In mathematics and physics, the Poincaré recurrence theorem states that certain dynamical systems will, after a sufficiently long but finite time, return...

Poincaré theorem may refer to: Poincaré conjecture, on homeomorphisms to the sphere; Poincaré recurrence theorem, on sufficient conditions for recurrence...

the repetition of similar events in history Poincaré recurrence theorem, Henri Poincaré's theorem on dynamical systems Radial recurrent artery – arising...

run for a long time. The first result in this direction is the Poincaré recurrence theorem, which claims that almost all points in any subset of the phase...

logically prior to the second law, not derived from it. The Poincaré recurrence theorem considers a theoretical microscopic description of an isolated...

Euler–Poincaré characteristic Neumann–Poincaré operator Reflecting Function Here is a list of theorems proved by Poincaré: Poincaré's recurrence theorem: certain...

break the cycle and enter into a new plane of existence. The Poincaré recurrence theorem states that certain dynamical systems, such as particles of gas...

statistical. Zermelo bolstered his theory by pointing out that the Poincaré recurrence theorem shows statistical entropy in a closed system must eventually...

revisited. Alternately, conservative systems are those to which the Poincaré recurrence theorem applies. An important special case of conservative systems are...

ergodic theory in particular. Measure-preserving systems obey the Poincaré recurrence theorem, and are a special case of conservative systems. They provide...