# Graduate Seminar on Probability Theory, WS 2011/2012

Time, room | Thursday 14-16, LWK 0.003 |

Start | Second week of the semester |

Schedule | Click here |

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.