Applied Mathematics and Computation Seminar
A functional analytic approach to piecewise hyperbolic systems
Prof. Mark Demers, Fairfield University

The spectral properties of the transfer operator associated with a dynamical system have long been known to give information about the statistical properties of the system. Until recently, such an approach has been limited to piecewise expanding or analytic systems. I will discuss recent extensions of this method to piecewise hyperbolic maps and to Markov extensions of nonuniformly hyperbolic systems. I will explain some new results which follow readily from this approach. Part of the material is joint work with Carlangelo Liverani.

Refreshments at 3:45

4:00pm–5:00pm, Tuesday, October 20, 2009 in LGRT 1634

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