Sinai excursions
A random walk bridge is a Sinai excursion if its area process is an excursion. We find the precise asymptotic probability that a random walk is such an excursion, responding to a question of Caravenna and Deuschel, which arose in their study of random polymers exhibiting entropic repulsion. Joint work with Serte Donderwinkel, arXiv:2403.12941.
Date: 10 June 2024, 14:00 (Monday, 8th week, Trinity 2024)
Venue: Venue to be announced
Speaker: Brett Kolesnik (University of Oxford)
Organising department: Department of Statistics
Part of: Probability seminar
Booking required?: Not required
Audience: Members of the University only
Editor: Julien Berestycki