Ergodic Theory of Attractors

Lai-Sang Young
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Lai-Sang Young: University of California, Department of Mathematics

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 1230-1237 from Springer

Abstract: Abstract We begin with an overview of this article. Consider a dynamical system generated by a diffeomorphism f with an attractor Λ. We assume f|Λ is sufficiently complex that it is impossible to have exact knowledge of every orbit. The ergodic theory approach, which we will take attempts to describe the system in terms of the average or statistical properties of its “typical” orbits.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_117

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DOI: 10.1007/978-3-0348-9078-6_117

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