Ergodic Theory Dynamical Systems And The Continuing Influence Of John C Oxtoby

Author : Joseph Auslander,Aimee Johnson,Cesar E. Silva
Publisher : American Mathematical Soc.
Page : 316 pages
File Size : 42,7 Mb
Release : 2016-11-29
Category : Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Non-Archimedean Fatou and Julia sets
ISBN : 9781470422998

Get Book

Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby by Joseph Auslander,Aimee Johnson,Cesar E. Silva Pdf

This volume contains the proceedings of three conferences in Ergodic Theory and Symbolic Dynamics: the Oxtoby Centennial Conference, held from October 30–31, 2010, at Bryn Mawr College; the Williams Ergodic Theory Conference, held from July 27–29, 2012, at Williams College; and the AMS Special Session on Ergodic Theory and Symbolic Dynamics, held from January 17–18, 2014, in Baltimore, MD. This volume contains articles covering a variety of topics in measurable, symbolic and complex dynamics. It also includes a survey article on the life and work of John Oxtoby, providing a source of information about the many ways Oxtoby's work influenced mathematical thought in this and other fields.

Author : Joseph Auslander,Aimee Johnson,César Ernesto Silva
Publisher : Unknown
Page : 128 pages
File Size : 45,5 Mb
Release : 2016
Category : Ergodic theory
ISBN : 1470435896

Get Book

Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby by Joseph Auslander,Aimee Johnson,César Ernesto Silva Pdf

Author : Cesar E. Silva,Alexandre I. Danilenko
Publisher : Springer Nature
Page : 707 pages
File Size : 41,9 Mb
Release : 2023-07-31
Category : Mathematics
ISBN : 9781071623886

Get Book

Ergodic Theory by Cesar E. Silva,Alexandre I. Danilenko Pdf

This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic theorems, joinings, isomorphism theory, recurrence, nonsingular systems. It enlightens connections of ergodic theory with symbolic dynamics, topological dynamics, smooth dynamics, combinatorics, number theory, pressure and equilibrium states, fractal geometry, chaos. In addition, the new edition includes dynamical systems of probabilistic origin, ergodic aspects of Sarnak's conjecture, translation flows on translation surfaces, complexity and classification of measurable systems, operator approach to asymptotic properties, interplay with operator algebras

Author : Alexander M. Blokh,Leonid A. Bunimovich,Paul H. Jung,Lex G. Oversteegen,Yakov G. Sinai
Publisher : American Mathematical Soc.
Page : 316 pages
File Size : 48,9 Mb
Release : 2017-09-18
Category : Billiards
ISBN : 9781470427733

Get Book

Dynamical Systems, Ergodic Theory, and Probability: in Memory of Kolya Chernov by Alexander M. Blokh,Leonid A. Bunimovich,Paul H. Jung,Lex G. Oversteegen,Yakov G. Sinai Pdf

This volume contains the proceedings of the Conference on Dynamical Systems, Ergodic Theory, and Probability, which was dedicated to the memory of Nikolai Chernov, held from May 18–20, 2015, at the University of Alabama at Birmingham, Birmingham, Alabama. The book is devoted to recent advances in the theory of chaotic and weakly chaotic dynamical systems and its applications to statistical mechanics. The papers present new original results as well as comprehensive surveys.

Author : Anatole Katok,Yakov Pesin,Federico Rodriguez Hertz
Publisher : American Mathematical Soc.
Page : 320 pages
File Size : 45,7 Mb
Release : 2017-06-19
Category : Boundary value problems
ISBN : 9781470425609

Get Book

Modern Theory of Dynamical Systems: A Tribute to Dmitry Victorovich Anosov by Anatole Katok,Yakov Pesin,Federico Rodriguez Hertz Pdf

This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work. Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.

Author : Pieter Moree,Anke Pohl,L’ubomír Snoha,Tom Ward
Publisher : American Mathematical Soc.
Page : 347 pages
File Size : 40,7 Mb
Release : 2020-02-12
Category : Education
ISBN : 9781470451004

Get Book

Dynamics: Topology and Numbers by Pieter Moree,Anke Pohl,L’ubomír Snoha,Tom Ward Pdf

This volume contains the proceedings of the conference Dynamics: Topology and Numbers, held from July 2–6, 2018, at the Max Planck Institute for Mathematics, Bonn, Germany. The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics. The volume is dedicated to the memory of Sergiy Kolyada and also contains some personal accounts of his life and mathematics.

Author : Helge Holden,Ragni Piene
Publisher : Springer
Page : 774 pages
File Size : 51,7 Mb
Release : 2019-02-23
Category : Mathematics
ISBN : 9783319990286

Get Book

The Abel Prize 2013-2017 by Helge Holden,Ragni Piene Pdf

The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners.

Author : Anna Beliakova,Aaron D. Lauda
Publisher : American Mathematical Soc.
Page : 361 pages
File Size : 44,6 Mb
Release : 2017-02-21
Category : Algebra
ISBN : 9781470424602

Get Book

Categorification and Higher Representation Theory by Anna Beliakova,Aaron D. Lauda Pdf

The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorified representation theory, or higher representation theory, aims to understand a new level of structure present in representation theory. Rather than studying actions of algebras on vector spaces where algebra elements act by linear endomorphisms of the vector space, higher representation theory describes the structure present when algebras act on categories, with algebra elements acting by functors. The new level of structure in higher representation theory arises by studying the natural transformations between functors. This enhanced perspective brings into play a powerful new set of tools that deepens our understanding of traditional representation theory. This volume exhibits some of the current trends in higher representation theory and the diverse techniques that are being employed in this field with the aim of showcasing the many applications of higher representation theory. The companion volume (Contemporary Mathematics, Volume 684) is devoted to categorification in geometry, topology, and physics.

Author : Fernanda Botelho,Raena King,T. S. S. R. K. Rao
Publisher : American Mathematical Soc.
Page : 239 pages
File Size : 48,9 Mb
Release : 2017-04-18
Category : Functional analysis -- Linear function spaces and their duals -- Banach spaces of continuous, differentiable or analytic functions
ISBN : 9781470427726

Get Book

Problems and Recent Methods in Operator Theory by Fernanda Botelho,Raena King,T. S. S. R. K. Rao Pdf

This volume contains the proceedings of the Workshop on Problems and Recent Methods in Operator Theory, held at the University of Memphis, Memphis, TN, from October 15–16, 2015 and the AMS Special Session on Advances in Operator Theory and Applications, in Memory of James Jamison, held at the University of Memphis, Memphis, TN, from October 17–18, 2015. Operator theory is at the root of several branches of mathematics and offers a broad range of challenging and interesting research problems. It also provides powerful tools for the development of other areas of science including quantum theory, physics and mechanics. Isometries have applications in solid-state physics. Hermitian operators play an integral role in quantum mechanics very much due to their “nice” spectral properties. These powerful connections demonstrate the impact of operator theory in various branches of science. The articles in this volume address recent problems and research advances in operator theory. Highlighted topics include spectral, structural and geometric properties of special types of operators on Banach spaces, with emphasis on isometries, weighted composition operators, multi-circular projections on function spaces, as well as vector valued function spaces and spaces of analytic functions. This volume gives a succinct overview of state-of-the-art techniques from operator theory as well as applications to classical problems and long-standing open questions.

Author : Farrell Brumley,Maria Paula Gomez Aparicio,Alberto Minguez
Publisher : American Mathematical Soc.
Page : 376 pages
File Size : 41,5 Mb
Release : 2017
Category : Algebraic number theory
ISBN : 9781470435738

Get Book

Around Langlands Correspondences by Farrell Brumley,Maria Paula Gomez Aparicio,Alberto Minguez Pdf

This volume contains the proceedings of the international conference ``Around Langlands Correspondences'', held from June 17-20, 2015, at Universite Paris Sud in Orsay, France. The Langlands correspondence (nowadays called the usual Langlands correspondence), conjectured by Robert Langlands in the late 1960s and early 1970s, has recently seen some new mysterious generalizations: the modular Langlands correspondence, the $p$-adic Langlands correspondence, and the geometric Langlands correspondence, the last of which seems to share deep connections with the Baum-Connes conjecture. The aim of this volume is to present, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent developments in the Langlands program. Special emphasis is placed on nonclassical versions of the conjectural Langlands correspondences, where the underlying field is no longer the complex numbers.

Author : Erica Flapan,Allison Henrich,Aaron Kaestner,Sam Nelson:
Publisher : American Mathematical Soc.
Page : 189 pages
File Size : 48,9 Mb
Release : 2017-05-19
Category : Combinatorics -- Graph theory -- Planar graphs
ISBN : 9781470428471

Get Book

Knots, Links, Spatial Graphs, and Algebraic Invariants by Erica Flapan,Allison Henrich,Aaron Kaestner,Sam Nelson: Pdf

This volume contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS Special Session on Spatial Graphs, both held from October 24–25, 2015, at California State University, Fullerton, CA. Included in this volume are articles that draw on techniques from geometry and algebra to address topological problems about knot theory and spatial graph theory, and their combinatorial generalizations to equivalence classes of diagrams that are preserved under a set of Reidemeister-type moves. The interconnections of these areas and their connections within the broader field of topology are illustrated by articles about knots and links in spatial graphs and symmetries of spatial graphs in and other 3-manifolds.

Author : Anna Beliakova,Aaron D. Lauda
Publisher : American Mathematical Soc.
Page : 267 pages
File Size : 44,8 Mb
Release : 2017-02-21
Category : Categories (Mathematics)
ISBN : 9781470428211

Get Book

Categorification in Geometry, Topology, and Physics by Anna Beliakova,Aaron D. Lauda Pdf

The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorification is a powerful tool for relating various branches of mathematics and exploiting the commonalities between fields. It provides a language emphasizing essential features and allowing precise relationships between vastly different fields. This volume focuses on the role categorification plays in geometry, topology, and physics. These articles illustrate many important trends for the field including geometric representation theory, homotopical methods in link homology, interactions between higher representation theory and gauge theory, and double affine Hecke algebra approaches to link homology. The companion volume (Contemporary Mathematics, Volume 683) is devoted to categorification and higher representation theory.

Author : Andrés Eduardo Caicedo,James Cummings,Peter Koellner,Paul B. Larson
Publisher : American Mathematical Soc.
Page : 322 pages
File Size : 54,8 Mb
Release : 2017-05-12
Category : Continuum hypothesis
ISBN : 9781470422561

Get Book

Foundations of Mathematics by Andrés Eduardo Caicedo,James Cummings,Peter Koellner,Paul B. Larson Pdf

This volume contains the proceedings of the Logic at Harvard conference in honor of W. Hugh Woodin's 60th birthday, held March 27–29, 2015, at Harvard University. It presents a collection of papers related to the work of Woodin, who has been one of the leading figures in set theory since the early 1980s. The topics cover many of the areas central to Woodin's work, including large cardinals, determinacy, descriptive set theory and the continuum problem, as well as connections between set theory and Banach spaces, recursion theory, and philosophy, each reflecting a period of Woodin's career. Other topics covered are forcing axioms, inner model theory, the partition calculus, and the theory of ultrafilters. This volume should make a suitable introduction to Woodin's work and the concerns which motivate it. The papers should be of interest to graduate students and researchers in both mathematics and philosophy of mathematics, particularly in set theory, foundations and related areas.

Author : Heather A. Harrington,Mohamed Omar,Matthew Wright
Publisher : American Mathematical Soc.
Page : 277 pages
File Size : 43,5 Mb
Release : 2017-03-16
Category : Commutative algebra -- Computational aspects and applications -- Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)
ISBN : 9781470423216

Get Book

Algebraic and Geometric Methods in Discrete Mathematics by Heather A. Harrington,Mohamed Omar,Matthew Wright Pdf

This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Methods in Applied Discrete Mathematics, held on January 11, 2015, in San Antonio, Texas. The papers present connections between techniques from “pure” mathematics and various applications amenable to the analysis of discrete models, encompassing applications of combinatorics, topology, algebra, geometry, optimization, and representation theory. Papers not only present novel results, but also survey the current state of knowledge of important topics in applied discrete mathematics. Particular highlights include: a new computational framework, based on geometric combinatorics, for structure prediction from RNA sequences; a new method for approximating the optimal solution of a sum of squares problem; a survey of recent Helly-type geometric theorems; applications of representation theory to voting theory and game theory; a study of fixed points of tensors; and exponential random graph models from the perspective of algebraic statistics with applications to networks. This volume was written for those trained in areas such as algebra, topology, geometry, and combinatorics who are interested in tackling problems in fields such as biology, the social sciences, data analysis, and optimization. It may be useful not only for experts, but also for students who wish to gain an applied or interdisciplinary perspective.

Author : Jeffrey Bergen,Stefan Catoiu,William Chin
Publisher : American Mathematical Soc.
Page : 277 pages
File Size : 47,7 Mb
Release : 2017-04-24
Category : Associative rings and algebras -- Modules, bimodules and ideals -- Modules, bimodules and ideals
ISBN : 9781470428051

Get Book

Groups, Rings, Group Rings, and Hopf Algebras by Jeffrey Bergen,Stefan Catoiu,William Chin Pdf

This volume contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2–4, 2015 at Loyola University, Chicago, IL, and the AMS Special Session on Groups, Rings, Group Rings, and Hopf Algebras, held October 3–4, 2015, at Loyola University, Chicago, IL. Both conferences were held in honor of Donald S. Passman's 75th Birthday. Centered in the area of group rings and algebras, this volume contains a mixture of cutting edge research topics in group theory, ring theory, algebras and their representations, Hopf algebras and quantum groups.