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.


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.