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Ergodic theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Ergodic theoryedited by Cesar E. Silva, Alexandre I. Danilenko.
其他作者:	Silva, Cesar Ernesto.
出版者:	New York, NY :Springer US :2023.
面頁冊數:	xxii, 672 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eReference
標題:	Ergodic theory.
電子資源:	https://doi.org/10.1007/978-1-0716-2388-6
ISBN:	9781071623886$q(electronic bk.)

Ergodic theory
Ergodic theory[electronic resource] /edited by Cesar E. Silva, Alexandre I. Danilenko. - New York, NY :Springer US :2023. - xxii, 672 p. :ill. (some col.), digital ;24 cm. - Encyclopedia of complexity and systems science series,2629-2343. - Encyclopedia of complexity and systems science series..

Introduction to Ergodic Theory -- Ergodic Theory: Basic Examples and Constructions -- Ergodicity and Mixing Properties -- Ergodic Theory: Recurrence -- Ergodic Theorems -- Spectral Theory of Dynamical Systems -- Joinings in Ergodic Theory -- Entropy in Ergodic Theory -- Isomorphism Theory in Ergodic Theory -- Dynamical Systems of Probabilistic Origin: Gaussian and Poisson Systems -- Ergodic Theory: Non-singular Transformations -- Sarnak's Conjecture from the Ergodic Theory Point of View -- Smooth Ergodic Theory -- Ergodic and spectral theory of area-preserving flows on surfaces -- Pressure and Equilibrium States in Ergodic Theory -- Parallels Between Topological Dynamics and Ergodic Theory -- Symbolic Dynamics -- Operator ergodic theory -- Dynamical Systems and C-algebras -- The complexity and the structure and classification of Dynamical Systems -- Ergodic Theory: Interactions with Combinatorics and Number Theory -- Ergodic Theory on Homogeneous Spaces and Metric Number Theory -- Ergodic Theory: Rigidity -- Chaos and Ergodic Theory -- Ergodic Theory: Fractal Geometry.

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.

ISBN: 9781071623886$q(electronic bk.)

Standard No.: 10.1007/978-1-0716-2388-6doiSubjects--Topical Terms:

219112
Ergodic theory.

LC Class. No.: QA313 / .E76 2023

Dewey Class. No.: 515.48

Ergodic theory
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505 0 $a Introduction to Ergodic Theory -- Ergodic Theory: Basic Examples and Constructions -- Ergodicity and Mixing Properties -- Ergodic Theory: Recurrence -- Ergodic Theorems -- Spectral Theory of Dynamical Systems -- Joinings in Ergodic Theory -- Entropy in Ergodic Theory -- Isomorphism Theory in Ergodic Theory -- Dynamical Systems of Probabilistic Origin: Gaussian and Poisson Systems -- Ergodic Theory: Non-singular Transformations -- Sarnak's Conjecture from the Ergodic Theory Point of View -- Smooth Ergodic Theory -- Ergodic and spectral theory of area-preserving flows on surfaces -- Pressure and Equilibrium States in Ergodic Theory -- Parallels Between Topological Dynamics and Ergodic Theory -- Symbolic Dynamics -- Operator ergodic theory -- Dynamical Systems and C-algebras -- The complexity and the structure and classification of Dynamical Systems -- Ergodic Theory: Interactions with Combinatorics and Number Theory -- Ergodic Theory on Homogeneous Spaces and Metric Number Theory -- Ergodic Theory: Rigidity -- Chaos and Ergodic Theory -- Ergodic Theory: Fractal Geometry.
520 $a 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.
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