Higher order mixing property of piecewise linear transformations

Makoto Mori

doi:10.3934/dcds.2000.6.915

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2000, Volume 6, Issue 4: 915-934. Doi: 10.3934/dcds.2000.6.915

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Higher order mixing property of piecewise linear transformations

Makoto Mori^1,

1.
Department of Mathematics, College of Humanities and Sciences, Nihon University

Received: May 2000

Published: October 2000

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Abstract

Dynamical systems generated by expanding piecewise linear transformations are considered. Decay rates of higher order mixing properties are characterized by the spectra of the Perron-Frobenius operator.

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Mathematics Subject Classification: 37A25, 37A15; 37C30.

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