Topics in Random Planar Maps

Random planar maps, which are random graphs embedded in a given 2-dimensional surface, are a natural model for a random 2-dimensional geometry. In this course, we will focus on some of the elementary aspects of this topic, including the local and scaling limits of random trees, basic counting results, local limits of triangulations or quadrangulations, and some easy scaling limit results.

Course leader

Lecturer: Prof. Gregory Miermont (ENS de Lyon, France)

Coordinator: Prof. Daniel Meyer (Jacobs University, Bremen, Germany & University of Jyväskylä)

Target group

Some acquaintance with basics of probability theory (probability space, random variables) is required, knowledge of basic results (law of large numbers, central limit theorem) is preferable, and having an idea of what a Markov chain or a martingale is is even better, but not mandatory. This course is aimed at graduate students in mathematics and physics.

The Summer School annually offers courses for advanced master’s students, graduate students, and post-docs in the various fields of science and information technology.

Course aim

The most important aims of the Summer School are to develop post-graduates scientific readiness and to offer students the possibility to study in a modern, scientific environment and to create connections to the international science community. The Summer School offers an excellent pathway to develop international collaboration in post-graduate research.

Credits info

2 ECTS
Grading: Pass/fail

Fee info

EUR 0: Participating the Summer School is free of charge, but student have to cover the costs of own travel, accommodation and meals at Jyväskylä.

Scholarships

The 26th Jyväskylä Summer School is not able to grant any Summer School students financial support.