1.

Record Nr.

UNINA9910219254203321

Titolo

Handbook of experimental stress analysis / edited by M. Hetényi

Pubbl/distr/stampa

New York : Wiley & Sons

London : Chapman & Hall, 1954

Edizione

[2nd printing]

Descrizione fisica

XII, 1077 p. : ill. ; 24 cm

Locazione

DINED

Collocazione

NN 132

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

2.

Record Nr.

UNINA9910736006603321

Titolo

Ergodic Theory / / Cesar E. Silva and Alexandre I. Danilenko, editors

Pubbl/distr/stampa

New York, NY : , : Springer Science+Business Media, LLC, , [2023]

©2023

ISBN

1-0716-2388-5

Edizione

[First edition.]

Descrizione fisica

1 online resource (50 illus., 35 illus. in color. eReference.)

Collana

Encyclopedia of Complexity and Systems Science Series

Disciplina

515.42

Soggetti

Ergodic theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.