Contact Information:
Yi Shen
Personal Website
Research Interests
My main research area is applied probability. Currently I focus on understanding the relation between the random locations (e.g., the location of the path supremum, the hitting times, etc.) and the probabilistic symmetries of stochastic processes/random fields, such as stationarity, self-similarity, exchangeability, etc. I am also working on characterizing these symmetries using various tools including extreme value theory and ergodic theory.
More generally, I am enthusiastic about various problems in probability, such as random algebraic topology, limit theorems and financial mathematics. I am also interested in the applications of probability in statistics, physics, econometrics and actuarial science.