Percolation beyond ℤd: The contributions of Oded Schramm

Olle Häggström

doi:10.1214/10-AOP563

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Home > Journals > Ann. Probab. > Volume 39 > Issue 5 > Article

September 2011 Percolation beyond ℤ^d: The contributions of Oded Schramm

Olle Häggström

Ann. Probab. 39(5): 1668-1701 (September 2011). DOI: 10.1214/10-AOP563

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Abstract

Oded Schramm (1961–2008) influenced greatly the development of percolation theory beyond the usual ℤ^d setting; in particular, the case of nonamenable lattices. Here, we review some of his work in this field.

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Olle Häggström. "Percolation beyond ℤ^d: The contributions of Oded Schramm." Ann. Probab. 39 (5) 1668 - 1701, September 2011. https://doi.org/10.1214/10-AOP563

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Published: September 2011

First available in Project Euclid: 18 October 2011

zbMATH: 1231.60111

MathSciNet: MR2884871

Digital Object Identifier: 10.1214/10-AOP563

Subjects:

Primary: 60K35

Secondary: 51M10 , 60B99 , 60K37 , 82B43

Keywords: amenability , hyperbolic plane , mass transport , percolation , Uniform spanning forest

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Ann. Probab.

Vol.39 • No. 5 • September 2011

Institute of Mathematical Statistics

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Olle Häggström "Percolation beyond ℤ^d: The contributions of Oded Schramm," The Annals of Probability, Ann. Probab. 39(5), 1668-1701, (September 2011)

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