Cisco Webex, Online seminar
(線上演講 Cisco Webex)
Stochastic Stability of Equilibrium Measures via Quasi-ergodic Measures
Matheus Manzatto de Castro (University of New South Wales)
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 neighbourhood 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 repellers are conditioned stochastically stable. In the process, we establish a rigorous foundation for the existence of natural, which were proposed by Kantz and Grassberger in 1984 to aid the understanding of chaotic transients. This is a joint work with Bernat Bassols-Cornudella and Jeroen S. W. Lamb.
Meeting number (access code): 2511 357 1847
Meeting password: bxQWE9yrT36
Organizers: Chueh-Hsin Chang (CCU), Jia-Yuan Dai (NTHU), Bo-Chih Huang (CCU), Chih-Chiang Huang (CCU), Alejandro López-Nieto (NTU), Chang-Hong Wu (NYCU)
