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

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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

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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

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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

Posted in ergodic theory, statistical laws | Tagged , , , , | 9 Comments