Skip to search form
Skip to main content
Skip to account menu
Semantic Scholar
Semantic Scholar's Logo
Search 217,273,814 papers from all fields of science
Search
Sign In
Create Free Account
Ergodic theory
Known as:
Ergodic transformation
, Von Neumann mean ergodic theorem
, Ergodic flow
Expand
Ergodic theory (Ancient Greek: ergon work, hodos way) is a branch of mathematics that studies dynamical systems with an invariant measure and related…
Expand
Wikipedia
(opens in a new tab)
Create Alert
Alert
Related topics
Related topics
44 relations
Arithmetic combinatorics
Artin billiard
Asymptotic equipartition property
Chaos theory
Expand
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2014
Highly Cited
2014
Recurrence in Ergodic Theory and Combinatorial Number Theory
H. Furstenberg
2014
Corpus ID: 61234356
Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common…
Expand
Highly Cited
2010
Highly Cited
2010
Introduction to Ergodic theory
Maryam Mirzakhani
2010
Corpus ID: 27299163
Hyperbolic dynamics studies the iteration of maps on sets with some type of Lipschitz structure used to measure distance. In a…
Expand
Highly Cited
2003
Highly Cited
2003
Ergodic Theory via Joinings
E. Glasner
2003
Corpus ID: 118283425
Introduction General group actions: Topological dynamics Dynamical systems on Lebesgue spaces Ergodicity and mixing properties…
Expand
Highly Cited
1998
Highly Cited
1998
Equilibrium States in Ergodic Theory
G. Keller
1998
Corpus ID: 117795842
1. Simple examples of equilibrium states 2. Some basic ergodic theory 3. Entropy 4. Equilibrium states and pressure 5. Gibbs…
Expand
Highly Cited
1997
Highly Cited
1997
An introduction to infinite ergodic theory
J. Aaronson
1997
Corpus ID: 119833973
Non-singular transformations General ergodic and spectral theorems Transformations with infinite invariant measures Markov maps…
Expand
Highly Cited
1986
Highly Cited
1986
Ergodic theory of random transformations
Y. Kifer
1986
Corpus ID: 45587266
Ergodic theory of dynamical systems i.e., the qualitative analysis of iterations of a single transformation is nowadays a well…
Expand
Review
1985
Review
1985
Ergodic theory of chaos and strange attractors
J. Eckmann
,
D. Ruelle
1985
Corpus ID: 18330392
Physical and numerical experiments show that deterministic noise, or chaos, is ubiquitous. While a good understanding of the…
Expand
Highly Cited
1975
Highly Cited
1975
Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
R. Bowen
1975
Corpus ID: 118490281
Gibbs Measures.- General Thermodynamic Formalism.- Axiom a Diffeomorphisms.- Ergodic Theory of Axiom a Diffeomorphisms.
Highly Cited
1968
Highly Cited
1968
The Ergodic Theory of Subadditive Stochastic Processes
Author J. F. C. Kingman
1968
Corpus ID: 116259756
SUMMARY An ergodic theory is developed for the subadditive processes introduced by Hammersley and Welsh (1965) in their study of…
Expand
Highly Cited
1967
Highly Cited
1967
Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
H. Furstenberg
Mathematical Systems Theory
1967
Corpus ID: 206801948
0. Summary. The objects of ergodic theory -measure spaces with measure-preserving transformation groups-wil l be called processes…
Expand
By clicking accept or continuing to use the site, you agree to the terms outlined in our
Privacy Policy
(opens in a new tab)
,
Terms of Service
(opens in a new tab)
, and
Dataset License
(opens in a new tab)
ACCEPT & CONTINUE