Applied Maths Seminar: Manzatto de Castro -- Conditioned stochastic stability for uniformly hyperbolic dynamical systems

Mattheus Manzatto de Castro (UNSW) will be giving a talk on Wednesday 6th August at 1pm
in Carslaw 451.  Before that, we will go to lunch with the speaker, leaving Level 2 at
12.05pm.  Students are welcome to both (and get a free lunch).  

Title: Conditioned stochastic stability for uniformly hyperbolic dynamical systems
Abstract: We propose a notion of conditioned stochastic stability of invariant measures
on repellers: we consider whether quasi-ergodic measures of absorbing Markov processes,
generated by random perturbations of the deterministic dynamics and conditioned upon
survival in a neighborhood of a repeller, converge to an invariant measure in the
zero-noise limit.  Under suitable choices of the random perturbation, we find that
equilibrium states on uniformly expanding/hyperbolic repellers are conditioned
stochastically stable.  
This is joint work with Bernat Bassols Cornudella, Jeroen S.W. Lamb.