Balanced excited random walk.

Resumen: We introduce the balanced excited random walk and review recent results. In particular we give non-trivial upper and lower bounds on the range of the balanced excited random walk in two dimensions, and verify a conjecture of Benjamini, Kozma and Schapira. These are the first non-trivial results for the 2-dimensional model. This talk is partially based on a joint work with Omer Angel (University of British Columbia) and Mark Holmes (University of Melbourne).

Posted on Aug 12, 2024 in Seminario de Probabilidades de Chile, Seminars