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Loop-Erased Random Walk on a Torus in Dimensions 4 and Above

✍ Scribed by Itai Benjamini; Gady Kozma


Publisher
Springer
Year
2005
Tongue
English
Weight
303 KB
Volume
259
Category
Article
ISSN
0010-3616

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Loop-erased self-avoiding random walks i
✍ Bradley, R. E.; Windwer, S. πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 498 KB πŸ‘ 2 views

Monte Carlo simulations of loop-erased self-avoiding random walks in four and five dimensions were performed, using two distinct algorithms. We find consistency between these methods in their estimates of critical exponents. The upper critical dimension for this phenomenon is four, and it has been s