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Exact analysis of the self-avoiding random walks on two infinite families of fractals

✍ Scribed by Sava Milos̆ević; Ivan Z̆ivić


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
803 KB
Volume
186
Category
Article
ISSN
0378-4371

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📜 SIMILAR VOLUMES


Exact solution of indefinitely growing s
✍ M. A. Jafarizadeh; S. Razawi; S. K. A. Seyed-Yagoobi 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 327 KB 👁 2 views

The exponent u and the connectivity constant p of an indefinitely growing self-avoiding walk and the pH for Hamiltonian walk in five simplex fractal have been calculated. We show that u is a decreasing function of d and that d = 4 is not the critical dimension.

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We show that the number of self-avoiding random walks in the plane can be deduced -in the limit of very long walks -from an integral equation for a function of three variables. This demonstrates the Markovian nature of this problem in two dimensions.