Graduate Seminar on Probability Theory, WS 2011/2012
|Time, room||Thursday 14-16, LWK 0.003|
|Start||Second week of the semester|
|Supervision||Patrik Ferrari (LWK 3.047)|
|Contact||Send me an email in case of questions|
Subject: Ten lectures Particle Systems
The seminar is based on the Durrett's lecture notes of the Summer School of Saint-Flour XXIII-1993 (published in the Springer "Lecture Notes in Mathematics" number 1608). Link. Other literature will be used whenever it is needed for a deeper mathematical understanding / constructions.
The systems under consideration are interacting particle systems spanning from contact processes, voter models, percolation, to predator-prey systems and epidemic models. Some of the question one wants to address are for instance
- What are the stationary distributions?
- When do interacting particle systems have a nontrivial stationary distributions?
- When do phenomena like phase transitions or clustering occur?
If you are interested in participating and can not attend the informative meeting, please send me an email.