Peeling Random Planar Maps: École d’Été de Probabilités de Saint-Flour XLIX – 2019 by Nicolas Curien
English | PDF EPUB (True) | 2023 | 293 Pages | ISBN : 3031368533 | 46.8 MB
These Lecture Notes provide an introduction to the study of those discrete surfaces which are obtained by randomly gluing polygons along their sides in a plane. The focus is on the geometry of such random planar maps (diameter, volume growth, scaling and local limits…) as well as the behavior of statistical mechanics models on them (percolation, simple random walks, self-avoiding random walks…).