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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
2018
Highly Cited
2018
The thermodynamic description of many-particle systems rests on the assumption of ergodicity, the ability of a system to explore… 
Highly Cited
2014
Highly Cited
2014
Every one of the important strong limit theorems that we have seen thus far – the strong law of large numbers, the martingale… 
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
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… 
Review
1989
Review
1989
The fabric comprises a novel type of netting which will have particular utility in screening out mosquitoes and like insects and… 
Highly Cited
1987
Highly Cited
1987
Probability, Random Processes, and Ergodic Properties is for mathematically inclined information/communication theorists and…