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NCTS Nonlinear PDE and Analysis Seminar
10:00 - 11:00, September 13, 2023 (Wednesday)
broadcast in Room 505, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館505教室直播/收播)
Colored Noise and Parabolic Anderson Model on Torus
Cheng Ouyang (University of Illinois at Chicago)


We construct an intrinsic family of Gaussian noises on compact Riemannian manifolds which we call the colored noise on manifolds. It consists of noises with a wide range of singularities. Using this family of noises, we study the parabolic Anderson model on compact manifolds. To begin with, we started our investigation on a flat torus and established existence and uniqueness of the solution, as well as some sharp bounds on the second moment of the solution. In particular, our methodology does not necessarily rely on Fourier analysis and can be applied to study the PAM on more general manifolds.

WebEx Link: https://ntucc.webex.com/ntucc-en/j.php?MTID=m5d8487053c065fcd7b777bb99ebaf54d

Meeting number (access code): 2510 721 4344
Meeting password: 7vK7maPdS6S


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