Room 505, Cosmology Building, NTU

(臺灣大學次震宇宙館 505室)

An Introduction to Hitting Probabilities of Random Fields (I)

Cheuk-Yin Lee (National Tsing Hua University)

Abstract

I will introduce a basic problem for stochastic processes, which is to determine whether a d-dimensional process hits a given set with positive probability. If this probability is 0, the set is said to be polar. In this talk, I will focus on Gaussian random fields and present some results on upper and lower bounds for hitting probabilities, which can be used to determine if a set is polar or not.