##### Department of Mathematics,

University of California San Diego

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### Math 288 - Probability Seminar

## Noah Forman

#### University of Washington

## The diffusion analogue to a tree-valued Markov chain

##### Abstract:

In 1999, David Aldous conjectured that a certain natural 'random walk' on the space of binary combinatorial trees should have a continuum analogue, which would be a diffusion on the Gromov-Hausdorff space of continuum trees. This talk discusses ongoing work by F-Pal-Rizzolo-Winkel that has recently verified this conjecture with a path-wise construction of the diffusion. This construction combines our work on dynamics of certain projections of the combinatorial tree-valued random walk with our previous construction of interval-partition-valued diffusions.

Host: Jason Schweinsberg

### November 15, 2018

### 10:00 AM

### AP&M 6402

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