## National Seminar on Probability and Statistics

The next meeting of the National Seminar on Probability and Statistics will be held on December 6, 2023, at 2:00 p.m. in Room 503 of the Institute of Mathematics and Informatics. A talk on: Brownian Motion Conditioned to Spend Limited Time Outside a Bounded Interval - An Extreme Example of Entropic Repulsion will be delivered by Dominic Т. Schickentanz (TU Darmstadt). Abstract. We condition a Brownian motion on \mathbb{R}_{\ge 0} on spending a total of at most s>0 time units outside a bounded interval. We describe the resulting process in terms of an SDE and discuss the surprising result in the context of entropic repulsion. Moreover, we explicitly determine the exact asymptotic behavior of the probability that a Brownian motion on [0,T] [...]