Academic literature on the topic 'Group actions'

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Journal articles on the topic "Group actions"

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Tsai, Jessica Chia-Chin, Natalie Sebanz, and Günther Knoblich. "The GROOP effect: Groups mimic group actions." Cognition 118, no. 1 (January 2011): 135–40. http://dx.doi.org/10.1016/j.cognition.2010.10.007.

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CARBONE, LISA, and ELIYAHU RIPS. "RECONSTRUCTING GROUP ACTIONS." International Journal of Algebra and Computation 23, no. 02 (March 2013): 255–323. http://dx.doi.org/10.1142/s021819671340002x.

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We give a general structure theory for reconstructing non-trivial group actions on sets without any further assumptions on the group, the action, or the set on which the group acts. Using certain "local data" [Formula: see text] from the action we build a group [Formula: see text] of the data and a space [Formula: see text] with an action of [Formula: see text] on [Formula: see text] that arise naturally from the data [Formula: see text]. We use these to obtain an approximation to the original group G, the original space X and the original action G × X → X. The data [Formula: see text] is distinguished by the property that it may be chosen from the action locally. For a large enough set of local data [Formula: see text], our definition of [Formula: see text] in terms of generators and relations allows us to obtain a presentation for the group G. We demonstrate this on several examples. When the local data [Formula: see text] is chosen from a graph of groups, the group [Formula: see text] is the fundamental group of the graph of groups and the space [Formula: see text] is the universal covering tree of groups. For general non-properly discontinuous group actions our local data allows us to imitate a fundamental domain, quotient space and universal covering for the quotient. We exhibit this on a non-properly discontinuous free action on ℝ. For a certain class of non-properly discontinuous group actions on the upper half-plane, we use our local data to build a space on which the group acts discretely and cocompactly. Our combinatorial approach to reconstructing abstract group actions on sets is a generalization of the Bass–Serre theory for reconstructing group actions on trees. Our results also provide a generalization of the notion of developable complexes of groups by Haefliger.
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Müller, Gerd. "Deformations of reductive group actions." Mathematical Proceedings of the Cambridge Philosophical Society 106, no. 1 (July 1989): 77–88. http://dx.doi.org/10.1017/s0305004100067992.

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Consider actions of a reductive complex Lie group G on an analytic space germ (X, 0). In a previous paper [16] we proved that such an action is determined uniquely (up to conjugation with an automorphism of (X, 0)) by the induced action of G on the tangent space of (X, 0). Here it will be shown that every deformation of such an action, parametrized holomorphically by a reduced analytic space germ, is trivial, i.e. can be obtained from the given action by conjugation with a family of automorphisms of (X, 0) depending holomorphically on the parameter. (For a more precise formulation in terms of actions on analytic ℂ-algebras, see Theorem 2 below. An analogue for actions on formal ℂ-algebras is given there too.)
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Yalçin, Ergün. "Group actions and group extensions." Transactions of the American Mathematical Society 352, no. 6 (February 24, 2000): 2689–700. http://dx.doi.org/10.1090/s0002-9947-00-02485-5.

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Kolganova, Alla. "Chaotic group actions." Bulletin of the Australian Mathematical Society 56, no. 1 (August 1997): 165–67. http://dx.doi.org/10.1017/s0004972700030847.

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Wasserman, Arthur G. "Simplifying group actions." Topology and its Applications 75, no. 1 (January 1997): 13–31. http://dx.doi.org/10.1016/s0166-8641(96)00084-3.

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Ben Yaacov, Itaï, and Julien Melleray. "Isometrisable group actions." Proceedings of the American Mathematical Society 144, no. 9 (February 17, 2016): 4081–88. http://dx.doi.org/10.1090/proc/13018.

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Shi, Enhui, Lizhen Zhou, and Youcheng Zhou. "Chaotic group actions." Applied Mathematics-A Journal of Chinese Universities 18, no. 1 (March 2003): 59–63. http://dx.doi.org/10.1007/s11766-003-0084-4.

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Rosenblatt, Joseph. "Ergodic group actions." Archiv der Mathematik 47, no. 3 (September 1986): 263–69. http://dx.doi.org/10.1007/bf01192003.

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Oh, Ju-Mok. "Fuzzified group actions." Soft Computing 23, no. 24 (August 7, 2019): 12981–89. http://dx.doi.org/10.1007/s00500-019-04261-3.

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Dissertations / Theses on the topic "Group actions"

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Suabedissen, Rolf. "Topologizing group actions." Thesis, University of Oxford, 2006. http://ora.ox.ac.uk/objects/uuid:ca186b79-b4ea-423f-a697-5ed47b4672f9.

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This thesis is centered on the following question: Given an abstract group action by an Abelian group G on a set X, when is there a compact Hausdorff topology on X such that the group action is continuous? If such a topology exists, we call the group action compact-realizable. We show that if G is a locally-compact group, a necessary condition for a G-action to be compact-realizable, is that the image of X under the stabilizer map must be a compact subspace of the collection of closed subgroups of G equipped with the co-compact topology. We apply this result to give a complete characterization for the case when G is a compact Abelian group in terms of the existence of continuous compact Hausdorff pre-images of a certain topological space associated with the group action. If G is not compact, we will show that the necessary condition is not sufficient. Together with various examples, we then present a general two-stage method of construction for compact Hausdorff topologies for R-actions. For discrete groups, the necessary condition above turns out to be not very strong. In the case of G = Z2 we will see that the two cases |X| < c and |X| ≥ c must be treated very differently. We derive necessary conditions for a group action with |X| < c to be compact-realizable by constructing particularly nice open partitions of the space X. We then use symbolic dynamics together with some generic constructions to obtain a partial converse in this case. If |X| ≥ c we give further constructions of compact Hausdorff topologies for which the group action is continuous.
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Chung, Kin Hoong School of Mathematics UNSW. "Compact Group Actions and Harmonic Analysis." Awarded by:University of New South Wales. School of Mathematics, 2000. http://handle.unsw.edu.au/1959.4/17639.

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A large part of the structure of the objects in the theory of Dooley and Wildberger [Funktsional. Anal. I Prilozhen. 27 (1993), no. 1, 25-32] and that of Rouviere [Compositio Math. 73 (1990), no. 3, 241-270] can be described by considering a connected, finite-dimentional symmetric space G/H (as defined by Rouviere), with ???exponential map???, Exp, from L G/L H to G/H, an action, ???: K ??? Aut??(G) (where Aut?? (G) is the projection onto G/H of all the automorphisms of G which leave H invariant), of a Lie group, K, on G/H and the corresponding action, ???# , of K on L G/L H defined by g ??? L (???g), along with a quadruple (s, E, j, E#), where s is a ???# - invariant, open neighbourhood of 0 in L G/L H, E is a test-function subspace of C??? (Exp s), j ?? C??? (s), and E# is a test-function subspace of C??? (s) which contains { j.f Exp: f ?? E }. Of interest is the question: Is the function ???: ?? ??? ????, where ??: f ??? j.f Exp, a local associative algebra homomorphism from F# with multiplication defined via convolution with respect to a function e: s x s ??? C, to F, with the usual convolution for its multiplication (where F is the space of all ??? - invariant distributions of E and F# is the space of all ???# - invariant distributions of E#)? For this system of objects, we can show that, to some extent, the choice of the function j is not critical, for it can be ???absorbed??? into the function e. Also, when K is compact, we can show that ??? ker ?? = { f ?? E : ???k f (???g) dg = 0}. These results turn out to be very useful for calculations on s2 ??? G/H, where G = SO(3) and H??? SO(3) with H ??? SO(2) with ??? : h ??? Lh, as we can use these results to show that there is no quadruple (s, E, j, E#) for SO(3)/H with j analytic in some neighbourhood of 0 such that ??? is a local homomorphism from F# to F. Moreover, we can show that there is more than one solution for the case where s, E and E# are as chosen by Rouviere, if e is does not have to satisfy e(??,??) = e(??,??).
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Klaus, Michele. "Group actions on homotopy spheres." Thesis, University of British Columbia, 2011. http://hdl.handle.net/2429/35981.

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In the first part of the thesis we discuss the rank conjecture of Benson and Carlson. In particular, we prove that if G is a finite p-group of rank 3 and with p odd, or if G is a central extension of abelian p-groups, then there is a free finite G-CW-complex homotopy equivalent to the product of rk(G) spheres; where rk(G) is the rank of G. We also treat an extension of the rank conjecture to groups of finite virtual cohomological dimension. In this context, for p a fixed odd prime, we show that there is an infinite group L satisfying the two following properties: every finite subgroup G
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Nica, Bogdan. "Group actions on median spaces." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=80342.

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We investigate a particular type of geometry, namely median metric spaces. This encompasses median graphs, as well as simple combinatorial structures known as spaces with walls.
The group-theoretic applications are towards the Kazhdan property and the Haagerup property.
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Morris, Gary. "Dynamical constraints on group actions." Thesis, University of East Anglia, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.267775.

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Helsdon, Mark Andrew. "Group actions on real trees." Thesis, University of Cambridge, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.613233.

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Moseley, Daniel, and Daniel Moseley. "Group Actions on Hyperplane Arrangements." Thesis, University of Oregon, 2012. http://hdl.handle.net/1794/12373.

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In this dissertation, we will look at two families of algebras with connections to hyperplane arrangements that admit actions of finite groups. One of the fundamental questions to ask is how these decompose into irreducible representations. For the first family of algebras, we will use equivariant cohomology techniques to reduce the computation to an easier one. For the second family, we will use two decompositions over the intersection lattice of the hyperplane arrangement to aid us in computation.
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Clarkson, James Price. "Group actions on finite homotopy spheres." Thesis, University of British Columbia, 2010. http://hdl.handle.net/2429/27134.

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Recently, Grodal and Smith [7}have developed a finite algebraic model to study hG-spaces where G is a finite group. The procedure associates to each G-space X with finite F_p homology a perfect chain complex of functors over the orbit category. When X has the homotopy type of a sphere, this construction is particularly well behaved. The reverse construction, building an hG-space from the algebraic model, generally produces an infinite dimensional space. In this thesis, we construct a finiteness obstruction for hG-spheres working one prime at a time. We then begin the development of a global finiteness obstruction. When G is the metacyclic group of order pq, we are able to go further and express the global finiteness obstruction in terms of dimension functions. In addition, we relate the work of tom Dieck and Petrie [19] concerning homotopy representations to the newer model of Grodal and Smith, and compute the rank of V_w(G). We conclude with some new examples of finite Σ₃-spheres.
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Posthuma, Hessel Bouke. "Quantization of Hamiltonian loop group actions." [S.l. : Amsterdam : s.n.] ; Universiteit van Amsterdam [Host], 2003. http://dare.uva.nl/document/70151.

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Platten, Richard John. "Proper group actions on CW-complexes." Thesis, Queen Mary, University of London, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.392890.

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Books on the topic "Group actions"

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Adalbert, Kerber, ed. Applied finite group actions. 2nd ed. Berlin: Springer, 1999.

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1943-, Schultz Reinhard, American Mathematical Society, Institute of Mathematical Statistics, and Society for Industrial and Applied Mathematics., eds. Group actions on manifolds. Providence, R.I: American Mathematical Society, 1985.

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Schultz, Reinhard, ed. Group Actions on Manifolds. Providence, Rhode Island: American Mathematical Society, 1985. http://dx.doi.org/10.1090/conm/036.

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Montgomery, Susan, ed. Group Actions on Rings. Providence, Rhode Island: American Mathematical Society, 1985. http://dx.doi.org/10.1090/conm/043.

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Kerber, Adalbert. Applied Finite Group Actions. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-11167-3.

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Kerber, Adalbert. Applied Finite Group Actions. 2nd ed. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999.

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Adem, Alejandro, Jon Carlson, Stewart Priddy, and Peter Webb, eds. Group Representations: Cohomology, Group Actions and Topology. Providence, Rhode Island: American Mathematical Society, 1997. http://dx.doi.org/10.1090/pspum/063.

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Kerber, Adalbert. Algebraic combinatorics via finite group actions. Mannheim: B.I. Wissenschaftsverlag, 1991.

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Dynamical systems and group actions. Providence, R.I: American Mathematical Society, 2012.

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Geometry, rigidity, and group actions. Chicago: The University of Chicago Press, 2011.

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Book chapters on the topic "Group actions"

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Knapp, Anthony W. "Groups and Group Actions." In Basic Algebra, 117–210. Boston, MA: Birkhäuser Boston, 2006. http://dx.doi.org/10.1007/978-0-8176-4529-8_4.

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Gallier, Jean, and Jocelyn Quaintance. "Groups and Group Actions." In Differential Geometry and Lie Groups, 117–61. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-46040-2_5.

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Martinet, Jacques. "Group Actions." In Grundlehren der mathematischen Wissenschaften, 383–426. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-05167-2_11.

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Giordano, Thierry, David Kerr, N. Christopher Phillips, and Andrew Toms. "Group Actions." In Advanced Courses in Mathematics - CRM Barcelona, 51–91. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-70869-0_8.

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Löh, Clara. "Group actions." In Geometric Group Theory, 75–114. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-72254-2_4.

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Isaacs, I. "Group actions." In Graduate Studies in Mathematics, 42–54. Providence, Rhode Island: American Mathematical Society, 2009. http://dx.doi.org/10.1090/gsm/100/04.

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Schwarz, Albert S. "Group Actions." In Grundlehren der mathematischen Wissenschaften, 241–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-02943-5_42.

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van den Essen, Arno. "Group actions." In Polynomial Automorphisms, 203–37. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8440-2_9.

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Shult, Ernest, and David Surowski. "Permutation Groups and Group Actions." In Algebra, 105–36. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19734-0_4.

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Machì, Antonio. "Group Actions and Permutation Groups." In UNITEXT, 87–153. Milano: Springer Milan, 2012. http://dx.doi.org/10.1007/978-88-470-2421-2_3.

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Conference papers on the topic "Group actions"

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Bojanczyk, Mikolaj, Bartek Klin, and Slawomir Lasota. "Automata with Group Actions." In 2011 26th Annual IEEE Symposium on Logic in Computer Science (LICS 2011). IEEE, 2011. http://dx.doi.org/10.1109/lics.2011.48.

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Izumi, Masaki. "Group Actions on Operator Algebras." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0109.

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FUJIWARA, KOJI. "CONSTRUCTING GROUP ACTIONS ON QUASI-TREES." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0089.

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JONES, LOWELL E. "CHAIN COMPLEX INVARIANTS FOR GROUP ACTIONS." In Proceedings of the School. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704443_0011.

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Hamenstädt, Ursula. "Actions of the Mapping Class Group." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0084.

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Keil, Jennifer, Rebecca Stober, Emily Quinty, Bridget Molloy, and Nicholas Hooker. "Identifying and Analyzing Actions of Effective Group Work." In 2015 Physics Education Research Conference. American Association of Physics Teachers, 2015. http://dx.doi.org/10.1119/perc.2015.pr.036.

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Sethi, Ricky J. "Towards defining groups and crowds in video using the atomic group actions dataset." In 2015 IEEE International Conference on Image Processing (ICIP). IEEE, 2015. http://dx.doi.org/10.1109/icip.2015.7351338.

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Habe, Hitoshi, Kohei Kajiwara, Ikuhisa Mitsugami, and Yasushi Yagi. "Group Leadership Estimation Based on Influence of Pointing Actions." In 2013 2nd IAPR Asian Conference on Pattern Recognition (ACPR). IEEE, 2013. http://dx.doi.org/10.1109/acpr.2013.181.

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Guan, Peng, and Yun Qian. "Sensitive dependence on initial of chaotic semi-group actions." In 2012 8th International Conference on Natural Computation (ICNC). IEEE, 2012. http://dx.doi.org/10.1109/icnc.2012.6234653.

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DAVIS, M. W., and I. J. LEARY. "SOME EXAMPLES OF DISCRETE GROUP ACTIONS ON ASPHERICAL MANIFOLDS." In Proceedings of the School. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704443_0006.

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Reports on the topic "Group actions"

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Cho, Yong Seung. Finite Group Actions in Seiberg–Witten Theory. GIQ, 2012. http://dx.doi.org/10.7546/giq-8-2007-135-143.

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Nicholson, John A. The Potentiality for State Failure via Organized Crime. Actions of the Joint Interagency Coordination Group (JIACG) in Mitigating Risk for the Combatant Commander. Fort Belvoir, VA: Defense Technical Information Center, May 2003. http://dx.doi.org/10.21236/ada420407.

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S. Abdellatif, Omar, Ali Behbehani, and Mauricio Landin. Luxembourg COVID-19 Governmental Response. UN Compliance Research Group, August 2021. http://dx.doi.org/10.52008/lux0501.

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The UN Compliance Research Group is a global organization which specializes in monitoring the work of the United Nations (UN). Through our professional team of academics, scholars, researchers and students we aim to serve as the world's leading independent source of information on members' compliance to UN resolutions and guidelines. Our scope of activity is broad, including assessing the compliance of member states to UN resolutions and plan of actions, adherence to judgments of the International Court of Justice (ICJ), World Health Organization (WHO) guidelines and commitments made at UN pledging conferences. We’re proud to present the international community and global governments with our native research findings on states’ annual compliance with the commitments of the UN and its affiliated agencies. Our goal as world citizens is to foster a global change towards a sustainable future; one which starts with ensuring that the words of delegates are transformed into action and that UN initiatives don’t remain ink on paper. Hence, we offer policy analysis and provide advice on fostering accountability and transparency in UN governance as well as tracing the connection between the UN policy-makers and Non-governmental organizations (NGOs). Yet, we aim to adopt a neutral path and do not engage in advocacy for issues or actions taken by the UN or member states. Acting as such, for the sake of transparency. The UN Compliance Research Group dedicates all its effort to inform the public and scholars about the issues and agenda of the UN and its affiliated agencies.
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Moore, Robert F. The Maritime Action Group As a Future Carrier Battle Group Substitute. Fort Belvoir, VA: Defense Technical Information Center, February 2000. http://dx.doi.org/10.21236/ada378747.

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Snijder, Mieke, and Marina Apgar, J. How Does Participatory Action Research Generate Innovation? Findings from a Rapid Realist Review. Institute of Development Studies (IDS), July 2021. http://dx.doi.org/10.19088/clarissa.2021.009.

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This Emerging Evidence Report shares evidence of how, for whom, and under what circumstances, Participatory Action Research (PAR) leads to innovative actions. A rapid realist review was undertaken to develop programme theories that explain how PAR generates innovation. The methodology included peer-reviewed and grey literature and moments of engagement with programme staff, such that their input supported the development and refinement of three resulting initial programme theories (IPTs) that we present in this report. Across all three IPTs, safe relational space, group facilitation, and the abilities of facilitators, are essential context and intervention components through which PAR can generate innovation. Implications from the three IPTs for evaluation design of the CLARISSA programme are identified and discussed. The report finishes with opportunities for the CLARISSA programme to start building an evidence base of how PAR works as an intervention modality, such as evidencing group-level conscientisation, the influence of intersecting inequalities, and influence of diverse perspectives coming together in a PAR process.
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Viguri, Sofía, Sandra López Tovar, Mariel Juárez Olvera, and Gloria Visconti. Analysis of External Climate Finance Access and Implementation: CIF, FCPF, GCF and GEF Projects and Programs by the Inter-American Development Bank. Inter-American Development Bank, January 2021. http://dx.doi.org/10.18235/0003008.

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In response to the Paris Agreement and the Sustainable Development Goals (SDGs), the IDB Group Board of Governors endorsed the target of increasing climate-related financing in Latin America and the Caribbean (LAC) from 15% in 2015 to 30% of the IDB Groups combined total approvals by 2020. Currently, the IDB Group is on track to meet this commitment, as in 2018, it financed nearly US$5 billion in climate-change-related activities benefiting LAC, which accounted for 27% of total IDB Groups annual approvals. In 2019, the overall volume and proportion of climate finance in new IDBG approvals have increased to 29%. As the IDB continues to strive towards this goal by using its funds to ramp-up climate action, it also acknowledges that tackling climate change is an objective shared with the rest of the international community. For the past ten years, strategic partnerships have been forged with external sources of finance that are also looking to invest in low-carbon and climate-resilient development. Doing this has contributed to the Banks objective of mobilizing additional resources for climate action while also strengthening its position as a leading partner to accelerate climate innovation in many fields. From climate-smart technologies and resilient infrastructure to institutional reform and financial mechanisms, IDB's use of external sources of finance is helping countries in LAC advance toward meeting their international climate change commitments. This report collects a series of insights and lessons learned by the IDB in the preparation and implementation of projects with climate finance from four external sources: the Climate Investment Funds (CIF), the Forest Carbon Partnership Facility (FCPF), the Green Climate Fund (GCF) and the Global Environment Facility (GEF). It includes a systematic revision of their design and their progress on delivery, an assessment of broader impacts (scale-up, replication, and contributions to transformational change/paradigm shift), and a set of recommendations to optimize the access and use of these funds in future rounds of climate investment. The insights and lessons learned collected in this publication can inform the design of short and medium-term actions that support “green recovery” through the mobilization of investments that promote decarbonization.
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S. Abdellatif, Omar, and Ali Behbehani. 2019: ICJ Judgments Jadhav (India V. Pakistan) Final Compliance Report. UN Compliance Research Group, January 2021. http://dx.doi.org/10.52008/inpk0501.

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The 2019: ICJ Judgments Jadhav (India V. Pakistan) Final Compliance Report is prepared by the UN Compliance Research Group. The report analyzes compliance by the Islamic Republic of Pakistan and the Republic of India with the ICJ verdicts on the Jadhav case issued on 17 July 2019. The report covers relevant actions taken by the two states between 17 July 2019 to 10 July 2020.
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Channels, Jr, and Alfred C. Harmony of Action - Sherman as an Army Group Commander. Fort Belvoir, VA: Defense Technical Information Center, January 1992. http://dx.doi.org/10.21236/ada252324.

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Peters, Joan. Action-oriented group therapy for lower-socio-economic-status clients. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.1459.

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Fazekas, Andreas, and Scarleth Nuñez Castillo. NDC Invest Annual Overview 2020. Inter-American Development Bank, July 2021. http://dx.doi.org/10.18235/0003430.

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NDC INVEST is an IDB Group platform offering financial solutions and technical support to help build national goals and transform them into attainable plans that generate prosperous, resilient, and carbon neutral economies. Throughout the years closely supporting LAC countries, NDC INVEST has gained valuable experience and knowledge in designing and implementing concrete actions that lead to long-term climate resilience and net-zero emissions by 2050. In 2020, NDC INVEST confirmed its key role in successfully translating national climate commitments into physical and beneficial economic plans and transformational development projects. 331 initiatives have been supported in IDB Group regional member states through the IDB sovereign window, IDB Invest and IDB Lab. This publication highlights the successful work of NDC Invest in i.) developing relevant knowledge and building national capacities for long-term strategies (LTS), ii.) supporting countries in creating ambitious climate goals and NDCs, and iii.) implementing LTS and NDCs through financial strategies and investment plans.
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