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Monthly Archives: February 2013
Markov chains and mixing times (part 2 – coupling)
This week’s post continues last week’s discussion of Markov chains and mixing times, and introduces the idea of coupling as a method for estimating mixing times. We remark that some nice notes on the subject of coupling (and others) can … 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
3 Comments
Function spaces and compactness
In the last two posts on spectral methods in dynamics, we’ve used (both explicitly and implicitly) a number of results and a good deal of intuition on function spaces. It seems worth discussing these a little more at length, as … 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
2 Comments