The next meeting of the

National Seminar on Probability and Statistics

will be held on April 21, 2026, at 2:00 p.m. in Room 503 of the Institute of Mathematics and Informatics.

A talk on:

How long does it take to train an Elephant Random Walk

will be delivered by

Zheng Fang (University of Zurich).

Abstract: We study how conditioning on the first \(k\) steps, which we think of as training, affects the long-term behavior of the Elephant Random Walk. When the elephant is conditioned to be at position \(k\) at time \(k\), the first return time to the origin scales as \(k^{(4−4p)⁄(3−4p)}\) in the diffusive regime, and grows exponentially in the critical regime. We loosely interpret this as a measurement of the rate at which the elephant forgets its training.

More information about the talk can be found on the seminar website:
http://www.math.bas.bg/~statlab/NSPS/