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Tag Archives: decay of correlations
Slowly mixing sets
There are two equivalent definitions of mixing for a measurepreserving dynamical system . One is in terms of sets: for all measurable . The other is in terms of functions: for all . In both cases one may refer to … Continue reading
Markov chains and mixing times
Our seminar series is taking a hiatus from spectral methods for a couple weeks — these will return eventually, but in the meantime we’ll spend some time with the idea of coupling as a method for deriving statistical properties. In … Continue reading
Posted in examples, statistical laws
Tagged decay of correlations, Markov chains, PerronFrobenius, spectral methods
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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