Reinforced Processes and Anderson Localization
Time: 2018-07-23
Published By: He Liu
Speaker(s): Xiaolin Zeng (Tel Aviv University)
Time: 14:00-16:00 July 24, 2018
Venue: Room 78201, Jingchunyuan 78, BICMR
We introduce a new exponential family of probability distributions, which can be viewed as a multivariate generalization of the Inverse Gaussian distribution. Considered as the potential of a random Schrödinger operator, this exponential family is related to the random field that gives the mixing measure of the Vertex Reinforced Jump Process (VRJP), and hence to the mixing measure of the Edge Reinforced Random Walk (ERRW), the so-called magic formula. In particular, it yields by direct computation the value of the normalizing constants of these mixing measures, which solves a question raised by Diaconis.
