Memory loss for time-dependent dynamical systems

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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. © International Press 2009.

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Ott, W., Stenlund, M., & Young, L. S. (2009). Memory loss for time-dependent dynamical systems. Mathematical Research Letters, 16(3), 463–475. https://doi.org/10.4310/MRL.2009.v16.n3.a7

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