Seminar on Interacting Particle Systems

Lectures are on Tuesdays 15:30 - 17:30.

Location: Room 112 Industrial Engineering building (ניהול 112).

Zoom link: https://technion.zoom.us/j/99375564020

To join the Google group mailing list click here

Interacting particle system (IPS) is a Markov chain where the state space is a configuration or a labeled graph. We will learn about noted examples of IPS arising in computer science, economy and physics. A major part of the class would be to understand when one can define an IPS through its infinitesimal generator, and when one needs to rely on other techniques. Studying the IPS would require use of diverse tools from various mathematical fields.

The course will cover some of the following subjects:

1. Markov processes and their semigroup generators.

2. Constructing generators for particle systems.

3. Coupling particle systems, duality and reversibility.

4. Martingales for particle systems.

4. Voter model.

5. Exclusion process.

6. Opinion propagation models.

6. Durrett's graphical representation of particle systems.

7. Particle systems from statistical mechanics.

References:

Durrett - 10 lectures on Interacting Particle Systems.
Liggett - Interacting Particle Systems.
Swart - A course in Interacting Particle Systems.

Classroom board.

Notes to myself.

Class recordings: