One World Probability Seminar Thursday November 12, 2020:
Tomorrow's speaker in the One World Probability Seminar is
(Note: all times are in UTC.
Due to time changes, you should check what that translates to in your location)
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(14:00-15:00 UTC) Claudio Landim (IMPA)
Title: Metastability as Markov chains model reduction
Abstract: In this lecture, we review recent developments in the theory of the metastable behavior of continuous-time Markov chains. To illustrate it, we consider the evolution of the magnetization in the Ising model and the dynamics of the condensate in critical zero-range processes.
(15:00-16:00 UTC) Insuk Seo (Seoul National University
Title: Metastability of stochastic interacting systems
Abstract: In this second presentation regarding the metastability of random dynamical systems, we focus on two specific models to understand how the general methodologies introduced in the first presentation can be applied. The first model is the Ising model on a finite, fixed, and large lattice without an external field at very low temperatures. We explain how the potential theory can be effectively employed for analyzing the said model, whose saddle between ground states comprises a large set of configurations with complicated structure. The second model is the zero-range process with sticky interaction. We elucidate how various approaches can be applied for handling the non-reversibility or the criticality associated with the stickiness of particles.
The study on the Ising model is a collaboration with S. Kim, and the study on the zero-range process is a collaboration with C. Landim and D. Marcondes.