Ergodicity of stochastic partial differential equations driven by localized white noise

Speaker: Tianyi Pan (NYU Shanghai)

Time: 2025-11-17 11:00-12:00
Location: 1510, SIMIS
Zoom Meeting ID:844 0594 7424 Passcode:076895

Abstract: Ergodicity, in a broad sense, refers to the property that the long-time statistical behavior of a system becomes independent of its initial condition and converges to a unique invariant measure. In this talk, I will discuss how degenerate the white noise can be while still ensuring the ergodicity of stochastic partial differential equations.
The analysis combines techniques from control theory and stochastic calculus.

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About Speaker: Dr. Tianyi Pan received his bachelor’s and Ph.D. degrees in Mathematics from the University of Science and Technology of China (USTC). He is currently a postdoctoral researcher at NYU Shanghai. His research interests include stochastic partial differential equations on moving domains, random dynamical systems, and control theory.