Poincaré recurrence theorem

Known as: Poincaré's recurrence theorem, Poincare's recurrence theorem, Recurrence 
In mathematics, the Poincaré recurrence theorem states that certain systems will, after a sufficiently long but finite time, return to a state very… (More)
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2015
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
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
  • HO CHUNG-WU
  • 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
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
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
  • J•mes Dieterich
  • 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
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
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
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
We study the quantitative behavior of Poincaré recurrence. In particular, for an equilibrium measure on a locally maximal… (More)
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