# Poincaré recurrence theorem

## Papers overview

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2015

2015

- The American Mathematical Monthly
- 2015

In this note, we prove the classical Poincaré’s recurrence theorem by using the first Borel–Cantelli lemma.

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2014

2014

- 2014

The Poincaré recurrence theorem is one of the first and most fundamental theorems of ergodic theory. When applied to a dynamical… (More)

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2010

2010

- 2010

It is shown that for a large class of spaces, almost all the homeomorphisms of the space do not satisfy the Poincaré Recurrence… (More)

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2009

2009

- IFSA/EUSFLAT Conf.
- 2009

The classical Poincaré weak recurrence theorem states that for any probability space (Ω,S, P ), any P -measure preserving… (More)

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2008

2008

- 2008

A high dimensional dynamical system is often studied by experimentalists through the measurement of a relatively low number of… (More)

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Highly Cited

2007

Highly Cited

2007

- 2007

Seismicity is modeled as a sequence of earthquake nucleation events in which the distribution of initial conditions over the… (More)

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2006

2006

- 2006

The existence in the physical QCD vacuum of nonzero gluon condensates, such as 〈gF 〉, requires dominance of gluon fields with… (More)

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2004

2004

- 2004

Finite entropy thermal systems undergo Poincaré recurrences. In the context of field theory, this implies that at finite… (More)

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2002

2002

- 2002

We provide new non-trivial quantitative information on the behavior of Poincaré recurrence. In particular we establish the almost… (More)

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2000

2000

- 2000

We study the quantitative behavior of Poincaré recurrence. In particular, for an equilibrium measure on a locally maximal… (More)

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