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Probability Seminar of the Americas - 17/03/2021

15 03 im noticia ProbabilitySeminartheAmericasTítulo: Scaling limits of uniform spanning trees in three dimensions

Palestrante: Saraí Hernández-Torres
Data: 17/03/2021
Horário: 15:00 até 16:00.
Local: Transmissão online.

Confira AQUI o link para a transmissão.

Resumo: 
The uniform spanning tree (UST) on Z^3 is the infinite-volume limit of uniformly chosen spanning trees of large finite subgraphs of Z^3. The main result in this talk is the existence of subsequential scaling limits of the UST on Z^3. Furthermore, we have convergence over a particular subsequence. An essential tool is Wilson’s algorithm which samples uniform spanning trees by using loop-erased random walks (LERW). This talk will focus on the properties of the three-dimensional LERW crucial in our proofs. This is joint work with Omer Angel, David Croydon, and Daisuke Shiraishi. 

 

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