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Author : Said Sidki
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.E/5 ( download)
Download or read book Regular Trees and Their Automorphisms written by Said Sidki and published by . This book was released on 1998 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matatyahu Rubin
Publisher : American Mathematical Soc.
ISBN 13 : 082185187X
Total Pages : 286 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Reconstruction of Trees from Their Automorphism Groups written by Matatyahu Rubin and published by American Mathematical Soc.. This book was released on 1993 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 0 An extended introduction (starting p. 1) -- 1 Some preliminaries concerning interpretations, groups and [actual symbol not reproducible]-categoricity (starting p. 29) -- 2 A new reconstruction theorem for Boolean algebras (starting p. 43) -- 3 The completion and the Boolean algebra of a U-tree (starting p. 57) -- 4 The statement of the canonization and reconstruction theorems (starting p. 63) -- 5 The canonization of trees (starting p. 73) -- 6 The reconstruction of the Boolean algebra of a U-tree (starting p. 87) -- 7 The reconstruction of PT(Exp(M)) (starting p. 135) -- 8 Final reconstruction results (starting p. 153) -- 9 Observations, examples and discussion (starting p. 155) -- 10 Augmented trees (starting p. 169) -- 11 The reconstruction of [actual symbol not reproducible]-categorical trees (starting p. 205) -- 12 Nonisomorphic 1-homogeneous chains which have isomorphic automorphism groups (starting p. 243) -- Bibliography (starting p. 251) -- A list of notations and definitions (starting p. 253)
Author : Michael D. Atkinson
Publisher : Cambridge University Press
ISBN 13 : 9780521788892
Total Pages : 290 pages
Book Rating : 4.7/5 (888 download)
Download or read book Computational and Geometric Aspects of Modern Algebra written by Michael D. Atkinson and published by Cambridge University Press. This book was released on 2000-06-15 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers from leading researchers in algebra and geometric group theory.
Author : Jan de Gier
Publisher : Springer
ISBN 13 : 3319722999
Total Pages : 667 pages
Book Rating : 4.3/5 (197 download)
Download or read book 2016 MATRIX Annals written by Jan de Gier and published by Springer. This book was released on 2018-04-10 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATRIX is Australia’s international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. This book is a scientific record of the five programs held at MATRIX in its first year, 2016: - Higher Structures in Geometry and Physics - Winter of Disconnectedness - Approximation and Optimisation - Refining C*-Algebraic Invariants for Dynamics using KK-theory - Interactions between Topological Recursion, Modularity, Quantum Invariants and Low- dimensional Topology The MATRIX Scientific Committee selected these programs based on their scientific excellence and the participation rate of high-profile international participants. Each program included ample unstructured time to encourage collaborative research; some of the longer programs also included an embedded conference or lecture series. The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on selected topics related to the MATRIX program; the remaining contributions are predominantly lecture notes based on talks or activities at MATRIX.
Author : Pavel Exner
Publisher : American Mathematical Soc.
ISBN 13 : 0821844717
Total Pages : 721 pages
Book Rating : 4.8/5 (218 download)
Download or read book Analysis on Graphs and Its Applications written by Pavel Exner and published by American Mathematical Soc.. This book was released on 2008 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wiresystems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks.This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.
Author : Samson Adepoju Adeleke
Publisher : American Mathematical Soc.
ISBN 13 : 0821806238
Total Pages : 141 pages
Book Rating : 4.8/5 (218 download)
Download or read book Relations Related to Betweenness: Their Structure and Automorphisms written by Samson Adepoju Adeleke and published by American Mathematical Soc.. This book was released on 1998 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is about tree-like structures, namely semilinear ordering, general betweenness relations, C-relations and D-relations. It contains a systematic study of betweenness and introduces C- and D- relations to describe the behaviour of points at infinity (leaves or ends or directions of trees). The focus is on structure theorems and on automorphism groups, with applications to the theory of infinite permutation groups.
Author : Yuri Bahturin
Publisher : Walter de Gruyter
ISBN 13 : 3110805693
Total Pages : 433 pages
Book Rating : 4.1/5 (18 download)
Download or read book Algebra written by Yuri Bahturin and published by Walter de Gruyter. This book was released on 2011-05-02 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author : Pierre-Emmanuel Caprace
Publisher : Cambridge University Press
ISBN 13 : 1108351948
Total Pages : 368 pages
Book Rating : 4.1/5 (83 download)
Download or read book New Directions in Locally Compact Groups written by Pierre-Emmanuel Caprace and published by Cambridge University Press. This book was released on 2018-02-08 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes introductory articles on totally disconnected locally compact groups, profinite groups, p-adic Lie groups and the metric geometry of locally compact groups. Concrete examples, including groups acting on trees and Neretin groups, are discussed in detail. An outline of the emerging structure theory of locally compact groups beyond the connected case is presented through three complementary approaches: Willis' theory of the scale function, global decompositions by means of subnormal series, and the local approach relying on the structure lattice. An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the Burger–Mozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions.
Author : Russell Lyons
Publisher : Cambridge University Press
ISBN 13 : 1316785335
Total Pages : 1023 pages
Book Rating : 4.3/5 (167 download)
Download or read book Probability on Trees and Networks written by Russell Lyons and published by Cambridge University Press. This book was released on 2017-01-20 with total page 1023 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike.
Author : Alex Mesoudi
Publisher : Springer
ISBN 13 : 4431553630
Total Pages : 174 pages
Book Rating : 4.4/5 (315 download)
Download or read book Learning Strategies and Cultural Evolution during the Palaeolithic written by Alex Mesoudi and published by Springer. This book was released on 2015-04-30 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is motivated by the desire to explain why Neanderthals were replaced by modern humans, in terms of cultural differences between the two (sub-) species. It provides up-to-date coverage on the theory of cultural evolution as is being used by anthropologists, archaeologists, biologists and psychologists to decipher hominin cultural change and diversity during the Palaeolithic. The contributing authors are directly involved in this effort and the material presented includes novel approaches and findings. Chapters explain how learning strategies in combination with social and demographic factors (e.g., population size and mobility patterns) predict cultural evolution in a world without the printing press, television or the Internet. Also addressed is the inverse problem of how learning strategies may be inferred from actual trajectories of cultural change, for example as seen in the North American Palaeolithic. Mathematics and statistics, a sometimes necessary part of theory, are explained in elementary terms where they appear, with details relegated to appendices. Full citations of the relevant literature will help the reader to further pursue any topic of interest.
Author : Hyman Bass
Publisher : American Mathematical Soc.
ISBN 13 : 0821810871
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebra, $K$-Theory, Groups, and Education written by Hyman Bass and published by American Mathematical Soc.. This book was released on 1999 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes expositions of key developments over the past four decades in commutative and non-commutative algebra, algebraic $K$-theory, infinite group theory, and applications of algebra to topology. Many of the articles are based on lectures given at a conference at Columbia University honoring the 65th birthday of Hyman Bass. Important topics related to Bass's mathematical interests are surveyed by leading experts in the field. Of particular note is a professional autobiography of Professor Bass, and an article by Deborah Ball on mathematical education. The range of subjects covered in the book offers a convenient single source for topics in the field.
Author : Pierre de la Harpe
Publisher : University of Chicago Press
ISBN 13 : 9780226317199
Total Pages : 320 pages
Book Rating : 4.3/5 (171 download)
Download or read book Topics in Geometric Group Theory written by Pierre de la Harpe and published by University of Chicago Press. This book was released on 2000-10-15 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples. The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields.
Author : M.A. Picardello
Publisher : Springer Science & Business Media
ISBN 13 : 1489923233
Total Pages : 299 pages
Book Rating : 4.4/5 (899 download)
Download or read book Harmonic Analysis and Discrete Potential Theory written by M.A. Picardello and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the Proceedings of a Congress held in Frascati (Rome) in the period July 1 -July 10, 1991, on the subject of harmonic analysis and discrete potential theory, and related topics. The Congress was made possible by the financial support of the Italian National Research Council ("Gruppo GNAFA"), the Ministry of University ("Gruppo Analisi Funzionale" of the University of Milano), the University of Rome "Tor Vergata", and was also patronized by the Centro "Vito Volterra" of the University of Rome "Tor Vergata". Financial support for publishing these Proceedings was provided by the University of Rome "Tor Vergata", and by a generous contribution of the Centro "Vito Volterra". I am happy of this opportunity to acknowledge the generous support of all these Institutions, and to express my gratitude, and that of all the participants. A number of distinguished mathematicians took part in the Congress. Here is the list of participants: M. Babillot, F. Choucroun, Th. Coulhon, L. Elie, F. Ledrappier, N. Th. Varopoulos (Paris); L. Gallardo (Brest); Ph. Bougerol, B. Roynette (Nancy); O. Gebuhrer (Strasbourg); G. Ahumada-Bustamante (Mulhouse); A. Valette (Neuchatel); P. Gerl (Salzburg); W. Hansen, H. Leptin (Bielefeld); M. Bozejko, A. Hulanicki, T. Pytlik (Wroclaw); C. Thomassen (Lyngby); P. Sjogren (Goteborg); V. Kaimanovich (Leningrad); A. Nevo (Jerusalem); T. Steger (Chicago); S. Sawyer, M. Taibleson, G. Weiss (St. Louis); J. Cohen, S.S ali ani (Maryland); D. Voiculescu (Berkeley); A. Zemanian (Stony Brook); S. Northshield (Plattsburgh); J. Taylor (Montreal); J
Author : Utkir A. Rozikov
Publisher : World Scientific
ISBN 13 : 9814513385
Total Pages : 404 pages
Book Rating : 4.8/5 (145 download)
Download or read book Gibbs Measures on Cayley Trees written by Utkir A. Rozikov and published by World Scientific. This book was released on 2013 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Gibbs measure is a probability measure, which has been an important object in many problems of probability theory and statistical mechanics. It is the measure associated with the Hamiltonian of a physical system (a model) and generalizes the notion of a canonical ensemble. More importantly, when the Hamiltonian can be written as a sum of parts, the Gibbs measure has the Markov property (a certain kind of statistical independence), thus leading to its widespread appearance in many problems outside of physics such as biology, Hopfield networks, Markov networks, and Markov logic networks. Moreover, the Gibbs measure is the unique measure that maximizes the entropy for a given expected energy. The method used for the description of Gibbs measures on Cayley trees is the method of Markov random field theory and recurrent equations of this theory, but the modern theory of Gibbs measures on trees uses new tools such as group theory, information flows on trees, node-weighted random walks, contour methods on trees, and nonlinear analysis. This book discusses all the mentioned methods, which were developed recently.
Author : Aaron Wootton
Publisher : American Mathematical Society
ISBN 13 : 1470460254
Total Pages : 366 pages
Book Rating : 4.4/5 (74 download)
Download or read book Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics written by Aaron Wootton and published by American Mathematical Society. This book was released on 2022-02-03 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automorphism groups of Riemann surfaces have been widely studied for almost 150 years. This area has persisted in part because it has close ties to many other topics of interest such as number theory, graph theory, mapping class groups, and geometric and computational group theory. In recent years there has been a major revival in this area due in part to great advances in computer algebra systems and progress in finite group theory. This volume provides a concise but thorough introduction for newcomers to the area while at the same time highlighting new developments for established researchers. The volume starts with two expository articles. The first of these articles gives a historical perspective of the field with an emphasis on highly symmetric surfaces, such as Hurwitz surfaces. The second expository article focuses on the future of the field, outlining some of the more popular topics in recent years and providing 78 open research problems across all topics. The remaining articles showcase new developments in the area and have specifically been chosen to cover a variety of topics to illustrate the range of diversity within the field.
Author : Tullio Ceccherini-Silberstein
Publisher : Cambridge University Press
ISBN 13 : 1107627850
Total Pages : 177 pages
Book Rating : 4.1/5 (76 download)
Download or read book Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups written by Tullio Ceccherini-Silberstein and published by Cambridge University Press. This book was released on 2014-01-16 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.
Author : Hyman Bass
Publisher : Springer
ISBN 13 : 3540478124
Total Pages : 179 pages
Book Rating : 4.5/5 (44 download)
Download or read book Cyclic Renormalization and Automorphism Groups of Rooted Trees written by Hyman Bass and published by Springer. This book was released on 2006-11-14 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theme of the monograph is an interplay between dynamical systems and group theory. The authors formalize and study "cyclic renormalization", a phenomenon which appears naturally for some interval dynamical systems. A possibly infinite hierarchy of such renormalizations is naturally represented by a rooted tree, together with a "spherically transitive" automorphism; the infinite case corresponds to maps with an invariant Cantor set, a class of particular interest for its relevance to the description of the transition to chaos and of the Mandelbrot set. The normal subgroup structure of the automorphism group of such "spherically homogeneous" rooted trees is investigated in some detail. This work will be of interest to researchers in both dynamical systems and group theory.
