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Academic literature on the topic 'Symmetry groups – Asymptotic theory'

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Published: 4 June 2021

Last updated: 14 February 2022

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Journal articles on the topic "Symmetry groups – Asymptotic theory"

GIULINI, DOMENICO. "ASYMPTOTIC SYMMETRY GROUPS OF LONG-RANGED GAUGE CONFIGURATIONS." Modern Physics Letters A 10, no. 28 (1995): 2059–70. http://dx.doi.org/10.1142/s0217732395002210.

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We make some general remarks on long-ranged configurations in gauge or diffeomorphism invariant theories where the fields are allowed to assume some nonvanishing values at spatial infinity. In this case the Gauss constraint only eliminates those gauge degrees of freedom which lie in the connected component of asymptotically trivial gauge transformations. This implies that proper physical symmetries arise either from gauge transformations that reach to infinity or those that are asymptotically trivial but do not lie in the connected component of transformations within that class. The latter tra

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Boyer, Robert. "Character theory of infinite wreath products." International Journal of Mathematics and Mathematical Sciences 2005, no. 9 (2005): 1365–79. http://dx.doi.org/10.1155/ijmms.2005.1365.

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The representation theory of infinite wreath product groups is developed by means of the relationship between their group algebras and conjugacy classes with those of the infinite symmetric group. Further, since these groups are inductive limits of finite groups, their finite characters can be classified as limits of normalized irreducible characters of prelimit finite groups. This identification is called the “asymptotic character formula.” TheK0-invariant of the groupC∗-algebra is also determined.

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Antoniadis, Ignatios, and Spiros Cotsakis. "Geodesic Incompleteness and Partially Covariant Gravity." Universe 7, no. 5 (2021): 126. http://dx.doi.org/10.3390/universe7050126.

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We study the issue of length renormalization in the context of fully covariant gravity theories as well as non-relativistic ones such as Hořava–Lifshitz gravity. The difference in their symmetry groups implies a relation among the lengths of paths in spacetime in the two types of theory. Provided that certain asymptotic conditions hold, this relation allows us to transfer analytic criteria for the standard spacetime length to be finite and the Perelman length to be likewise finite, and therefore formulate conditions for geodesic incompleteness in partially covariant theories. We also discuss i

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Baranov, A. A., A. S. Kleshchev, and A. E. Zalesskii. "Asymptotic Results on Modular Representations of Symmetric Groups and Almost Simple Modular Group Algebras." Journal of Algebra 219, no. 2 (1999): 506–30. http://dx.doi.org/10.1006/jabr.1999.7923.

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Koren, Zvi, and Igor Ravve. "Fourth-order normal moveout velocity in elastic layered orthorhombic media — Part 2: Offset-azimuth domain." GEOPHYSICS 82, no. 3 (2017): C113—C132. http://dx.doi.org/10.1190/geo2016-0222.1.

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Based on the theory derived in part 1, in which we obtained the azimuthally dependent fourth-order normal-moveout (NMO) velocity functions for layered orthorhombic media in the slowness-azimuth/slowness and the slowness-azimuth/offset domains, in part 2, we extend the theory to the offset-azimuth/slowness and offset-azimuth/offset domains. We reemphasize that this paper does not suggest a new nonhyperbolic traveltime approximation; rather, it provides exact expressions of the NMO series coefficients, computed for normal-incidence rays, which can then be further used within known azimuthally de

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SEKIGUCHI, HIDEKO. "BRANCHING RULES OF SINGULAR UNITARY REPRESENTATIONS WITH RESPECT TO SYMMETRIC PAIRS (A2n-1, Dn)." International Journal of Mathematics 24, no. 04 (2013): 1350011. http://dx.doi.org/10.1142/s0129167x13500110.

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The irreducible decomposition of scalar holomorphic discrete series representations when restricted to semisimple symmetric pairs (G, H) is explicitly known by Schmid [Die Randwerte holomorphe funktionen auf hermetisch symmetrischen Raumen, Invent. Math.9 (1969–1970) 61–80] for H compact and by Kobayashi [Multiplicity-Free Theorems of the Restrictions of Unitary Highest Weight Modules with Respect to Reductive Symmetric Pairs, Progress in Mathematics, Vol. 255 (Birhäuser, 2007), pp. 45–109] for H non-compact. In this paper, we deal with the symmetric pair (U(n, n), SO* (2n)), and extend the Ko

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Bauer, Thomas, Sandra Di Rocco, Brian Harbourne, Jack Huizenga, Alexandra Seceleanu, and Tomasz Szemberg. "Negative Curves on Symmetric Blowups of the Projective Plane, Resurgences, and Waldschmidt Constants." International Mathematics Research Notices 2019, no. 24 (2018): 7459–514. http://dx.doi.org/10.1093/imrn/rnx329.

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Abstract The Klein and Wiman configurations are highly symmetric configurations of lines in the projective plane arising from complex reflection groups. One noteworthy property of these configurations is that all the singularities of the configuration have multiplicity at least 3. In this paper we study the surface X obtained by blowing up $\mathbb{P}^{2}$ in the singular points of one of these line configurations. We study invariant curves on X in detail, with a particular emphasis on curves of negative self-intersection. We use the representation theory of the stabilizers of the singular poi

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Bary-Soroker, Lior, and Tomer M. Schlank. "SIEVES AND THE MINIMAL RAMIFICATION PROBLEM." Journal of the Institute of Mathematics of Jussieu 19, no. 3 (2018): 919–45. http://dx.doi.org/10.1017/s1474748018000257.

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The minimal ramification problem may be considered as a quantitative version of the inverse Galois problem. For a nontrivial finite group $G$, let $m(G)$ be the minimal integer $m$ for which there exists a $G$-Galois extension $N/\mathbb{Q}$ that is ramified at exactly $m$ primes (including the infinite one). So, the problem is to compute or to bound $m(G)$.In this paper, we bound the ramification of extensions $N/\mathbb{Q}$ obtained as a specialization of a branched covering $\unicode[STIX]{x1D719}:C\rightarrow \mathbb{P}_{\mathbb{Q}}^{1}$. This leads to novel upper bounds on $m(G)$, for fin

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McCarthy, Patrick J. "Geometry of generalised asymptotic symmetry groups or asymptotic symmetries, product bundles and wreath products." Physics Letters A 174, no. 1-2 (1993): 25–28. http://dx.doi.org/10.1016/0375-9601(93)90536-9.

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Iwasa, Masatomo. "Derivation of Asymptotic Dynamical Systems with Partial Lie Symmetry Groups." Journal of Applied Mathematics 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/601657.

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Lie group analysis has been applied to singular perturbation problems in both ordinary differential and difference equations and has allowed us to find the reduced dynamics describing the asymptotic behavior of the dynamical system. The present study provides an extended method that is also applicable to partial differential equations. The main characteristic of the extended method is the restriction of the manifold by some constraint equations on which we search for a Lie symmetry group. This extension makes it possible to find a partial Lie symmetry group, which leads to a reduced dynamics d

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Dissertations / Theses on the topic "Symmetry groups – Asymptotic theory"

Cassart, Delphine. "Optimal tests for symmetry." Doctoral thesis, Universite Libre de Bruxelles, 2007. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210693.

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Dans ce travail, nous proposons des procédures de test paramétriques et nonparamétrique localement et asymptotiquement optimales au sens de Hajek et Le Cam, pour trois modèles d'asymétrie. La construction de modèles d'asymétrie est un sujet de recherche qui a connu un grand développement ces dernières années, et l'obtention des tests optimaux (pour trois modèles différents) est une étape essentielle en vue de leur mise en application. Notre approche est fondée sur la théorie de Le Cam d'une part, pour obtenir les propriétés de normalité asymptotique, bases de la construction des tests pa

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Lancien, Cécilia. "High dimension and symmetries in quantum information theory." Thesis, Lyon, 2016. http://www.theses.fr/2016LYSE1077/document.

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S'il fallait résumer le sujet de cette thèse en une expression, cela pourrait être quelque chose comme: phénomènes de grande dimension (mais néanmoins finie) en théorie quantique de l'information. Cela étant dit, essayons toutefois de développer brièvement. La physique quantique a inéluctablement affaire à des objets de grande dimension. Partant de cette observation, il y a, en gros, deux stratégies qui peuvent être adoptées: ou bien essayer de ramener leur étude à celle de situations de plus petite dimension, ou bien essayer de comprendre quels sont les comportements universels précisément su

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Ruzziconi, Romain. "On the Various Extensions of the BMS Group." Doctoral thesis, Universite Libre de Bruxelles, 2020. https://dipot.ulb.ac.be/dspace/bitstream/2013/307600/4/Contents.pdf.

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The Bondi-Metzner-Sachs-van der Burg (BMS) group is the asymptotic symmetry group of radiating asymptotically flat spacetimes. It has recently received renewed interest in the context of the flat holography and the infrared structure of gravity. In this thesis, we investigate the consequences of considering extensions of the BMS group in four dimensions with superrotations. In particular, we apply the covariant phase space methods on a class of first order gauge theories that includes the Cartan formulation of general relativity and specify this analysis to gravity in asymptotically flat space

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Potanka, Karen Sue. "Groups, Graphs, and Symmetry-Breaking." Thesis, Virginia Tech, 1998. http://hdl.handle.net/10919/36630.

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A labeling of a graph G is said to be r-distinguishing if no automorphism of G preserves all of the vertex labels. The smallest such number r for which there is an r-distinguishing labeling on G is called the distinguishing number of G. The distinguishing set of a group Gamma, D(Gamma), is the set of distinguishing numbers of graphs G in which Aut(G) = Gamma. It is shown that D(Gamma) is non-empty for any finite group Gamma. In particular, D(Dn) is found where Dn is the dihedral group with 2n elements. From there, the generalized Petersen graphs, GP(n,k), are defined

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Riley, Timothy Rupert. "Asymptotic invariants of infinite discrete groups." Thesis, University of Oxford, 2002. http://ora.ox.ac.uk/objects/uuid:30f42f4c-e592-44c2-9954-7d9e8c1f3d13.

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Asymptotic cones. A finitely generated group has a word metric, which one can scale and thereby view the group from increasingly distant vantage points. The group coalesces to an "asymptotic cone" in the limit (this is made precise using techniques of non-standard analysis). The reward is that in place of the discrete group one has a continuous object "that is amenable to attack by geometric (e.g. topological, infinitesimal) machinery" (to quote Gromov). We give coarse geometric conditions for a metric space X to have N-connected asymptotic cones. These conditions are expressed in terms

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George, Timothy Edward. "Symmetric representation of elements of finite groups." CSUSB ScholarWorks, 2006. https://scholarworks.lib.csusb.edu/etd-project/3105.

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The purpose of the thesis is to give an alternative and more efficient method for working with finite groups by constructing finite groups as homomorphic images of progenitors. The method introduced can be applied to all finite groups that possess symmetric generating sets of involutions. Such groups include all finite non-abelian simple groups, which can then be constructed by the technique of manual double coset enumeration.

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Cook, Joseph. "Properties of eigenvalues on Riemann surfaces with large symmetry groups." Thesis, Loughborough University, 2018. https://dspace.lboro.ac.uk/2134/36294.

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On compact Riemann surfaces, the Laplacian $\Delta$ has a discrete, non-negative spectrum of eigenvalues $\{\lambda_{i}\}$ of finite multiplicity. The spectrum is intrinsically linked to the geometry of the surface. In this work, we consider surfaces of constant negative curvature with a large symmetry group. It is not possible to explicitly calculate the eigenvalues for surfaces in this class, so we combine group theoretic and analytical methods to derive results about the spectrum. In particular, we focus on the Bolza surface and the Klein quartic. These have the highest order symmetry group

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馮淑貞 and Suk-ching Fung. "Asymptotic vanishing theorem of cohomology groups on compact quotientsof the unit ball." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B31220848.

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Fung, Suk-ching. "Asymptotic vanishing theorem of cohomology groups on compact quotients of the unit ball /." Hong Kong : University of Hong Kong, 1998. http://sunzi.lib.hku.hk/hkuto/record.jsp?B20667991.

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Berry, Robert D. "A New Approach to Lie Symmetry Groups of Minimal Surfaces." BYU ScholarsArchive, 2004. https://scholarsarchive.byu.edu/etd/321.

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The Lie symmetry groups of minimal surfaces by way of planar harmonic functions are determined. It is shown that a symmetry group acting on the minimal surfaces is isomorphic with H × H^2 — the analytic functions and the harmonic functions. A subgroup of this gives a generalization of the associated family which is examined.

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Books on the topic "Symmetry groups – Asymptotic theory"

Asymptotic representation theory of the symmetric group and its applications in analysis. American Mathematical Society, 2003.

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A, Mitropolʹskiĭ I͡U. Nonlinear mechanics, groups and symmetry. Kluwer Academic Publishers, 1995.

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Mitropol'skiĭ, Yuriĭ Alekseevich. Nonlinear mechanics, groups and symmetry. Kluwer Academic Publishers, 1995.

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Groups and symmetry. Springer-Verlag, 1988.

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Mitropolsky, Yu A. Nonlinear Mechanics, Groups and Symmetry. Springer Netherlands, 1995.

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1946-, Wreszinski Walter F., ed. Asymptotic time decay in quantum physics. World Scientific, 2013.

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Field, Mike. Symmetry breaking for compact Lie groups. American Mathematical Society, 1996.

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Group theory in physics. World Scientific, 1985.

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Zhao, Xuezhuang. Molecular symmetry and fuzzy symmetry. Nova Science Publishers, 2011.

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Fabio, Scarabotti, and Tolli Filippo 1968-, eds. Representation theory of the symmetric groups: The Okounkov-Vershik approach, character formulas, and partition algebras. Cambridge University Press, 2010.

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Book chapters on the topic "Symmetry groups – Asymptotic theory"

Méliot, Pierre-Loïc. "Asymptotics of central measures." In Representation Theory of Symmetric Groups. Chapman and Hall/CRC, 2017. http://dx.doi.org/10.1201/9781315371016-16.

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Méliot, Pierre-Loïc. "Asymptotics of Plancherel and Schur–Weyl measures." In Representation Theory of Symmetric Groups. Chapman and Hall/CRC, 2017. http://dx.doi.org/10.1201/9781315371016-17.

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Mitropolsky, Yu A., and A. K. Lopatin. "Asymptotic Decomposition of Pfaffian Systems with a Small Parameter." In Nonlinear Mechanics, Groups and Symmetry. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8535-4_8.

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Mitropolsky, Yu A., and A. K. Lopatin. "Asymptotic Decomposition of Differential Systems where Zero Approximation has Special Properties." In Nonlinear Mechanics, Groups and Symmetry. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8535-4_7.

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Luchinin, Sergey, and Svetlana Puzynina. "Symmetry Groups of Infinite Words." In Developments in Language Theory. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81508-0_22.

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Mitropolsky, Yu A., and A. K. Lopatin. "Asymptotic decomposition of systems of ordinary differential equations with a small parameter." In Nonlinear Mechanics, Groups and Symmetry. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8535-4_4.

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McClain, William Martin. "Product groups." In Symmetry Theory in Molecular Physics with Mathematica. Springer New York, 2009. http://dx.doi.org/10.1007/b13137_16.

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McClain, William Martin. "Visualizing groups." In Symmetry Theory in Molecular Physics with Mathematica. Springer New York, 2009. http://dx.doi.org/10.1007/b13137_19.

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Holevo, Alexander. "Symmetry groups in quantum mechanics." In Probabilistic and Statistical Aspects of Quantum Theory. Edizioni della Normale, 2011. http://dx.doi.org/10.1007/978-88-7642-378-9_3.

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Sagnotti, Augusto. "Open Strings and their Symmetry Groups." In Nonperturbative Quantum Field Theory. Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-0729-7_23.

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Conference papers on the topic "Symmetry groups – Asymptotic theory"

"COMPUTATIONAL SYMMETRY VIA PROTOTYPE DISTANCES FOR SYMMETRY GROUPS CLASSIFICATION." In International Conference on Computer Vision Theory and Applications. SciTePress - Science and and Technology Publications, 2011. http://dx.doi.org/10.5220/0003375300850093.

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Suresh, Krishnan. "Automated Symmetry Exploitation in Engineering Analysis." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57096.

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It is well known that one can exploit symmetry to speed-up engineering analysis and improve accuracy, at the same time. Not surprisingly, most CAE systems have standard ‘provisions’ for exploiting symmetry. However, these provisions are inadequate in that they needlessly burden the design engineer with time consuming and error-prone tasks of symmetry detection, symmetry cell construction and reformulation. In this paper, we propose and discuss an automated methodology for symmetry exploitation. First, we briefly review the theory of point symmetry groups that symmetry exploitation rests on. We

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Barrionuevo, Manoel V. F., Yuri Dezotti, Rafael Añez, Wdeson Pereira Barros, and Miguel A. San-Miguel. "Structural, Electronic, Magnetic and Adsorption Study of a Cu–3,4–Hpvb MOF." In VIII Simpósio de Estrutura Eletrônica e Dinâmica Molecular. Universidade de Brasília, 2020. http://dx.doi.org/10.21826/viiiseedmol202034.

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Herein, we present a theoretical study of a proposed metal-organic framework (MOF) based on Cu complexes of 3{2-(4-pyridinyl)vinylbenzoic} acid (3,4–Hpvb), which belongs to a monoclinic crystal symmetry system of type P121/c1. By using periodic boundary conditions (PBC) within the density functional theory (DFT) framework, as well as through the density of states (DOS) analysis, we suggest that thanks to the metal center, the bulk material has a magnetic character of about 2.27 μB/cell. All the coordinated atoms presented a slight magnetization character, and more interestingly, the carboxylic

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