Jump to content

Markov partition

From Wikipedia, the free encyclopedia
This is an old revision of this page, as edited by Charles Matthews (talk | contribs) at 21:37, 17 August 2007 (create lead). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In mathematics, in the field of dynamical systems, the existence a Markov partition is a particular property of a system. Such a partition shows that, at a coarse level, the deterministic dynamic system resembles a discrete-time Markov process.

This is a property of expanding endomorphisms or Anosov diffeomorphisms of compact Riemannian manifolds. Markov partitions appear, for example, in dynamical billiards.