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Field Theory Conjecture for Loop-Erased Random Walks

✍ Scribed by Andrei A. Fedorenko; Pierre Le Doussal; Kay Jörg Wiese


Publisher
Springer
Year
2008
Tongue
English
Weight
257 KB
Volume
133
Category
Article
ISSN
0022-4715

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Loop-erased self-avoiding random walks i
✍ Bradley, R. E.; Windwer, S. 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 498 KB 👁 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