English

Memory loss for time-dependent dynamical systems

Dynamical Systems 2012-10-02 v1

Abstract

This paper discusses the evolution of probability distributions for certain time-dependent dynamical systems. Exponential loss of memory is proved for expanding maps and for one-dimensional piecewise expanding maps with slowly varying parameters.

Keywords

Cite

@article{arxiv.1210.0109,
  title  = {Memory loss for time-dependent dynamical systems},
  author = {William Ott and Lai-Sang Young and Mikko Stenlund},
  journal= {arXiv preprint arXiv:1210.0109},
  year   = {2012}
}

Comments

10 pages, 1 figure

R2 v1 2026-06-21T22:13:19.401Z