Asymptotic Enumeration of Large Genus Maps Using Random Walks

This lecture by Michael Wallner from Graz University of Technology explores the asymptotic enumeration of large genus maps through random walk techniques. Delivered at the International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2025) at the Fields Institute on May 5, 2025, the 28-minute talk delves into advanced mathematical concepts connecting map enumeration with random walk theory. Discover how probabilistic methods can be applied to solve complex combinatorial problems in the study of maps with large genus characteristics.