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Ergodicity

Known as: Ergodic, Unique ergodicity, Ergotic 
In mathematics, the term ergodic is used to describe a dynamical system which, broadly speaking, has the same behavior averaged over time as averaged… 
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Papers overview

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Highly Cited
2019
Highly Cited
2019
1 Strong laws of large numbers . . . . . . . . . . . . . . . . . . 1 2 Heuristics and proof for the Ergodic theorem… 
Highly Cited
2017
Highly Cited
2017
The thermodynamic description of many-particle systems rests on the assumption of ergodicity, the ability of a system to explore… 
Highly Cited
2007
Highly Cited
2007
We consider basic ergodicity properties of adaptive Markov chain Monte Carlo algorithms under minimal assumptions, using coupling… 
Highly Cited
2006
Highly Cited
2006
This paper opened the new area the information theory. Before this paper, most people believed that the only way to make the… 
Highly Cited
2004
Highly Cited
2004
Weak integrability of the central foliation 56 6. Intermediate Foliations 58 6.1. Non-integrability of intermediate distributions… 
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… 
Review
1997
Review
1997
Various notions of geometric ergodicity for Markov chains on general state spaces exist. In this paper, we review certain… 
Highly Cited
1992
Highly Cited
1992
We present a phenomenological model for the dynamics of disordered (complex) systems. We postulate that the lifetimes of the many… 
Highly Cited
1975
Highly Cited
1975
. Let (X, ® ) be a standard Borel space, R c X X X an equivalence, relation e® x S. Assume each equivalence class is countable…