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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… Expand
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Related topics

Related topics

20 relations
Chaos theoryChaotic mixingCyclostationary processDynamical system
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2017
Review
2017
Age of Information: A New Concept, Metric, and Tool
In an increasingly networked world in which information is becoming increasingly actual, how can a system know with certainty… Expand
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Highly Cited
2014
Highly Cited
2014
ERGODIC THEOREMS
Every one of the important strong limit theorems that we have seen thus far – the strong law of large numbers, the martingale… Expand
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Highly Cited
2007
Highly Cited
2007
COUPLING AND ERGODICITY OF ADAPTIVE MARKOV CHAIN MONTE CARLO ALGORITHMS
We consider basic ergodicity properties of adaptive Markov chain Monte Carlo algorithms under minimal assumptions, using coupling… Expand
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Highly Cited
2006
Highly Cited
2006
A Mathematical Theory of Communication
This paper opened the new area the information theory. Before this paper, most people believed that the only way to make the… Expand
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Highly Cited
2004
Highly Cited
2004
Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
The stochastic 2D Navier-Stokes equations on the torus driven by degenerate noise are studied. We characterize the smallest… Expand
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Highly Cited
1998
Highly Cited
1998
Equilibrium States in Ergodic Theory
1. Simple examples of equilibrium states 2. Some basic ergodic theory 3. Entropy 4. Equilibrium states and pressure 5. Gibbs… Expand
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Highly Cited
1997
Highly Cited
1997
An introduction to infinite ergodic theory
Non-singular transformations General ergodic and spectral theorems Transformations with infinite invariant measures Markov maps… Expand
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Highly Cited
1992
Highly Cited
1992
Weak ergodicity breaking and aging in disordered systems
We present a phenomenological model for the dynamics of disordered (complex) systems. We postulate that the lifetimes of the many… Expand
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Highly Cited
1987
Highly Cited
1987
Probability, Random Processes, And Ergodic Properties
Probability, Random Processes, and Ergodic Properties is for mathematically inclined information/communication theorists and… Expand
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Highly Cited
1969
Highly Cited
1969
Some Conditions for Ergodicity and Recurrence of Markov Chains
This paper finds sufficient conditions for the ergodicity and recurrence of irreducible and aperiodic Markov chains. They extend… Expand
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