Descriptive Set Theory And Dynamical Systems
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Author | : M. Foreman |
Publisher | : Cambridge University Press |
Total Pages | : 304 |
Release | : 2000-05-25 |
Genre | : Mathematics |
ISBN | : 9780521786447 |
This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.
Author | : Alexander Kechris |
Publisher | : Springer Science & Business Media |
Total Pages | : 419 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461241901 |
Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subject, which combines many elements of the different traditions. It includes a wide variety of examples, more than 400 exercises, and applications, in order to illustrate the general concepts and results of the theory.
Author | : Su Gao |
Publisher | : CRC Press |
Total Pages | : 392 |
Release | : 2008-09-03 |
Genre | : Mathematics |
ISBN | : 9781584887942 |
Presents Results from a Very Active Area of ResearchExploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It brings together techniques from various areas of mathem
Author | : A. S. Kechris |
Publisher | : Cambridge University Press |
Total Pages | : 384 |
Release | : 1987-11-27 |
Genre | : Mathematics |
ISBN | : 9780521358118 |
To make this work accessible to logicians as well as set theorists and analysts, classical and modern theory of sets of uniqueness are covered as well as the relevant parts of descriptive set theory.
Author | : Howard Becker |
Publisher | : Cambridge University Press |
Total Pages | : 152 |
Release | : 1996-12-05 |
Genre | : Mathematics |
ISBN | : 0521576059 |
In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence relations. The particular case of locally compact groups has long been studied in many areas of mathematics. Non-locally compact Polish groups occur naturally as groups of symmetries in such areas as logic (especially model theory), ergodic theory, group representations, and operator algebras. Some of the topics covered here are: topological realizations of Borel measurable actions; universal actions; applications to invariant measures; actions of the infinite symmetric group in connection with model theory (logic actions); dichotomies for orbit spaces (including Silver, Glimm-Effros type dichotomies and the topological Vaught conjecture); descriptive complexity of orbit equivalence relations; definable cardinality of orbit spaces.
Author | : Cesar E. Silva |
Publisher | : Springer Nature |
Total Pages | : 707 |
Release | : 2023-07-31 |
Genre | : Mathematics |
ISBN | : 1071623885 |
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 | : |
Publisher | : Cambridge University Press |
Total Pages | : 248 |
Release | : |
Genre | : |
ISBN | : |
Author | : T. C. Hurley |
Publisher | : Cambridge University Press |
Total Pages | : 321 |
Release | : 1995 |
Genre | : Group theory |
ISBN | : 0521477506 |
This two-volume book contains selected papers from the international conference 'Groups 1993 Galway / St Andrews' which was held at University College Galway in August 1993. The wealth and diversity of group theory is represented in these two volumes. As with the Proceedings of the earlier 'Groups-St Andrews' conferences it is hoped that the articles in these Proceedings will, with their many references, prove valuable both to experienced researchers and also to new postgraduates interested in group theory.
Author | : Sergey Bezuglyi |
Publisher | : Cambridge University Press |
Total Pages | : 276 |
Release | : 2003-12-08 |
Genre | : Mathematics |
ISBN | : 9780521533652 |
This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey theory; topological aspects of kneading theory together with an analogous 2-dimensional theory called pruning; the dynamics of Markov odometers, Bratteli-Vershik diagrams and orbit equivalence of non-singular automorphisms; geometric proofs of Mather's connecting and accelerating theorems; recent results in one dimensional smooth dynamics; periodic points of nonexpansive maps; arithmetic dynamics; the defect of factor maps; entropy theory for actions of countable amenable groups.
Author | : Miles Reid |
Publisher | : Cambridge University Press |
Total Pages | : 312 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9780521545181 |
This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry.