# Student Probability Seminar

#### Escape Rates for Rotor Walk in Z^d

Speaker: Laura Florescu

Location: Warren Weaver Hall 1314

Date: Thursday, May 2, 2013, 3:30 p.m.

Synopsis:

Rotor walk is a deterministic analogue of random walk. We study its recurrence and transience properties on $$\mathbb{Z}^d$$ for the initial configuration of all rotors aligned. If $$n$$ particles in turn perform rotor walks starting from the origin, we show that the number that escape (i.e., never return to the origin) is of order $$n$$ in dimensions $$d\geq3$$, and of order $$n/log(n)$$ in dimension $$2$$.

Joint work with Shirshendu Ganguly, Lionel Levine and Yuval Peres.

Slides available here.