- Series
- CDSNS Colloquium
- Time
- Monday, February 25, 2019 - 11:15am for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Yun Yang – City Univ. NY
- Organizer
- Rafael de la Llave
The real world is inherently noisy, and so it is natural to consider the random perturbations of deterministic dynamical systems and seek to understand the corresponding asymptotic behavior, i.e., the phenomena that can be observed under long-term iteration. In this talk, we will study the random perturbations of a family of circle maps $f_a$. We will obtain, a checkable, finite-time criterion on the parameter a for random perturbation of $f_a$ to exhibit a unique, and thus ergodic, stationary measure.