Academic literature on the topic 'Rational lattice on the torus'

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Journal articles on the topic "Rational lattice on the torus"

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Kouptsov, K. L., J. H. Lowenstein, and F. Vivaldi. "Quadratic rational rotations of the torus and dual lattice maps." Nonlinearity 15, no. 6 (September 16, 2002): 1795–842. http://dx.doi.org/10.1088/0951-7715/15/6/306.

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NAZIR, SHAHEEN. "ON THE INTERSECTION OF RATIONAL TRANSVERSAL SUBTORI." Journal of the Australian Mathematical Society 86, no. 2 (April 2009): 221–31. http://dx.doi.org/10.1017/s1446788708000372.

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AbstractWe show that under a suitable transversality condition, the intersection of two rational subtori in an algebraic torus (ℂ*)n is a finite group which can be determined using the torsion part of some associated lattice. We also give applications to the study of characteristic varieties of smooth complex algebraic varieties. As an example we discuss A. Suciu’s line arrangement, the so-called deleted B3-arrangement.
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Scavia, Federico. "Retract Rationality and Algebraic Tori." Canadian Mathematical Bulletin 63, no. 1 (July 18, 2019): 173–86. http://dx.doi.org/10.4153/s0008439519000079.

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AbstractFor any prime number $p$ and field $k$, we characterize the $p$-retract rationality of an algebraic $k$-torus in terms of its character lattice. We show that a $k$-torus is retract rational if and only if it is $p$-retract rational for every prime $p$, and that the Noether problem for retract rationality for a group of multiplicative type $G$ has an affirmative answer for $G$ if and only if the Noether problem for $p$-retract rationality for $G$ has a positive answer for all $p$. For every finite set of primes $S$ we give examples of tori that are $p$-retract rational if and only if $p\notin S$.
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CHAIR, NOUREDDINE. "AN EXPLICIT COMPUTATION FOR THE BOSE-FERMI EQUIVALENCE ON RIEMANN SURFACES OF GENUS g." International Journal of Modern Physics A 04, no. 17 (October 20, 1989): 4437–47. http://dx.doi.org/10.1142/s0217751x89001850.

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The instanton sum in the partition function for D bosons on a Riemann surface of genus g, with values in a general D-dimensional torus, TD = RD/ΛD is given explicitly. When the rational metric Q of the lattice, ΛD, is the identity we get the bosonization formula of Alvarez-Gaumé et al. for SO( 2D ). If Q is orthogonal, in the bosonization formula, we get the theta function associated with the quadratic form Q, if Q is generic we get rational Conformal Field Theory. Also we look for conditions on a twisted spin bundle LE, which may ensure that our partition functions arise from some generalized bosonization formulas.
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Opdam, Eric M. "ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS." Journal of the Institute of Mathematics of Jussieu 3, no. 4 (September 8, 2004): 531–648. http://dx.doi.org/10.1017/s1474748004000155.

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An affine Hecke algebra $\mathcal{H}$ contains a large abelian subalgebra $\mathcal{A}$ spanned by the Bernstein–Zelevinski–Lusztig basis elements $\theta_x$, where $x$ runs over (an extension of) the root lattice. The centre $\mathcal{Z}$ of $\mathcal{H}$ is the subalgebra of Weyl group invariant elements in $\mathcal{A}$. The natural trace (‘evaluation at the identity’) of the affine Hecke algebra can be written as integral of a certain rational $n$-form (with values in the linear dual of $\mathcal{H}$) over a cycle in the algebraic torus $T=\textrm{Spec}(\mathcal{A})$. This cycle is homologous to a union of ‘local cycles’. We show that this gives rise to a decomposition of the trace as an integral of positive local traces against an explicit probability measure on the spectrum $W_0\setminus T$ of $\mathcal{Z}$. From this result we derive the Plancherel formula of the affine Hecke algebra.AMS 2000 Mathematics subject classification: Primary 20C08; 22D25; 22E35; 43A32
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DIVAKARAN, P. P., and A. K. RAJAGOPAL. "QUANTUM THEORY OF LANDAU AND PEIERLS ELECTRONS FROM THE CENTRAL EXTENSIONS OF THEIR SYMMETRY GROUPS." International Journal of Modern Physics B 09, no. 03 (January 30, 1995): 261–94. http://dx.doi.org/10.1142/s0217979295000136.

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By Wigner’s theorem on symmetries, the total state space of a quantum system whose symmetries form the group G is the collection of all projective unitary representations of G; these are, in turn, realised as certain unitary representations of the set of all central extensions of G by U(1). Exploiting this relationship, we present in this paper a new approach to the quantum mechanics of an electron in a uniform magnetic field B, in the plane (the Landau electron) and on the 2-torus in the presence of a periodic potential V whose periodicity is that of an N×N lattice (the Peierls electron). For the Landau electron, G is the Euclidean group E(2) whose central extensions arise from the Heisenberg Lie group central extensions, determined by B, of the translation subgroup. The state space is a unitary representation of the direct product of two such groups corresponding to B and -B and the Hamiltonian is a unique element of the universal enveloping algebra of the centrally-extended E(2). The complete quantum theory of the Landau electron follows directly. For the Peierls electron, lattice translation-invariance is possible only if the flux per unit cell Φ takes rational values with denominator N. The state space is a unitary representation of the direct product of a finite Heisenberg group, which is a central extension of the translation group, and a Heisenberg Lie group, both characterised by Φ. The following new results are rigorous consequences. In the empty lattice limit V=0, the energy spectrum is the Landau spectrum with degeneracy equal to the total flux through the sample. As V moves away from zero, every Landau level splits into NΦ discrete sublevels, each of degeneracy N. More generally, for V≠0 of any strength and (periodic) form, and B such that Φ is nonintegral, every point in the spectrum has multiplicity N. The degeneracy is thus proportional to the linear size rather than the area of the sample. Throughout the paper, vector potentials and gauges are dispensed with and many misconceptions thereby removed.
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Muñoz, Vicente. "Torus rational fibrations." Journal of Pure and Applied Algebra 140, no. 3 (August 1999): 251–59. http://dx.doi.org/10.1016/s0022-4049(98)00004-8.

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Galaz-García, Fernando, Martin Kerin, Marco Radeschi, and Michael Wiemeler. "Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity." International Mathematics Research Notices 2018, no. 18 (March 24, 2017): 5786–822. http://dx.doi.org/10.1093/imrn/rnx064.

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LIENDO, ALVARO, and CHARLIE PETITJEAN. "UNIFORMLY RATIONAL VARIETIES WITH TORUS ACTION." Transformation Groups 24, no. 1 (November 4, 2017): 149–53. http://dx.doi.org/10.1007/s00031-017-9451-8.

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Gorsky, Eugene, Alexei Oblomkov, Jacob Rasmussen, and Vivek Shende. "Torus knots and the rational DAHA." Duke Mathematical Journal 163, no. 14 (November 2014): 2709–94. http://dx.doi.org/10.1215/00127094-2827126.

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Dissertations / Theses on the topic "Rational lattice on the torus"

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Tolmie, Julie, and julie tolmie@techbc ca. "Visualisation, navigation and mathematical perception: a visual notation for rational numbers mod1." The Australian National University. School of Mathematical Sciences, 2000. http://thesis.anu.edu.au./public/adt-ANU20020313.101505.

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There are three main results in this dissertation. The first result is the construction of an abstract visual space for rational numbers mod1, based on the visual primitives, colour, and rational radial direction. Mathematics is performed in this visual notation by defining increasingly refined visual objects from these primitives. In particular, the existence of the Farey tree enumeration of rational numbers mod1 is identified in the texture of a two-dimensional animation. ¶ The second result is a new enumeration of the rational numbers mod1, obtained, and expressed, in abstract visual space, as the visual object coset waves of coset fans on the torus. Its geometry is shown to encode a countably infinite tree structure, whose branches are cosets, nZ+m, where n, m (and k) are integers. These cosets are in geometrical 1-1 correspondence with sequences kn+m, (of denominators) of rational numbers, and with visual subobjects of the torus called coset fans. ¶ The third result is an enumeration in time of the visual hierarchy of the discrete buds of the Mandelbrot boundary by coset waves of coset fans. It is constructed by embedding the circular Farey tree geometrically into the empty internal region of the Mandelbrot set. In particular, coset fans attached to points of the (internal) binary tree index countably infinite sequences of buds on the (external) Mandelbrot boundary.
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Ilten, Nathan Owen [Verfasser]. "Deformations of rational varieties with codimension-one torus action / Nathan Owen Ilten." Berlin : Freie Universität Berlin, 2010. http://d-nb.info/1024784762/34.

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Rimmasch, Gretchen. "Lattices and Their Applications to Rational Elliptic Surfaces." BYU ScholarsArchive, 2004. https://scholarsarchive.byu.edu/etd/18.

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This thesis discusses some of the invariants of rational elliptic surfaces, namely the Mordell-Weil Group, Mordell-Weil Lattice, and another lattice which will be called the Shioda Lattice. It will begin with a brief overview of rational elliptic surfaces, followed by a discussion of lattices, root systems and Dynkin diagrams. Known results of several authors will then be applied to determine the groups and lattices associated with a given rational elliptic surface, along with a discussion of the uses of these groups and lattices in classifying surfaces.
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Kerby, Brent L. "Rational Schur Rings over Abelian Groups." BYU ScholarsArchive, 2008. https://scholarsarchive.byu.edu/etd/1491.

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In 1993, Muzychuk showed that the rational S-rings over a cyclic group Z_n are in one-to-one correspondence with sublattices of the divisor lattice of n, or equivalently, with sublattices of the lattice of subgroups of Z_n. This idea is easily extended to show that for any finite group G, sublattices of the lattice of characteristic subgroups of G give rise to rational S-rings over G in a natural way. Our main result is that any finite group may be represented as the automorphism group of such a rational S-ring over an abelian p-group. In order to show this, we first give a complete description of the automorphism classes and characteristic subgroups of finite abelian groups. We show that for a large class of abelian groups, including all those of odd order, the lattice of characteristic subgroups is distributive. We also prove a converse to the well-known result of Muzychuk that two S-rings over a cyclic group are isomorphic if and only if they coincide; namely, we show that over a group which is not cyclic, there always exist distinct isomorphic S-rings. Finally, we show that the automorphism group of any S-ring over a cyclic group is abelian.
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Turner, Charlotte L. "Lattice methods for finding rational points on varieties over number fields." Thesis, University of Warwick, 2013. http://wrap.warwick.ac.uk/59861/.

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We develop a method for finding all rational points of bounded height on a variety defined over a number field K. Given a projective variety V we find a prime p of good reduction for V with certain properties and find all points on the reduced curve V (Fp). For each point P 2 V (Fp) we may define lattices of lifts of P: these lattices contain all points which are congruent to P mod p satisfying the defining polynomials of V modulo a power of p. Short vectors in these lattices are possible representatives for points of bounded height on the original variety V (K). We make explicit the relationship between the length of a vector and the height of a point in this setting. We will discuss methods for finding points in these lattices and how they may be used to find points of V (K), including a method involving lattice reduction over number fields. The method is implemented in Sage and examples are included in this thesis.
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Wei, Amanda Xin. "Design, Analysis, and Application of Architected Ferroelectric Lattice Materials." Thesis, Virginia Tech, 2019. http://hdl.handle.net/10919/101099.

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Ferroelectric materials have been an area of keen interest for researchers due to their useful electro-mechanical coupling properties for a range of modern applications, such as sensing, precision actuation, or energy harvesting. The distribution of the piezoelectric coefficients, which corresponds to the piezoelectric properties, in traditional crystalline ferroelectric materials are determined by their inherent crystalline structure. This restriction limits the tunability of their piezoelectric properties. In the present work, ferroelectric lattice materials capable of a wide range of rationally designed piezoelectric coefficients are achieved through lattice micro-architecture design. The piezoelectric coefficients of several lattice designs are analyzed and predicted using an analytical volume-averaging approach. Finite element models were used to verify the analytical predictions and strong agreement between the two sets of results were found. Select lattice designs were additively manufactured using projection microstereolithography from a PZT-polymer composite and their piezoelectric coefficients experimentally verified and also found to be in agreement with the analytical and numerical predictions. The results show that the use of lattice micro-architecture successfully decouples the dependency of the piezoelectric properties on the material's crystalline structure, giving the user a means to tune the piezoelectric properties of the lattice materials. Real-world application of a ferroelectric lattice structure is demonstrated through application as a multi-directional stress sensor.
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Melczer, Stephen. "Analytic Combinatorics in Several Variables : Effective Asymptotics and Lattice Path Enumeration." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSEN013/document.

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La combinatoire analytique étudie le comportement asymptotique des suites à travers les propriétés analytiques de leurs fonctions génératrices. Ce domaine a conduit au développement d’outils profonds et puissants avec de nombreuses applications. Au delà de la théorie univariée désormais classique, des travaux récents en combinatoire analytique en plusieurs variables (ACSV) ont montré comment calculer le comportement asymptotique d’une grande classe de fonctions différentiellement finies:les diagonales de fractions rationnelles. Cette thèse examine les méthodes de l’ACSV du point de vue du calcul formel, développe des algorithmes rigoureux et donne les premiers résultats de complexité dans ce domaine sous des hypothèses très faibles. En outre, cette thèse donne plusieurs nouvelles applications de l’ACSV à l’énumération des marches sur des réseaux restreintes à certaines régions: elle apporte la preuve de plusieurs conjectures ouvertes sur les comportements asymptotiques de telles marches,et une étude détaillée de modèles de marche sur des réseaux avec des étapes pondérées
The field of analytic combinatorics, which studies the asymptotic behaviour ofsequences through analytic properties of their generating functions, has led to thedevelopment of deep and powerful tools with applications across mathematics and thenatural sciences. In addition to the now classical univariate theory, recent work in thestudy of analytic combinatorics in several variables (ACSV) has shown how to deriveasymptotics for the coefficients of certain D-finite functions represented by diagonals ofmultivariate rational functions. This thesis examines the methods of ACSV from acomputer algebra viewpoint, developing rigorous algorithms and giving the firstcomplexity results in this area under conditions which are broadly satisfied.Furthermore, this thesis gives several new applications of ACSV to the enumeration oflattice walks restricted to certain regions. In addition to proving several openconjectures on the asymptotics of such walks, a detailed study of lattice walk modelswith weighted steps is undertaken
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Petitjean, Charlie. "Actions hyperboliques du groupe multiplicatif sur des variétés affines : espaces exotiques et structures locales." Thesis, Dijon, 2015. http://www.theses.fr/2015DIJOS009/document.

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Cette thèse est consacré à l'étude des T-variétés affines à l'aide de la présentation due à Altmann et Hausen. On s'intéresse plus particulièrement au cas des actions hyperboliques du groupe multiplicatif Gm. Dans une première partie, on étudie les espaces affines exotiques, c'est-à-dire des variétés affines lisses et contractiles, en supposant de plus qu'elles sont munies d'une action de Gm. En particulier, dans le cas de dimension 3, on réinterprète la construction des variétésde Koras-Russell en terme de diviseurs polyédraux, et on donne des constructions de variétés affines lisses et contractiles en dimension supérieure à 3.Dans une deuxième partie, on introduit la propriété pour une G-variété d'être G-uniformément rationnelle, c'est-à-dire que tout point de cette variété admet un voisinage ouvert G-stable, qui est isomorphe de manière equivariante à un ouvert G-invariant de l'espace affine. En particulier, on exhibera des Gm-variétés qui sont lisses et rationnelles mais qui ne sont pas Gm-uniformément rationnelle
This thesis is devoted to the study of affine T-varieties using the Altmann-Hausen presentation. We are especially interested in the case of hyperbolic actions of the multiplicative group Gm. In the first part, exotic affine spaces are studied, that is, smooth contractible affine varieties, assuming in addition that they are endowed with a Gm-action. In particular, in the case of dimension 3, we reinterpret the construction of Koras-Russell threefolds in terms of polyhedral divisors andwe give constructions of smooth contractible affine varieties and in dimensionslarger than 3.In the second part we consider the property of G-uniform rationality for a G-variety. This means that every point of this variety there exists an open G-stable neighborhood, which is equivariantly somorphic to a G-stable open subset of the affine space. In particular we will exhibit Gm-varieties which are smooth and rational but not Gm-uniformly rational
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Lazzarini, Giovanni. "Sur la hauteur de tores plats." Thesis, Bordeaux, 2015. http://www.theses.fr/2015BORD0018/document.

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Nous considérons la fonction zêta d’Epstein des réseaux euclidiens pour étudier le problème des minima de la hauteur du tore plat associé à un réseau. La hauteur est définie comme la dérivée au point s = 0 de la fonction zêta spectrale du tore, fonction qui coïncide, à un facteur près, avec la fonction zêta d’Epstein du réseau dual du réseau donné. Nous donnons dans cette dissertation une condition suffisante pour qu’un réseau donné soit un point critique de la hauteur. En particulier, en utilisant la théorie des designs sphériques, nous montrons qu’un réseau qui a des 2-designs sphériques sur toutes ses couches est un point critique de la hauteur. Nous donnons un algorithme pour tester si un réseau donné satisfait cette condition de 2-designs, et nous donnons des tables de résultats en dimension jusqu’à 7. Ensuite, nous montrons qu’un réseau qui réalise un minimum local de la hauteur est nécessairement irréductible. Enfin, nous nous intéressons à certains tores définis sur les corps de nombres quadratiques imaginaires, et nous prouvons une formule qui donne leur hauteur comme limite d’une suite de hauteurs de tores complexes discrets
In this thesis we consider the Epstein zeta function of Euclidean lattices, in order to study the problem of the minima of the height of the flat torus associated to a lattice. The height is defined as the first derivative at the point s = 0 of the spectral zeta function of the torus ; this function coincides, up to a factor, with the Epstein zeta function of the dual lattice of the given lattice. We describe a sufficient condition for a given lattice to be a stationary point of the height. In particular, by means of the theory of spherical designs, we show that a lattice which has a spherical 2-design on every shell is a stationary point of the height. We give an algorithm to check whether a given lattice satisfies this 2-design condition or not, and we give some tables of results in dimension up to 7. Then, we show that a lattice which realises a local minimum of the height is necessarily irreducible. Finally, we deal with some tori defined over the imaginary quadratic number fields, and we show a formula which gives their height as a limit of a sequence of heights of discrete complex tori
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Rosenberger, Elke. "Asymptotic spectral analysis and tunnelling for a class of difference operators." Phd thesis, [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=98050368X.

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Books on the topic "Rational lattice on the torus"

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Saff, E. B., Douglas Patten Hardin, Brian Z. Simanek, and D. S. Lubinsky. Modern trends in constructive function theory: Conference in honor of Ed Saff's 70th birthday : constructive functions 2014, May 26-30, 2014, Vanderbilt University, Nashville, Tennessee. Providence, Rhode Island: American Mathematical Society, 2016.

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Book chapters on the topic "Rational lattice on the torus"

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Kontsevich, Maxim. "Enumeration of Rational Curves Via Torus Actions." In The Moduli Space of Curves, 335–68. Boston, MA: Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-4264-2_12.

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Zverev, N. V. "Overview of the Chiral Fermions on 2D Torus." In Lattice Fermions and Structure of the Vacuum, 163–71. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4124-6_15.

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Brockett, Roger W. "A Rational Flow for the Toda Lattice Equations." In Operators, Systems and Linear Algebra, 33–44. Wiesbaden: Vieweg+Teubner Verlag, 1997. http://dx.doi.org/10.1007/978-3-663-09823-2_4.

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Banderier, Cyril, and Michael Wallner. "The Kernel Method for Lattice Paths Below a Line of Rational Slope." In Lattice Path Combinatorics and Applications, 119–54. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-11102-1_7.

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Rinaldi, Antonio, and Sreten Mastilovic. "Two-Dimensional Discrete Damage Models: Lattice and Rational Models." In Handbook of Damage Mechanics, 305–37. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4614-5589-9_22.

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Rinaldi, Antonio, and Sreten Mastilovic. "Two-Dimensional Discrete Damage Models: Lattice and Rational Models." In Handbook of Damage Mechanics, 1215–47. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-60242-0_22.

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Liu, Weihua, and Andrew Klapper. "A Lattice Rational Approximation Algorithm for AFSRs Over Quadratic Integer Rings." In Sequences and Their Applications - SETA 2014, 200–211. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-12325-7_17.

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Elkies, Noam D. "Rational Points Near Curves and Small Nonzero | x 3 − y 2| via Lattice Reduction." In Lecture Notes in Computer Science, 33–63. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/10722028_2.

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Matsumoto, Takuya. "Screening Operators for the Lattice Vertex Operator Algebras of Type $$A_1$$ at Positive Rational Level." In Springer Proceedings in Mathematics & Statistics, 245–53. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2715-5_14.

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Yamauchi, Takahiro, Hiroaki Tezuka, and Yoshimichi Tsukamoto. "Development of Rational Soil Liquefaction Countermeasure Consisting of Lattice-Shaped Soil Improvement by Jet Grouting for Existing Housing Estates." In Geotechnical Hazards from Large Earthquakes and Heavy Rainfalls, 49–59. Tokyo: Springer Japan, 2016. http://dx.doi.org/10.1007/978-4-431-56205-4_5.

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Conference papers on the topic "Rational lattice on the torus"

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Pivanti, Marcello, F. Schifano, and Hubert Simma. "An FPGA-based Torus Communication Network." In The XXVIII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.105.0038.

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Neuberger, Herbert, and Rajamani Narayanan. "Phases of planar QCD on the torus." In XXIIIrd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2005. http://dx.doi.org/10.22323/1.020.0005.

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Nakamura, Yoshifumi. "Rational Domain-Decomposed HMC." In The XXVIII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.105.0033.

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Berg, Bernd A., Alexei Bazavov, and Hao Wu. "Deconfining phase transition on a double-layered torus." In The XXVII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.091.0164.

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Clark, Michael. "The Rational Hybrid Monte Carlo algorithm." In XXIVth International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2006. http://dx.doi.org/10.22323/1.032.0004.

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Dalton, Larry, Bruce Robinson, Alex Jen, Philip Ried, Bruce Eichinger, Philip Sullivan, Andrew Akelaitis, et al. "Acentric lattice electro-optic materials by rational design." In Optics & Photonics 2005, edited by Ravindra B. Lal and Donald O. Frazier. SPIE, 2005. http://dx.doi.org/10.1117/12.617232.

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Christ, Norman H., and Chulwoo Jung. "Computational Requirements of the Rational Hybrid Monte Carlo Algorithm." In The XXV International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2008. http://dx.doi.org/10.22323/1.042.0028.

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Binder, Franz. "Fast computations in the lattice of polynomial rational function fields." In the 1996 international symposium. New York, New York, USA: ACM Press, 1996. http://dx.doi.org/10.1145/236869.236895.

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Svec, Jan, and Pavel Ircing. "Efficient algorithm for rational kernel evaluation in large lattice sets." In ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2013. http://dx.doi.org/10.1109/icassp.2013.6638235.

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Singh, Simran, Petros Dimopoulos, Lorenzo Dini, Franceso Di Renzo, Jishnu Goswami, Guido Nicotra, Christian Schmidt, Kevin Zambello, and Felix Ziesché. "Lee-Yang edge singularities in lattice QCD : A systematic study of singularities in the complex 𝜇B plane using rational approximations." In The 38th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.396.0544.

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