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Ergodic theory

Known as: Ergodic transformation, Von Neumann mean ergodic theorem, Ergodic flow 
Ergodic theory (Ancient Greek: ergon work, hodos way) is a branch of mathematics that studies dynamical systems with an invariant measure and related… 
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Papers overview

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Highly Cited
2014
Highly Cited
2014
Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common… 
Highly Cited
2010
Highly Cited
2010
Hyperbolic dynamics studies the iteration of maps on sets with some type of Lipschitz structure used to measure distance. In a… 
Highly Cited
2003
Highly Cited
2003
Introduction General group actions: Topological dynamics Dynamical systems on Lebesgue spaces Ergodicity and mixing properties… 
Highly Cited
1998
Highly Cited
1998
1. Simple examples of equilibrium states 2. Some basic ergodic theory 3. Entropy 4. Equilibrium states and pressure 5. Gibbs… 
Highly Cited
1997
Highly Cited
1997
Non-singular transformations General ergodic and spectral theorems Transformations with infinite invariant measures Markov maps… 
Highly Cited
1986
Highly Cited
1986
Ergodic theory of dynamical systems i.e., the qualitative analysis of iterations of a single transformation is nowadays a well… 
Review
1985
Review
1985
Physical and numerical experiments show that deterministic noise, or chaos, is ubiquitous. While a good understanding of the… 
Highly Cited
1975
Highly Cited
1975
Gibbs Measures.- General Thermodynamic Formalism.- Axiom a Diffeomorphisms.- Ergodic Theory of Axiom a Diffeomorphisms. 
Highly Cited
1968
Highly Cited
1968
SUMMARY An ergodic theory is developed for the subadditive processes introduced by Hammersley and Welsh (1965) in their study of… 
Highly Cited
1967
Highly Cited
1967
0. Summary. The objects of ergodic theory -measure spaces with measure-preserving transformation groups-wil l be called processes…