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On the parallelization of percolation cluster simulations

โœ Scribed by Filip V. Babalievski

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
266 KB
Volume
67
Category
Article
ISSN
0010-4655

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โœฆ Synopsis

Two different approaches to the parallelization of percolation cluster Monte Carlo simulations are briefly discussed. Suggestions for modifying these methods as to comprise the percolation transport problem and the cluster-flip dynamics are offered.

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Energy of flows on Z2 percolation cluste
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โœ Christopher Hoffman ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 141 KB

We show that if p > p c Z 2 , then the unique infinite percolation cluster supports a nonzero flow f with finite q energy for all q > 2. This extends the work of Grimmett, Kesten, and Zhang (Probab Th. Relat Fields 96 (1993), 33-44) and Levin and Peres (Preprint, 1998) in dimensions d โ‰ฅ 3. As an app