Mathematical Research Letters

Volume 16, Issue 3, May 2009 pp. 463-475.

Memory loss for time-dependent dynamical systems

Authors: William Ott (1), Mikko Stenlund (2), and Lai-Sang Young (3)
Author institution: University of Houston (1), Courant Institute of Mathematical Sciences (2), and Courant Institute of Mathematical Sciences (3)

Summary: 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.

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