On the spectrum of lamplighter groups and percolation clusters
โ Scribed by Franz Lehner; Markus Neuhauser; Wolfgang Woess
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 278 KB
- Volume
- 342
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
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 โฅ 3. As an app