Universal random structures in 2d

Lectures: 2 sessions / week, 1.5 hours / session

Basic probability at the level of an introductory graduate course, 18.175 Theory of Probability or equivalent. Useful background material can also be found in the online Probability: Theory and Examples (PDF - 1.9MB) notes by Rick Durrett at Duke University.

This graduate-level course introduces students to some fundamental 2D random objects, explains how they are related to each other, and explores some open problems in the field.

Topics include:

There is no required text; references are assigned in the readings section. A set of lecture notes that is still in development is also available.

There will be two problem sets and one final project. The final project may be either expository or original-research based. Several suggested research problems will be presented. Collaborative efforts will be allowed.

Your grade will be determined by your performance on the problem sets and the final project.

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