Dynamics on random graphs and random maps / Dynamiques sur graphes et cartes aléatoires

Collection Dynamics on random graphs and random maps / Dynamiques sur graphes et cartes aléatoires

Organizer(s) Ménard, Laurent ; Nolin, Pierre ; Schapira, Bruno ; Singh, Arvind
Date(s) 23/10/2017 - 27/10/2017
linked URL http://conferences.cirm-math.fr/1672.html
00:00:00 / 00:00:00
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Interlacements and the uniform spanning forest

By Tom Hutchcroft

Also appears in collection : Exposés de recherche

The Aldous-Broder algorithm allows one to sample the uniform spanning tree of a finite graph as the set of first-entry edges of a simple random walk. In this talk, I will discuss how this can be extended to infinite transient graphs by replacing the random walk with the random interlacement process. I will then outline how this new sampling algorithm can be used to compute critical exponents for the uniform spanning forest of $Z^d$.

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Citation data

  • DOI 10.24350/CIRM.V.19229403
  • Cite this video Hutchcroft, Tom (24/10/2017). Interlacements and the uniform spanning forest. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19229403
  • URL https://dx.doi.org/10.24350/CIRM.V.19229403

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