26 Nov 2024
In November 2024, I gave a talk at the final presentation session for the course Topics in Topology (Ergodic Theory with a view towards Number Theory) by Prof. Seonhee Lim. I introduced the transfer operator framework for establishing the exponential mixing properties of dynamical systems. In particular, I covered proofs of exponential mixing of one-dimensional expanding maps, and geodesic flows on compact surfaces of variable negative curvature. The talk was based on Pollicott’s lecture notes [6].
15 Nov 2024
In November 2024, I gave a talk at the Seoul National University Dynamics Seminar, supervised by Prof. Seonhee Lim. I introduced basic concepts related to random walks on groups, the notion of invariant random subgroups, and generalizations of the tools for random walks on groups to random coset spaces.
29 Oct 2024
In October 2024, I gave a talk at Peer Mathematics Seminar, a weekly peer seminar held in Department of Mathematical Sciences, Seoul National University. I discussed the construction of the Sherrington–Kirkpatrick model and the Parisi formula, and addressed the open problems involving the phase transition observed through the free energy. The contents of this talk were based on Prof. Antonio Auffinger’s lectures at 13th Cornell Probability Summer School.
25 Oct 2024
In October 2024, I gave an invited talk at the 2024 KMS Annual Meeting. I presented a precise estimate for the mean extinction time of the contact process with a fixed infection rate on a star graph. The talk was based on my research advised by Prof. Insuk Seo, and the preprint of my paper can be found on arXiv.
02 Oct 2024
In October 2024, I gave a talk at Peer Mathematics Seminar, a weekly peer seminar held in Department of Mathematical Sciences, Seoul National University. I discussed the construction of random walks on groups and introduced important concepts that appear in this field: harmonic functions, the Poisson–Furstenberg boundary, and Avez asymptotic entropy.