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… (More)
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Papers overview

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Highly Cited
2009
Highly Cited
2009
This paper develops a new communication strategy, ergodic interference alignment, for the K-user interference channel with time… (More)
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Highly Cited
2009
Highly Cited
2009
A cognitive radio network (CRN) is formed by either allowing the secondary users (SUs) in a secondary communication network (SCN… (More)
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Highly Cited
2008
Highly Cited
2008
Wiener, Norbert (1894-1964) A few words on the two neoteric terms, cybertext and ergodic, are in order. Cybertext is a neologism… (More)
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2008
2008
Glossary 1 1. Definition of the subject and its importance 2 2. Basic Results 2 3. Panorama of Examples 7 4. Mixing notions and… (More)
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Review
2003
Review
2003
Physical and numerical experiments show that deterministic noise, or chaos, is ubiquitous. While a good understanding of the… (More)
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2003
2003
In this paper, among other things, we state and prove the mean ergodic theorem for amenable semigroup algebras. 
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Highly Cited
1995
Highly Cited
1995
  • MATHÉMATIQUES DE L’I.H.É.S, D. Ruelle
  • 1995
— If/is a C' diffeomorphism of a compact manifold M, we prove the existence of stable manifolds, almost everywhere with respect… (More)
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Highly Cited
1994
Highly Cited
1994
We consider simple random walk on the family tree T of a nondegenerate supercritical Galton-Watson branching process and show… (More)
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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… (More)
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Highly Cited
1953
Highly Cited
1953
probability and information theory with application to radar probability and information theory with application to radar… (More)
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