Enumeration of walks by winding angle
Andrew Elvey Price
Institut Denis Poisson, CNRS et Université de Tours
Mon, Jan. 09th 2023, 11:00-12:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
How much does a random walk wind around a given point? At the large scale this question has been well understood since the 80's thanks to work by Spitzer, Belisle, Rudnick, Hu and many others. In 2017, Budd gave the first exact results for this problem, by solving it on the square lattice. In this talk I will describe my exact solutions for a more general class of models, namely walks with small steps.
https://www.youtube.com/watch?v=diHDzBZoTaY