The component graph of the uniform spanning forest: transitions in dimensions $$9,10,11,\ldots $$ 9 , 10 , 11 , …-Reference-Cited by-同舟云学术

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The component graph of the uniform spanning forest: transitions in dimensions $$9,10,11,\ldots $$ 9 , 10 , 11 , …

Published:2018-11-23 Issue:1-2 Volume:175 Page:141-208
ISSN:0178-8051
Container-title:Probability Theory and Related Fields
language:en
Short-container-title:Probab. Theory Relat. Fields

Author:

Hutchcroft Tom^ORCID,Peres Yuval

Funder

Microsoft Research

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00440-018-0884-3.pdf

Reference30 articles.

1. Barlow, M.T., Murugan, M.: Stability of the elliptic Harnack inequality. Ann. Math. (2) 187(3), 777–823 (2018)

2. Benjamini, I., Kesten, H., Peres, Y., Schramm, O.: Geometry of the uniform spanning forest: transitions in dimensions $$4,8,12,. $$ 4 , 8 , 12 , . . Ann. Math. (2) 160(2), 465–491 (2004)

3. Benjamini, I., Lyons, R., Peres, Y., Schramm, O.: Uniform spanning forests. Ann. Probab. 29(1), 1–65 (2001)

4. Broman, E.I., Tykesson, J., et al.: Connectedness of poisson cylinders in Euclidean space. In: Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, vol. 52, pp. 102–126. Institut Henri Poincaré, Paris (2016)

5. Delmotte, T.: Parabolic harnack inequality and estimates of markov chains on graphs. Revista matemática iberoamericana 15(1), 181–232 (1999)

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3. Uniform spanning forests on biased Euclidean lattices;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2021-07-22

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