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Review

2017

Review

2017

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

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

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

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

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

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

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

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 is for mathematically inclined information/communication theorists and… Expand

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Highly Cited

1969

Highly Cited

1969

This paper finds sufficient conditions for the ergodicity and recurrence of irreducible and aperiodic Markov chains. They extend… Expand

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