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Perturbative methods for Dynamical Systems Theory and Statistical Mechanics
Probability| Speaker: | Federico Bonetto, Georgia Institute of Technology |
| Location: | 1147 MSB |
| Start time: | Wed, Nov 21 2007, 4:10PM |
Description
In recent years we have developed some perturbative tools to analyze
Dynamical Systems. The goal is to obtain constructive and explicit
expression for the quantity of relevance having in mind mainly possible
application to Nonequilibrium Statistical Mechanics. Among the results
are the construction of the SRB measure for Coupled Anosov Maps and for
Anosov Flows. I'll review some of this results together with possible
application to open problems in Dynamical Systems Theory. Recently, we
are trying to apply similar ideas to the case of Stochastic Dynamical Systems.