CMI Seminar: Jingcheng Liu
Annenberg 314
Approximate counting, phase transitions & geometry of polynomials
Jingcheng Liu,
Postdoc, Center for the Mathematics of Information,
Caltech,
In classical statistical physics, a phase transition is understood by studying the geometry (the zero-set) of an associated polynomial (the partition function). In this talk I will show that one can exploit this notion of phase transitions algorithmically, and conversely exploit the analysis of algorithms to understand phase transitions.
As applications, I will give efficient deterministic approximation algorithms (FPTAS) for counting q-colorings, and for computing the partition function of the Ising model.
This talk is fully self-contained, and based on joint work with Alistair Sinclair and Piyush Srivastava.
For more information, please contact Linda Taddeo by phone at 626-395-6704 or by email at [email protected] or visit Mathematics of Information Seminar - Upcoming Events.