Math Colloquium

Title:  Statistical properties of hyperbolic dynamical systems and trace formulae

Speaker : Malo Jézéquel, MIT

Abstract: Hyperbolic dynamical systems are notoriously chaotic: there is no hope to describe the long-time asymptotic of a given trajectory. However, their statistical properties are sometimes easier to understand: while deterministic, some systems tend to behave like a random process on large scales of times. During this talk, I will motivate the study of hyperbolic dynamical systems and explain how this behavior may be understood through the spectrum of an operator (the Ruelle spectrum), using functional analytic techniques developed in the last two decades. I will finally mention the relationship between the Ruelle spectrum and the periodic orbits of the system, touching upon the topic of dynamical zeta functions and trace formulae for hyperbolic dynamical systems.

 

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Note that the talk will be streamed live in Chase 319.  Graduate students are encouraged to attend! 

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