Metastable dynamics of Markov processes. Part 2/3.
Channel: Nils Berglund
Date: 2021-12-22

This is part 2 of a series of three lectures on metastable dynamics of Markov processes, given at the 2021 Winter School on Stochastic Dynamics of the International Research Training Group (IRTG) Bielefeld-Seoul: https://irtg.math.uni-bielefeld.de/winterschool2021

This lecture is about stochastic differential equations with periodic orbits, and how metastability in these systems can be described in terms of continuous-space Markov chains. It also contains a discussion of the stochastic FitzHugh-Nagumo equation from neuron dynamics.

Recap of part 1 0:00
Random Poincaré maps 4:17
Continuous space Markov chains 12:03
Main result 34:33
The FitzHugh-Nagumo equations 38:59
Small amplitude oscillations 44:30
Weak-noise regime 51:40

Part 1/3: https://youtu.be/erh8j8tz03o
Part 3/3: https://youtu.be/jZ8_QyYQFVg