EVENT DETAILS AND ABSTRACT

Title: On some instances of random walk in changing environment
Speaker: Ruojun Huang
Speaker Info: Courant Institute
Brief Description:
Special Note:
Abstract:

We will talk about two recent results on random walk in changing environment. Relying on heat kernel estimates, we show that SRW evolving independently (a). on growing-in-time internal diffusion limited aggregation random cluster is recurrent, when dimension is larger than two; (b). among time-increasing uniformly elliptic conductances on graphs including Z^d, a sharp, but not fully explicit, criterion to determine transience versus recurrence. The latter is joint work with Amir Dembo and Tianyi Zheng. We also discuss universality conjectures put forward by G. Amir et al. in arXiv:1504.04870.