Reinforced Processes and Anderson Localization
发布时间：2018年07月23日
浏览次数：5643
发布者: He Liu
主讲人： Xiaolin Zeng (Tel Aviv University)
活动时间： 从 2018-07-24 14:00 到 16:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）78201室
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.
