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NCTS Probability Seminar
 
14:10 - 15:30, May 29, 2023 (Monday)
Room 505, Cosmology Building, NTU
(臺灣大學次震宇宙館 505室)
An Introduction to Hitting Probabilities of Random Fields (II)
Cheuk-Yin Lee (National Tsing Hua University)

Abstract

I will continue the discussion on hitting probabilities and focus on the case of critical dimensions. Although the general bounds for hitting probabilities allow us to determine whether a fixed point is polar in non-critical dimensions, they are usually inconclusive in critical dimensions. I will present Talagrand’s covering argument, which can be used to prove that points are polar in critical dimensions for Gaussian random fields. If time permits, I will also talk about a recent result for solutions of nonlinear stochastic heat equations which are non-Gaussian random fields.



 

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