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Perturbative methods for Dynamical Systems Theory and Statistical Mechanics

Mathematical Physics & Probability

Speaker: Federico Bonetto, Georgia Institute of Technology
Location: 1147 MSB
Start time: Wed, Nov 21 2007, 4:10PM

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.