National Seminar on Probability and Statistics
Institute of Mathematics and Informatics, BAS Akad.G.Bonchev St, bl. 8, 1113, SofiaThe 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 [...]
