Title: Instability of invariant manifolds for iterated function systems
Abstract: Invariant manifolds play a pivotal role in a variety of models of practical interest, e.g., those coming from physics for which the stabilizer set of a given symmetry subgroup is invariant. In this talk I will discuss recent work with Jacob Bedrossian and Sam Punshon-Smith on the use of Lyapunov exponents and ergodic theory tools for establishing instability of almost-surely invariant sets in suitable random dynamical systems settings.
Bryna Kra
(847) 491-5567
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