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Random trees via conformal welding

Peter Lin, UW
Tuesday, May 23, 2017 - 1:30pm to 3:30pm
C-401 Padelford

Every finite combinatorial tree can be canonically embedded in the plane as the solution to a certain conformal welding problem.
We consider the properties of this embedding for large random trees.
In particular we investigate the existence, uniqueness and regularity of the limiting probability distribution as the number of edges goes to infinity. This is based on joint work with Steffen Rohde.