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1 The Strange Geometry of High-dimensional Spanning Forests

The Strange Geometry of High-dimensional Spanning Forests

  • Yuval Peres
  • Joint work with Tom Hutchcroft

July 3, 2018

Date

83

Slides
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Useful Information

  • Related Article:Benjamini, Itai, Harry Kesten, Yuval Peres, and Oded Schramm. "Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12,…." In Selected Works of Oded Schramm, pp. 751-777. Springer, New York, NY, 2011.
  • Related Article:Hutchcroft, Tom, and Yuval Peres. "The component graph of the uniform spanning forest: transitions in dimensions 9, 10, 11,..." Probability Theory and Related Fields 175, no. 1 (2019): 141-208.
  • Related Article: Benjamini, Itai, Russell Lyons, Yuval Peres, and Oded Schramm. "Special invited paper: uniform spanning forests." Annals of probability (2001): 1-65.
  • Related Article: Lyons, Russell, Yuval Peres, and Xin Sun. "Induced graphs of uniform spanning forests." In Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, vol. 56, no. 4, pp. 2732-2744. Institut Henri Poincaré, 2020.
  • Related Book: Probability on trees and networks
  • Related Video: Occupation measure of random walks and wired spanning forests in balls of Cayley graphs

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