In recent years there has been a growing interest in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. This collection of survey papers by leading researchers covers a wide variety of recent developments in these subjects and their interconnections. Researchers and graduate students interested in either of these areas will find this volume to be an excellent introduction to problems and research directions arising from their interconnections.
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Book Description
This volume contains a collection of survey papers by leading researchers covering a wide variety of recent developments in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. It provides researchers and graduate students interested in either of these areas with a guide to work done in the other, as well as with an introduction to problems and research directions arising from their interconnections.
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First Sentence:
Abstract. We review the basic ergodic theory of non-singular transformations placing special emphasis on those transformations admitting o-finite, infinite invariant measures. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
transformation group groupoid, point distal system, discrete spectrum transformations, infinite measure preserving transformations, weak mixing extension, dual ergodic, ergodic measure preserving system, outer conjugacy, multiple recurrence theorem, distal transformations, countable amenable groups, outer conjugate, enveloping semigroup, ergodic equivalence relations, measure preserving systems, countable equivalence relations, ergodic measure preserving transformation, mixing iff, meagre set, compact extension, ergodic group, measure distal, countable group, distal systems, isometric extension Key Phrases - Capitalized Phrases (CAPs): (learn more)
Polish G-space, New York, Borel G-space, Halmos-von Neumann, Academic Press, Cambridge University Press, Israel Journal of Math, Lecture Notes, London Math, Alain Louveau, Boundedness Theorem, Contemporary Math, Hillel Furstenberg, Princeton University Press, Silver's Theorem, Soviet Math New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Abstract. We review the basic ergodic theory of non-singular transformations placing special emphasis on those transformations admitting o-finite, infinite invariant measures. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
transformation group groupoid, point distal system, discrete spectrum transformations, infinite measure preserving transformations, weak mixing extension, dual ergodic, ergodic measure preserving system, outer conjugacy, multiple recurrence theorem, distal transformations, countable amenable groups, outer conjugate, enveloping semigroup, ergodic equivalence relations, measure preserving systems, countable equivalence relations, ergodic measure preserving transformation, mixing iff, meagre set, compact extension, ergodic group, measure distal, countable group, distal systems, isometric extension Key Phrases - Capitalized Phrases (CAPs): (learn more)
Polish G-space, New York, Borel G-space, Halmos-von Neumann, Academic Press, Cambridge University Press, Israel Journal of Math, Lecture Notes, London Math, Alain Louveau, Boundedness Theorem, Contemporary Math, Hillel Furstenberg, Princeton University Press, Silver's Theorem, Soviet Math New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 22
books:
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2
books
cite this book:
- Classical Descriptive Set Theory (Graduate Texts in Mathematics) (v. 156) by Alexander S. Kechris on page 257, page 270, and page 291
- Ergodic Theory (Cambridge Studies in Advanced Mathematics) by Karl E. Petersen on page 28, and page 57
- The Descriptive Set Theory of Polish Group Actions (London Mathematical Society Lecture Note Series) by Howard Becker on page 256, and page 270
- Lectures on Ergodic Theory (AMS Chelsea Publishing) by Paul R. Halmos on page 28, and page 56
- Algebraic Ideas in Ergodic Theory (Cbms Regional Conference Series in Mathematics) by Klaus Schmidt on page 85
See all 22 books this book cites
- Analysis and Logic (London Mathematical Society Lecture Note Series) by C. Ward Henson on page 184
- Modern Dynamical Systems and Applications by Michael Brin on page 143
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