Capacity of Markov Processes and Variational Principles

In November and December 2023, I gave two introductory talks at Peer Mathematics Seminar, a weekly peer seminar held in Department of Mathematical Sciences, Seoul National University. I introduced potential theoretic concepts and variational principles for practical computation, which can be applied to study of metastable behavior of stochastic processes. The talks were based on the lecture note of Prof. I. Seo.

Lecture Note

These are hand-written notes for my talk.