Academic literature on the topic 'Amenable action'

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Journal articles on the topic "Amenable action"

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POPA, SORIN. "CLASSIFICATION OF ACTIONS OF DISCRETE AMENABLE GROUPS ON AMENABLE SUBFACTORS OF TYPE II." International Journal of Mathematics 21, no. 12 (December 2010): 1663–95. http://dx.doi.org/10.1142/s0129167x10006343.

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We prove a classification result for properly outer actions σ of discrete amenable groups G on strongly amenable subfactors of type II, N ⊂ M, a class of subfactors that were shown to be completely classified by their standard invariant [Formula: see text], in [27]. The result shows that the action σ is completely classified in terms of the action it induces on [Formula: see text]. As an application of this, we obtain that inclusions of type III λ factors, 0 < λ < 1, having discrete decomposition and strongly amenable graph, are completely classified by their standard invariant.
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BOWEN, LEWIS, and AMOS NEVO. "Pointwise ergodic theorems beyond amenable groups." Ergodic Theory and Dynamical Systems 33, no. 3 (April 16, 2012): 777–820. http://dx.doi.org/10.1017/s0143385712000041.

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AbstractWe prove pointwise and maximal ergodic theorems for probability-measure-preserving (PMP) actions of any countable group, provided it admits an essentially free, weakly mixing amenable action of stable typeIII$_1$. We show that this class contains all irreducible lattices in connected semi-simple Lie groups without compact factors. We also establish similar results when the stable type isIII$_\lambda $,$0 \lt \lambda \lt 1$, under a suitable hypothesis. Our approach is based on the following two principles. First, we show that it is possible to generalize the ergodic theory of PMP actions of amenable groups to include PMP amenable equivalence relations. Secondly, we show that it is possible to reduce the proof of ergodic theorems for PMP actions of a general group to the proof of ergodic theorems in an associated PMP amenable equivalence relation, provided the group admits an amenable action with the properties stated above.
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BOWEN, LEWIS. "Sofic entropy and amenable groups." Ergodic Theory and Dynamical Systems 32, no. 2 (June 13, 2011): 427–66. http://dx.doi.org/10.1017/s0143385711000253.

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AbstractIn previous work, the author introduced a measure-conjugacy invariant for sofic group actions called sofic entropy. Here, it is proven that the sofic entropy of an amenable group action equals its classical entropy. The proof uses a new measure-conjugacy invariant called upper-sofic entropy and a theorem of Rudolph and Weiss for the entropy of orbit-equivalent actions relative to the orbit changeσ-algebra.
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EXEL, RUY, and CHARLES STARLING. "Amenable actions of inverse semigroups." Ergodic Theory and Dynamical Systems 37, no. 2 (October 6, 2015): 481–89. http://dx.doi.org/10.1017/etds.2015.60.

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We say that an action of a countable discrete inverse semigroup on a locally compact Hausdorff space is amenable if its groupoid of germs is amenable in the sense of Anantharaman-Delaroche and Renault. We then show that for a given inverse semigroup ${\mathcal{S}}$, the action of ${\mathcal{S}}$ on its spectrum is amenable if and only if every action of ${\mathcal{S}}$ is amenable.
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Downarowicz, Tomasz, Dawid Huczek, and Guohua Zhang. "Tilings of amenable groups." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 747 (February 1, 2019): 277–98. http://dx.doi.org/10.1515/crelle-2016-0025.

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Abstract We prove that for any infinite countable amenable group G, any {\varepsilon>0} and any finite subset {K\subset G} , there exists a tiling (partition of G into finite “tiles” using only finitely many “shapes”), where all the tiles are {(K,\varepsilon)} -invariant. Moreover, our tiling has topological entropy zero (i.e., subexponential complexity of patterns). As an application, we construct a free action of G (in the sense that the mappings, associated to elements of G other than the unit, have no fixed points) on a zero-dimensional space, such that the topological entropy of this action is zero.
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MEYEROVITCH, TOM. "Pseudo-orbit tracing and algebraic actions of countable amenable groups." Ergodic Theory and Dynamical Systems 39, no. 9 (January 24, 2018): 2570–91. http://dx.doi.org/10.1017/etds.2017.126.

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Consider a countable amenable group acting by homeomorphisms on a compact metrizable space. Chung and Li asked if expansiveness and positive entropy of the action imply existence of an off-diagonal asymptotic pair. For algebraic actions of polycyclic-by-finite groups, Chung and Li proved that they do. We provide examples showing that Chung and Li’s result is near-optimal in the sense that the conclusion fails for some non-algebraic action generated by a single homeomorphism, and for some algebraic actions of non-finitely generated abelian groups. On the other hand, we prove that every expansive action of an amenable group with positive entropy that has the pseudo-orbit tracing property must admit off-diagonal asymptotic pairs. Using Chung and Li’s algebraic characterization of expansiveness, we prove the pseudo-orbit tracing property for a class of expansive algebraic actions. This class includes every expansive principal algebraic action of an arbitrary countable group.
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Kida, Yoshikata. "Inner amenable groups having no stable action." Geometriae Dedicata 173, no. 1 (December 1, 2013): 185–92. http://dx.doi.org/10.1007/s10711-013-9936-0.

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Ren, Xiankun, and Wenxiang Sun. "Local Entropy, Metric Entropy and Topological Entropy for Countable Discrete Amenable Group Actions." International Journal of Bifurcation and Chaos 26, no. 07 (June 30, 2016): 1650110. http://dx.doi.org/10.1142/s0218127416501108.

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Let [Formula: see text] be a compact metric space and [Formula: see text] a countable infinite discrete amenable group acting on [Formula: see text]. Like in the [Formula: see text]-action cases we define the notion of local entropy and by it we bound the difference between metric entropy and that of a partition, and bound the difference between topological entropy and that of a separated set, which generalize Theorems 1(1) and 1(2) in [Newhouse, 1989] from [Formula: see text]-actions to amenable group actions. We further prove that the entropy function [Formula: see text] is upper semi-continuous on [Formula: see text] for an asymptotic entropy expansive amenable group action.
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Mycielski, Jan. "Non-amenable groups with amenable action and some paradoxical decompositions in the plane." Colloquium Mathematicum 75, no. 1 (1998): 149–57. http://dx.doi.org/10.4064/cm-75-1-149-157.

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DONG, Z., and Y. Y. WANG. "FIXED POINT CHARACTERISATION FOR EXACT AND AMENABLE ACTION." Bulletin of the Australian Mathematical Society 92, no. 2 (June 16, 2015): 228–32. http://dx.doi.org/10.1017/s0004972715000520.

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Let $G$ be a finitely generated group acting on a compact Hausdorff space ${\mathcal{X}}$. We give a fixed point characterisation for the action being amenable. As a corollary, we obtain a fixed point characterisation for the exactness of $G$.
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Dissertations / Theses on the topic "Amenable action"

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Pennington, Allen. "Schreier Graphs of Thompson's Group T." Scholar Commons, 2017. http://scholarcommons.usf.edu/etd/6740.

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Thompson’s groups F, T, and V represent crucial examples of groups in geometric group theory that bridge it with other areas of mathematics such as logic, computer science, analysis, and geometry. One of the ways to study these groups is by understanding the geometric meaning of their actions. In this thesis we deal with Thompson’s group T that acts naturally on the unit circle S1, that is identified with the segment [0, 1] with the end points glued together. The main result of this work is the explicit construction of the Schreier graph of T with respect to the action on the orbit of 1/2. This is done by careful examination of patterns in how the generators of T act on binary words. As a main application, the nonamenability of the action of T on S1 is proved by defining injections on the set of vertices of the constructed graph that satisfy Gromov’s doubling condition. This gives an alternative proof of the known fact that T is nonamenable.
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Lécureux, Jean. "Automorphismes et compactifications d’immeubles : moyennabilité et action sur le bord." Thesis, Lyon 1, 2009. http://www.theses.fr/2009LYO10261/document.

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Cette thèse se propose d'étudier sous divers points de vue les groupes d'automorphismes d'immeubles. Un de ses objectifs est de mettre en valeur les différences autant que les analogies entre les immeubles affines et non affines. Pour appuyer cette dichotomie, on y démontre que les groupes d'automorphismes d'immeubles non affines n'ont jamais de paire de Gelfand, contrairement aux immeubles affines. Dans l'autre sens, pour souligner l'analogie entre immeubles affines et non affines, on définit une nouvelle notion de bord combinatoire d'un immeuble. Dans le cas des immeubles affines, ce bord s'identifie au bord polyédral. On relie la construction de ce bord à d'autres constructions déjà existantes, par exemple, la compactification de Busemann du graphe des chambres. La compactification combinatoire est également isomorphe à la compactification par la topologie de Chabauty de l'ensemble des chambres, sous des hypothèses de transitivité. On relie aussi le bord combinatoire à un autre espace, généralisant une construction de F. Karpelevic pour les espaces symétriques : celle du bord raffiné d'un espace CAT(0).On démontre alors que les points du bord paramètrent les sous-groupes moyennables maximaux de l'immeuble, à indice fini près. Enfin, on prouve que l'action du groupe d'automorphismes d'un immeuble localement fini sur le bord combinatoire de ce dernier est moyennable, fournissant ainsi des résolutions en cohomologie bornée et des applications bord explicites. Ceci donne aussi une nouvelle preuve que ces groupes satisfont la conjecture de Novikov
The object of this thesis is the study, from different point of views, of automorphism groups of buildings. One of its objectives is to highlight the differences as well as the analogies between affine and non-affine buildings. In order to support this dichotomy, we prove that automorphism groups of non-affine buildings never have a Gelfand pair, contrarily to affine buildings.In the other direction, the analogy between affine and non-affine buildings is supported by the new construction of a combinatorial boundary of a building. In the affine case, this boundary is in fact the polyhedral boundary. We connect the construction of this boundary to other compactifications, such as the Busemann compactification of the graph of chambers. The combinatorial compactification is also isomorphic to the group-theoretic compactification, which embeds the set of chambers into the set of closed subgroups of the automorphism group. We also connect the combinatorial boundary to another space, which generalises a construction of F. Karpelevic for symmetric spaces : the refined boundary of a CAT(0) space.We prove that the maximal amenable subgroups of the automorphism group are, up to finite index, parametrised by the points of the boundary. Finally, we prove that the action of the automorphism group of a locally finite building on its combinatorial boundary is amenable, thus providing resolutions in bounded cohomology and boundary maps. This also gives a new proof that these groups satisfy the Novikov conjecture
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Zhang, Qing. "Multiple recurrence and mixing properties for actions of amenable groups /." The Ohio State University, 1991. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487759436328088.

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Epstein, Inessa. "Some results on orbit inequivalent actions of non-amenable groups." Diss., Restricted to subscribing institutions, 2008. http://proquest.umi.com/pqdweb?did=1579720841&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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ua, golodets@ilt kharkov. "The spectrum of Completely Positive Entropy Actions of Countable Amenable Groups." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1078.ps.

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Zarka, Benjamin. "La propriété de décroissance rapide hybride pour les groupes discrets." Electronic Thesis or Diss., Université Côte d'Azur, 2023. http://www.theses.fr/2023COAZ4057.

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Un groupe finiment engendré G a la propriété RD lorsque l'algèbre de Sobolev du groupe H^s(G) s'injecte dans la C^*-algèbre réduite C^*_r(G). Cette inclusion permet de contrôler la norme de l'opérateur de convolution sur l^2(G) par des normes l^2 pondérées, et induit des isomorphismes en K-théorie. Il est connu que la présence de sous-groupes moyennables à croissance sur-polynomiale est une obstruction à cette propriété. Parallèlement à cela, on dispose toujours d'une inclusion canonique de l^1(G) dans C^*_r(G), mais cette estimation est en général moins fine que celle donnée par RD, et l'existence d'isomorphismes de K-théorie découlant de cette inclusion est un problème généralement ouvert qui est souvent issu de la combinaison des conjectures de Bost et Baum-Connes. C'est pourquoi, dans cette thèse, nous présenterons une version relative de la propriété RD appelée propriété RD_H basée sur une interpolation entre les normes l^1 et l^2 paramétrée par un sous-groupe H de G. Nous verrons que cette propriété peut être vue comme une généralisation aux cas des sous-groupes non distingués du fait que le quotient G/H ait la propriété RD. Nous étudierons certaines propriétés géométriques liées à l'espace G/H permettant de déduire ou d'infirmer la propriété RD_H. En particulier, nous nous pencherons sur le cas où H est un sous-groupe co-moyennable de G et le cas où G est un groupe relativement hyperbolique par rapport au sous-groupe H. Nous montrerons que la propriété RD_H nous permet d'obtenir une famille d'isomorphismes en K-théorie paramétrée par le choix du sous-groupe H, et d'obtenir une borne inférieure concernant la probabilité de retour dans le sous-groupe H d'une marche aléatoire symétrique. Une autre partie de la thèse est consacrée à l'existence d'un isomorphisme entre les groupes de K-théorie des algèbres l^1(G) et C^*_r(G) où l'on prouve la véracité de ce résultat pour certains produits semi-directs en combinant deux types de suites exactes sans faire intervenir les conjectures de Bost et Baum-Connes
A finitely generated group G has the property RD when the Sobolev space H^s(G) embeds in the group reduced C^*-algebra C^*_r(G). This embedding induces isomorphisms in K-theory, and allows to upper-bound the operator norm of the convolution on l^2(G) by weighted l^2 norms. It is known that if G contains an amenable subgroup with superpolynomial growth, then G cannot have property RD. In another hand, we always have the canonical inclusion of l^1(G) in C^*_r(G), but this estimation is generally less optimal than the estimation given by the property RD, and in most of cases, it needs to combine Bost and Baum-Connes conjectures to know if that inclusion induces K-theory isomorphisms. That's the reason why, in this thesis, we define a relative version of property RD by using an interpolation norm between l^1 and l^2 which depends on a subgroup H of G, and we call that property: property RD_H. We will see that property RD_H can be seen as an analogue for non-normal subgroups to the fact that G/H has property RD, and we will study what kind of geometric properties on G/H can imply or deny the property RD_H. In particular, we care about the case where H is a co-amenable subgroup of G, and the case where G is relatively hyperbolic with respect to H. We will show that property RD_H induces isomorphisms in K-theory, and gives us a lower bound concerning the return probability in the subgroup H for a symmetric random walk. Another part of the thesis is devoted to show that if G is a certain kind of semi-direct product, the inclusion l^1(G)subset C^*_r(G) induces isomorphisms in K-theory, we prove this statement by using two types of exact sequences without using Bost and Baum-Connes conjectures
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Sun, Michael. "The Tracial Rokhlin Property for Countable Discrete Amenable Group Actions on Nuclear Tracially Approximately Divisible C*-Algebras." Thesis, University of Oregon, 2014. http://hdl.handle.net/1794/18368.

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In this dissertation we explore the question of existence of a property of group actions on C*-algebras known as the tracial Rokhlin property. We prove existence of the property in a very general setting as well as specialise the question to specific situations of interest. For every countable discrete elementary amenable group G, we show that there always exists a G-action ω with the tracial Rokhlin property on any unital simple nuclear tracially approximately divisible C*-algebra A. For the ω we construct, we show that if A is unital simple and Z-stable with rational tracial rank at most one and G belongs to the class of countable discrete groups generated by finite and abelian groups under increasing unions and subgroups, then the crossed product A 􏰃ω G is also unital simple and Z-stable with rational tracial rank at most one. We also specialise the question to UHF algebras. We show that for any countable discrete maximally almost periodic group G and any UHF algebra A, there exists a strongly outer product type action α of G on A. We also show the existence of countable discrete almost abelian group actions with the "pointwise" Rokhlin property on the universal UHF algebra. Consequently we get many examples of unital separable simple nuclear C*-algebras with tracial rank zero and a unique tracial state appearing as crossed products.
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Ben, Ahmed Ali. "Géométrie et dynamique des structures Hermite-Lorentz." Thesis, Lyon, École normale supérieure, 2013. http://www.theses.fr/2013ENSL0824.

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Dans la veine du programme d'Erlangen de Klein, travaux d'E. Cartan, M. Gromov, et d'autres, ce travail se trouve à cheval, entre la géométrie et les actions de groupes. Le thème global serait de comprendre les groupes d'isométries des variétés pseudo-riemanniennes. Plus précisément, suivant une "conjecture vague" de Gromov, classifier les variétés pseudo-riemanniennes dont le groupe d'isométries agit non-proprement, i.e. que son action ne préserve pas de métrique riemannienne auxiliaire?Plusieurs travaux ont été accomplis dans le cas des métriques lorentziennes (i.e. de signature (- +...+)). En revanche, le cas pseudo-riemannien général semble hors de portée.Les structures Hermite-Lorentz se trouvent entre le cas lorentzien et le premier cas pseudo-riemannien général, i.e. de signature (- - +…+). De plus, elle se définit sur des variétés complexes, et promet une extra-rigidité. Plus précisément, une structure Hermite-Lorentz sur une variété complexe consiste en une métrique pseudo-riemannienne de signature (- - +…+) qui est hermitienne au sens qu'elle est invariante par la structure presque complexe. Par analogie au cas hermitien classique, on définit naturellement une notion de métrique Kähler-Lorentz.Comme exemple, on a l'espace de Minkowski complexe ; dans un certain sens, on a un temps de dimension 1 complexe (du point de vue réel, le temps est 2-dimensionnel). On a également l'espace de Sitter et anti de Sitter complexes. Ils ont une courbure holomorphe constante, et généralisent dans ce sens les espaces projectifs et hyperboliques complexes.Cette thèse porte sur les variétés Hermite-Lorentz homogènes. En plus des exemples cités, il y a deux autres espaces symétriques, qui peuvent naturellement jouer le rôle de complexification des espaces de Sitter et anti de Sitter réels.Le résultat principal de la thèse est un théorème de rigidité de ces espaces symétriques : tout espace Hermite-Lorentz homogène à isotropie irréductible est l'un des cinq espaces symétriques précédents. D'autres résultats concernent le cas où l'on remplace l'hypothèse d'irréductibilité par le fait que le groupe d'isométries soit semi-simple
In the vein of Klein's Erlangen program, the research works of E. Cartan, M.Gromov and others, this work straddles between geometry and group actions. The overall theme is to understand the isometry groups of pseudo-Riemannian manifolds. Precisely, following a "vague conjecture" of Gromov, our aim is to classify Pseudo-Riemannian manifolds whose isometry group act’s not properly, i.e that it’s action does not preserve any auxiliary Riemannian metric. Several studies have been made in the case of the Lorentzian metrics (i.e of signature (- + .. +)). However, general pseudo-Riemannian case seems out of reach. The Hermite-Lorentz structures are between the Lorentzian case and the former general pseudo-Riemannian, i.e of signature (- -+ ... +). In addition, it’s defined on complex manifolds, and promises an extra-rigidity. More specifically, a Hermite-Lorentz structure on a complex manifold is a pseudo-Riemannian metric of signature (- -+ ... +), which is Hermitian in the sense that it’s invariant under the almost complex structure. By analogy with the classical Hermitian case, we naturally define a notion of Kähler-Lorentz metric. We cite as example the complex Minkowski space in where, in a sense, we have a one-dimensional complex time (the real point of view, the time is two-dimensional). We cite also the de Sitter and Anti de Sitter complex spaces. They have a constant holomorphic curvature, and generalize in this direction the projective and complex hyperbolic spaces.This thesis focuses on the Hermite-Lorentz homogeneous spaces. In addition with given examples, two other symmetric spaces can naturally play the role of complexification of the de Sitter and anti de Sitter real spaces.The main result of the thesis is a rigidity theorem of these symmetric spaces: any space Hermite-Lorentz isotropy irreducible homogeneous is one of the five previous symmetric spaces. Other results concern the case where we replace the irreducible hypothesis by the fact that the isometry group is semisimple
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Hamouda, Hawa. "Modules maps and Invariant subsets of Banach modules of locally compact groups." 2013. http://hdl.handle.net/1993/17598.

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For a locally compact group G, the papers [13] and [7] have many results about G-invariant subsets of G-modules, and the relationship between G-module maps, L1(G)-module maps and M(G)-module maps. In both papers, the results were given for one specific module action. In this thesis we extended many of their results to arbitrary Banach G-modules. In addition, we give detailed proofs of most of the results found in the first section of the paper [21].
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Books on the topic "Amenable action"

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Ocneanu, Adrian. Actions of discrete amenable groups on von neumann algebras. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0098579.

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Actions of discrete amenable groups on von Neumann algebras. Berlin: Springer-Verlag, 1985.

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Heath, Robert. Maxims and rules of pleading: In actions real, personal and mixt, popular and penal : describing the nature of declarations, pleas, replications, rejoynders, and all other parts of pleading : shewing their validity and defects, and in what cases they are amenable by the court, or remediable by the statute-law, or otherwise ... London: Printed for Abel Roper, 1992.

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Kammeyer, Janet Whalen, and Daniel J. Rudolph. Restricted Orbit Equivalence for Actions of Discrete Amenable Groups. Cambridge University Press, 2012.

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Kammeyer, Janet Whalen, and Daniel J. Rudolph. Restricted Orbit Equivalence for Actions of Discrete Amenable Groups. Cambridge University Press, 2010.

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Ocneanu, Adrian. Actions of Discrete Amenable Groups on von Neumann Algebras. Springer, 1985.

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Ocneanu, Adrian. Actions of Discrete Amenable Groups on Von Neumann Algebras. Springer London, Limited, 2006.

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Kammeyer, Janet Whalen, and Daniel J. Rudolph. Restricted Orbit Equivalence for Actions of Discrete Amenable Groups. Cambridge University Press, 2011.

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Mitchell, Bruce. Resource and Environmental Management. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780190885816.001.0001.

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Change. Complexity. Uncertainty, Conflict, Ambiguity. Intractability. Wicked problems. Ethics, Integrity. All these terms capture much of what resource and environmental managers must address in determining the most appropriate course of action relative to social-ecological systems. Often, no obviously correct strategy or response is identifiable. Instead, options exist, each with strengths and weaknesses. Ultimately a decision must be taken, reflecting scientific and experiential understanding as well as values and priorities of societies and stakeholders. The intent in this book is to raise awareness about the need to recognize such attributes of resource and environmental management, and to provide concepts, approaches, and methods to help in developing solutions. At the outset, the importance of developing a vision is highlighted. In defining the scope of problems and opportunities, it is argued that a holistic or ecosystem approach should be interpreted as an integrated rather than a comprehensive approach, with the focus on a small set of variables and relationships having significant impact on the functioning of an ecosystem, and amenable to being managed. An adaptive management approach is also strongly encouraged, to learn from experience. Part of learning will arise through stakeholder engagement. Disputes may emerge, and need to be resolved. Finally, implementation of policies and plans can encounter many obstacles, emphasizing the need to become aware of and overcome them, and then monitor and assess outputs and outcomes, in order to adapt to changing circumstances.
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Furst, Eric M., and Todd M. Squires. Active microrheology. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199655205.003.0007.

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Active microrheology uses external forces (most typically magnetic or optical) to force microrheological probes into motion. These techniques short-circuit the Einstein component of passive microrheology. Active microrheology provides an additional handle to probe material properties, and has been used both to extend the range of materials amenable to microrheological analysis, and to examine material properties that are inaccessible to passive microrheology. Three main topics are presented: the use of active microrheology to extend the range of passive microrheology, while maintaining many of the advantages (small sample size, wide frequency range, etc.); its use to complement passive microrheology in active systems, which convert chemical fuel to mechanical work, in order to elucidate the power provided by molecular motors, for instance; and its application (and potential limitations) to investigate the non-linear response properties of materials, including shear thinning and yielding.
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Book chapters on the topic "Amenable action"

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Kerr, David, and Hanfeng Li. "Entropy for Actions of Amenable Groups." In Springer Monographs in Mathematics, 193–229. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-49847-8_9.

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Coornaert, Michel. "Mean Topological Dimension for Actions of Amenable Groups." In Universitext, 191–222. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19794-4_10.

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Lodkin, A. A., and A. M. Vershik. "Approximation for actions of amenable groups and transversal automorphisms." In Lecture Notes in Mathematics, 331–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074893.

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Scocchi, Marco, Maura Mattiuzzo, Monica Benincasa, Nikolinka Antcheva, Alessandro Tossi, and Renato Gennaro. "Investigating the Mode of Action of Proline-Rich Antimicrobial Peptides Using a Genetic Approach: A Tool to Identify New Bacterial Targets Amenable to the Design of Novel Antibiotics." In Peptide-Based Drug Design, 161–76. Totowa, NJ: Humana Press, 2008. http://dx.doi.org/10.1007/978-1-59745-419-3_9.

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Félix, Yves, John Oprea, and Daniel Tanré. "G-spaces." In Algebraic Models in Geometry, 271–316. Oxford University PressOxford, 2008. http://dx.doi.org/10.1093/oso/9780199206513.003.0007.

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Abstract The history of group actions is intimately tied up with the development of both algebraic topology and Lie group theory. In this chapter, we show how minimal models can be used to study compact Lie group actions on manifolds. We focus on certain aspects of group actions that are especially amenable to model techniques. Throughout the chapter, G will generally denote a Lie group acting on a compact manifold M . Certain properties of M will be apparent. For instance, when the action is free (i.e. no point in M is left fixed by any g G ), we have a principal G -bundle M M/G with the particular consequence that χ (M) 0.
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Vyse, Stuart. "Ridiculous Reason." In The Uses of Delusion, 1–17. Oxford University Press, 2022. http://dx.doi.org/10.1093/oso/9780190079857.003.0001.

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This chapter outlines the popular methods of judging whether a belief is good or bad and whether an action is adequately grounded in sound logic. The chapter summarizes a debate between William Clifford and William James about whether it is ever justified to hold a belief without adequate evidence and describes a contemporary model of rational choice. Behavior based in delusion represents a deviation from rational choice, and in most cases delusions lead to ineffective or self-defeating behavior. But, in some important instances, delusional behavior can produce happier relationships, better adjustment to life’s challenges, and more effective action. Some delusions are impossible to reverse, even when the person knows they are illusions. But other delusions seem more malleable and amenable to change. In these cases, people may be aware of their delusions.
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Trowler, Paul. "The Practice Sensibility and the Challenges of Change." In Accomplishing Change in Teaching and Learning Regimes, 157–70. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198851714.003.0007.

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Chapter 7 sets out synoptically the conceptual, analytical, and theoretical contribution of the book. Readers who want a concise summary of the theoretical position set out here can turn to the first few pages of this chapter. The contribution to research and for professional action is summarized, and some suggestions for research with a practice sensibility are offered. The chapter shows how the characteristics and functions of theory in general are specifically addressed in the approach taken here. It summarizes what this approach offers and outlines the areas that need supplementary theories and designs—those less amenable to the social practice approach.
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"The New Economic Role of American States." In The New Economic Role of American States, edited by R. Scott Fosler, 311–30. Oxford University PressNew York, NY, 1991. http://dx.doi.org/10.1093/oso/9780195067774.003.0017.

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Abstract Viewed in a historical context, the recent state economic activism portrayed in these case studies is not a departure from American political traditions but very much in keeping with them. The states, as they have done in the past, are responding to practical pressures associated with changing economic circumstance. Their role is more salient now than in the previous half-century, because many contemporary economic challenges are more amenable to public action at the regional and local levels, and because for the moment, the federal government has willingly relinquished its leadership role in domestic policy.
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Price, Nicholas C., and Jacqueline Nairn. "Enzyme activity and mechanism." In Exploring proteins: a student’s guide to experimental skills and methods. Oxford University Press, 2009. http://dx.doi.org/10.1093/hesc/9780199205707.003.0012.

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This chapter illustrates some of the main approaches used to gain an understanding of the mechanism of enzyme action. A complete description of a mechanism involves both kinetic and structural aspects and hence it can be a long process to achieve this goal. The chapter focuses on the kinetic experiments as these are more amenable to routine laboratory investigations. It also looks at some of the structural approaches which can be used, such as the mapping of active sites and identification of amino acids involved in catalysis or binding. There are at least three good reasons why a study of enzyme kinetics is important. Firstly, it is observing the enzyme doing its job, i.e. actually catalysing a reaction. Secondly, it can provide very important information about the mechanism. Thirdly, it helps one to understand the physiological role of the enzyme in an organism.
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Dennett, Anne. "15. Introduction to judicial review." In Public Law Directions, 339–57. Oxford University Press, 2019. http://dx.doi.org/10.1093/he/9780198807315.003.0015.

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This chapter looks at the purpose and constitutional significance of judicial review. Where public bodies overreach themselves by acting unlawfully, the judicial review process allows individuals to hold public bodies to account in the courts, ensuring that governmental and public powers are lawfully exercised. This maintains the rule of law by helping to protect the public from the arbitrary or unreasonable exercise of government power. Judicial review is therefore a powerful check and control by the courts on executive action, but it also raises issues of whether the process gives the judiciary too much power over the elected government. There are three preliminary or threshold issues that a claimant needs to satisfy when bringing a judicial review claim. To be amenable to judicial review, the claim must raise a public law matter; it must be justiciable; and the claimant must have standing (locus standi).
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Conference papers on the topic "Amenable action"

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Ghilardi, Silvio, Alessandro Gianola, Marco Montali, and Andrey Rivkin. "Safety Verification and Universal Invariants for Relational Action Bases." In Thirty-Second International Joint Conference on Artificial Intelligence {IJCAI-23}. California: International Joint Conferences on Artificial Intelligence Organization, 2023. http://dx.doi.org/10.24963/ijcai.2023/362.

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Modeling and verification of dynamic systems operating over a relational representation of states are increasingly investigated problems in AI, Business Process Management and Database Theory. To make these systems amenable to verification, the amount of information stored in each state needs to be bounded, or restrictions are imposed on the preconditions and effects of actions. We lift these restrictions by introducing the framework of Relational Action Bases (RABs), which generalizes existing frameworks and in which unbounded relational states are evolved through actions that can (1) quantify both existentially and universally over the data, and (2) use arithmetic constraints. We then study parameterized safety of RABs via (approximated) SMT-based backward search, singling out essential meta-properties of the resulting procedure, and showing how it can be realized by an off-the-shelf combination of existing verification modules of the state-of-the-art MCMT model checker. We demonstrate the effectiveness of this approach on a benchmark of data-aware business processes. Finally, we show how universal invariants can be exploited to make this procedure fully correct.
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Edmondson, Bryce J., Landen A. Bowen, Clayton L. Grames, Spencer P. Magleby, Larry L. Howell, and Terri C. Bateman. "Oriceps: Origami-Inspired Forceps." In ASME 2013 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/smasis2013-3299.

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This paper presents the conceptualization and modeling of a compliant forceps design, which we have called Oriceps, as an example of origami-inspired design that has application in a variety of settings including robotic surgeries. Current robotic forceps often use traditional mechanisms with parts that are difficult to clean, wear quickly, and are challenging to fabricate due to their complexity and small size. The Oriceps design is based on the spherical kinematic configurations of several action origami models, and can be fabricated by cutting and folding flat material. This design concept has potential implementation as surgical forceps because it would require fewer parts, be easier to sterilize, and be potentially suitable for both macro and micro scales. The folded and planar characteristics of this design could be amenable to application of smart materials resulting in smaller scale, greater tool flexibility, integrated actuation, and an adaptability to a variety of tool functions. The suitability of shape-memory materials for use in Oriceps is discussed.
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MOON, S., and A. VALETTE. "NON-PROPERNESS OF AMENABLE ACTIONS ON GRAPHS WITH INFINITELY MANY ENDS." In Proceedings of a Conference in Honor of Akbar Rhemtulla. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812708670_0020.

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Ruikar, Neha S., Chris A. Satkoski, and Greg Shaver. "Control Design Amenable Model of Needle Position for a Direct Acting Piezoelectric Fuel Injector." In ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control. ASMEDC, 2011. http://dx.doi.org/10.1115/dscc2011-6049.

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Piezo electric injectors provide a means to lower emissions, noise and fuel consumption in advanced IC engines, by providing the capability to allow for tightly spaced injections and rate shaping. With a focus on generating a control design amenable model capturing the injector needle dynamics, the effort described here includes a model simplification and reduction strategy of an experimentally validated, physics-based 13 state model of a direct acting piezo electric injector. The resulting reduced order model for needle dynamics is validated for both single and multi pulse conditions.
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Thompson, Richard A. "Photonic Time-Multiplexed Permutation Switching using the Dilated Slipped Banyan Network." In Photonic Switching. Washington, D.C.: Optica Publishing Group, 1991. http://dx.doi.org/10.1364/phs.1991.we6.

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A new switching network architecture, called the Dilated Slipped Banyan Network(DSBN), is proposed for the hub of a photonic active-star Local Area Network (LAN). A lithium niobate implementation of a classical 4-by-4 banyan architecture was proposed[1]: for bit-interleaved time-multiplexing. The DSBN has properties, described herein, that make it more general in size and more amenable to lithium niobate implementation than the classical banyan. Furthermore, since the active-star LAN application could use a word-interleaved data format instead of a bit-interleaved format, the hub switch need not be bit-synchronous with the data.
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Kurdila, Andrew J., Yunfei Feng, and George A. Lesieutre. "Hybrid System Stability and Capacitive Shunting of Piezoelectric Stiffness." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1694.

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Abstract Recent research demonstrated that an actively-switched capacitive shunt circuit across a piezoceramic stiffness element can provide the basis for a frequency-tunable solid state vibration absorber. From a theoretical standpoint, the stability characteristics of such a design are amenable to conventional mechanical systems analysis when the shunt circuit operates in quasi-steady manner. However, when active tracking of a disturbance is desired to enhance broadband disturbance attenuation, the conditions for closed loop stability of the electromechanical system are not clear. In the present research, a simplified mechanical model of a switch-shunted piezoceramic was first developed. This model was amenable to study as a hybrid or Witsenhausen switching system. Using the method of multiple Lyapunov functions, the simplified model was shown to be unstable for some switching strategies. Subsequently, a coupled electromechanical model was developed and used as the basis for numerical performance simulation. In this model, all switching strategies evaluated resulted in stable systems, although some exhibited considerably higher effective damping than others. These results indicate the importance of retaining electrical states in dynamical models of switched piezoelectric systems.
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Vashishth, Deepak, Winson George, Jennifer Smith, John B. Brunski, and Lee Ostrander. "Hands-on Approaches to Biomechanics Education in a Technologically Connected Classroom." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/bed-23022.

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Abstract In contrast to the traditional classroom environment that promotes passive learning, the multimedia-based studio approach is considered to be a more effective tool for delivering course content as it increases active in-class involvement, teamwork experience and cooperative learning (Wilson 1994). More significantly, the studio environment provides a plethora of opportunities to include case studies that promote hands-on experience and problem-solving, illustrate real-life problems and increase student interest in the course content (Starrett and Morcos 2001). In general, engineering courses benefit from the availability of simulation and analysis software in a multimedia studio environment. Biomedical engineering courses including biomechanics, however, are not always amenable to simulation and often require the setting of complicated and expensive tests involving human subjects and hazardous materials. Furthermore, unlike traditional medical courses, biomedical engineering departments do not have extensive teaching laboratories and students have little or no clinical exposure.
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Krishnan, Arjun S., Ravi Shankar, Tushar K. Ghosh, and Richard J. Spontak. "Nanostructured Triblock Copolymer Network With Tailorable Electroactive Response." In ASME 2008 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2008. http://dx.doi.org/10.1115/smasis2008-529.

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In recent years, the use of electroactive polymers (EAPs), which are polymeric materials that respond to an external electrical stimulus by changing shape or size, has been the focus of considerable research effort. While most studies have considered chemically cross-linked homopolymers, only a few reports have addressed the use of physically cross-linked triblock copolymer systems. We have previously demonstrated that triblock copolymer networks swollen by a midblock-selective, nonvolatile solvent constitute excellent candidates as dielectric elastomers, one class of EAP materials. Due to the presence of a molecularly self-organized nanostructure in such materials, this EAP genre is generally referred to as electro-active nanostructured polymers (ENPs). These systems not only exhibit high actuation strains (>200%), but are also amenable to facile processing and recycling. In this study, we examine the electromechanical response of symmetric triblock copolymers possessing styrenic endblocks and a rubbery midblock selectively solvated with an aliphatic mineral oil. Our findings show that the specimen thickness has a significant effect on the electroactive response of the system. Moreover, we are able to correlate the electromechanical properties of ENPs with their mechanical properties.
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Hadley, G. Ronald. "Understanding leaky-mode arrays via 2-D coupled mode theory." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.maa5.

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The first insights into index-guided diode laser array behavior were provided by using the effective index method to solve for the modes of the individual waveguides and coupled-mode theory to describe how these mix to form the array modes. Although this procedure has been fruitful for the study of conventional arrays, new devices now being fabricated employ large index steps for defining the channels, and thus are not amenable to the effective index approximation. Even worse, the modes of these devices, when calculated numerically, are very complex. This fact, together with the enormous parameter space resulting from the many possible shapes and spacings of the buried ridges, lead to serious difficulties in mode categorization and device design. Sidestepping the effective index approximation, we use coupledmode theory directly by considering the active region and the buried ridges as separate 2-D waveguides. The device modes are then expressed as linear combinations of these waveguide modes. This picture serves to unify our understanding of index-guided arrays in general, and offers a means of understanding leaky-mode array operation in particular by dramatically reducing the parameter space to consist only of the propagation constants of the lowest-order waveguide modes and their coupling coefficient.
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Choquette, Kent D., R. P. Schneider, K. L. Lear, M. Hagerott Crawford, K. M. Geib, J. J. Figiel, and Robert Hull. "Robust and Wavelength Insensitive Performance of Selectively Oxidized Vertical-Cavity Lasers." In Semiconductor Lasers: Advanced Devices and Applications. Washington, D.C.: Optica Publishing Group, 1995. http://dx.doi.org/10.1364/slada.1995.tud.7.

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The unique properties of vertical-cavity surface emitting lasers (VCSELs), such as circular output beam, single longitudinal mode, and 2-dimensional array capability, make them promising light sources for a variety of applications, including optical data links, data storage, display and printing systems. Moreover, on-wafer testing and compatibility with traditional integrated circuit fabrication technologies make VCSEL manufacture feasible and potentially inexpensive. Recently, VCSELs fabricated using "wet" oxidation1 have demonstrated the lowest threshold current (91µA),2 lowest threshold voltage (45mV above photon gap),3 and highest power conversion efficiency (52%)4 ever reported in VCSELs. The latter two results were obtained from an all semiconductor VCSEL structure that utilizes selective oxidation to form buried oxide layers. The low index oxide layers form current apertures sandwiching the active region to efficiently confine injected carriers as well as transversely confine the emitted photons. In this paper we show that the fabrication uniformity we have obtained using our selective oxidation process can reproducibly yield high performance VCSELs that are attractive for potential applications. In addition, these lasers exhibit high performance over a wide emission wavelength range from a given wafer. Finally, our selectively oxidized device structure is demonstrated to be robust and amenable to a variety emission wavelengths, currently extending from the infra-red to visible.
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