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Computer-assisted proofs, proof assistants and visualization in dynamical systems

Estimates on Lyapunov exponents via the pressure function

speaker: Mark Pollicott (University of Warwick)

abstract: Given an expanding map of the interval one can estimate the Lyapunov exponent (or equivalently the metric entropy) for the absolutely continuous invariant probability measure using the pressure function. This lends itself to rigorous estimates. For random products of suitable matrices the same approach gives estimates on their top Lyapunov exponent.

timetable:
Wed 19 Jun, 15:30 - 16:20, Aula Dini
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