Abstract:
The Contact Process is a stochastic process that serves as a generic model for the propagation of a certain infection or rumor among a certain population. It is one of the simplest systems that exhibit a Phase Transition. A Marked Poisson Point Process is a random process consisting of set of points on the space where each point carries extra information, for instance a color or perhaps something richer such as another random process. For a stochastic evolution that is doomed to be absorbed (i.e. get extinct), a Quasi-Stationary Distribution is a probability distribution which, although does not give a steady state for the process since the only steady state in this context is total extinction, is a steady state when conditioning on non-extinction.
In this talk we will try to explain those three concepts assuming only elementary mathematical knowledge, and then describe the Scaling Limit of the subcritical Contact Process in terms of a Marked Poisson Point Process and a Quasi-Stationary Distribution.
The original theorems that we will eventually state were proved in two recent articles, one co-authored with A. Deshayes, and the other with E. Andjel, F. Ezanno and P. Groisman.
*Please note that tea and coffee reception will start at 4:00 PM.
NYU Shanghai STEM Seminar Series - Spring 2018
4:30-5:30 PM, Every Wednesday | Room 204, NYU Shanghai
- March 21: Jeffrey Erlich, Assistant Professor of Neural and Cognitive Sciences
- March 28: Gang Fang, Assistant Professor of Biology
- April 11: Tao Huang, Visiting Assistant Professor of Mathematics
- April 18: Li Li, Associate Professor of Neural Science and Psychology
- April 25: Leonardo T. Rolla, Visiting Assistant Professor of Mathematics
- May 02: Xinying Cai, Assistant Professor of Neural and Cognitive Sciences
- May 09: Hanghui Chen, Assistant Professor of Physics
This event is for NYU Shanghai community. External attendees please RSVP HERE.