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Tag Archives: interval maps
Sharkovsky’s theorem
This post is based on a talk given by Keith Burns in the UH dynamical systems seminar yesterday, in which he presented a streamlined proof of Sharkovsky’s theorem due to him and Boris Hasselblatt. 1. Background and statement of the … Continue reading
Convex cones and the Hilbert metric
Having spent some time discussing spectral methods and coupling techniques as tools for studying the statistical properties of dynamical systems, we turn now to a third approach, based on convex cones and the Hilbert metric. This post is based on … Continue reading
Spectral methods in dynamics (part 2)
This is a continuation of the last post, which were notes from the first in a series of talks at the Houston dynamics seminar on spectral methods for transfer operators as tools to establish statistical properties of dynamical systems. This … Continue reading
Posted in ergodic theory, examples, statistical laws
Tagged interval maps, physical measures, spectral methods, transfer operator
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Spectral methods in dynamics
In the dynamics seminar here at Houston, we’re beginning a series of expository talks on statistical properties of dynamical systems. This week’s talk was given by Andrew Török and introduces some of the spectral methods for transfer operators that prove … Continue reading