POSITIVE DILATIONS OF PIECEWISE MONOTONIC MARKOV MAPS-Reference-Cited by-同舟云学术

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POSITIVE DILATIONS OF PIECEWISE MONOTONIC MARKOV MAPS

Published:2004-06 Issue:02 Volume:07 Page:261-269
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

ANTONIOU I.¹²³,GUSTAFSON K.¹⁴,SHKARIN S. A.¹²

Affiliation:

1. International Solvay Institutes for Physics and Chemistry, Campus Plaine ULB C.P. 231, Bd. du Triomphe, Brussels 1050, Belgium

2. Department of Mathematics and Mechanics, Moscow State University, Russia, 119899, Moscow

3. Department of Mathematics, Aristoteles University of Thessaloniki, 54006, Greece

4. Department of Mathematics, University of Colorado, Boulder, CO 80309, USA

Abstract

We provide an explicit formula which gives natural extensions of piecewise monotonic Markov maps defined on an interval of the real line. These maps are exact endomorphisms and define chaotic discrete dynamical systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025704001608

Reference28 articles.

1. Ergodic Theory

2. Topics in Ergodic Theory

3. Relaxation properties of the mixmaster universe

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