Random Maps 8

PIMS-MPrime Summer School in Probability

授课人:Gregory Miermont

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    Probability;    Random Maps;   

加拿大|英语

【 摘 要 】

The study of maps, that is of graphs embedded in surfaces, is a popular subject that has implications in many branches of mathematics, the most famous aspects being purely graph-theoretical, such as the four-color theorem. The study of random maps has met an increasing interest in the recent years. This is motivated in particular by problems in theoretical physics, in which random maps serve as discrete models of random continuum surfaces. The probabilistic interpretation of bijective counting methods for maps happen to be particularly fruitful, and relates random maps to other important combinatorial random structures like the continuum random tree and the Brownian snake. This course will survey these aspects and present recent developments in this area.

【 授权许可】

CC BY-NC-ND   
Except where explicitly noted elsewhere, the works on this site are licensed under a Creative Commons License: CC BY-NC-ND