𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Self-avoiding random walk in d<4 dimensions

✍ Scribed by V.I. Alkhimov

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
211 KB
Volume
133
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Loop-erased self-avoiding random walks i
Loop-erased self-avoiding random walks in four and five dimensions
✍ 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

Deterministic and random partially self-
Deterministic and random partially self-avoiding walks in random media
✍ César Augusto Sangaletti Terçariol; Rodrigo Silva González; Wilnice Tavares Reis 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 240 KB

Consider a set of N cities randomly distributed in the bulk of a hypercube with d dimensions. A walker, with memory m, begins his route from a given city of this map and moves, at each discrete time step, to the nearest point, which has not been visited in the preceding m steps. After reviewing the

Correction of scaling exponents for self
Correction of scaling exponents for self-avoiding walks in two dimensions
✍ Jean Dayantis; Jean-François Palierne 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 404 KB

## Abstract The first and second correction‐to‐scaling exponents for two‐dimensional self‐avoiding walks have been estimated using exact enumeration data up to twenty‐two steps, and Monte Carlo simulation data from twenty‐three up to two hundred steps. It was found that Δ~1~, the first correction‐t

Markovian nature of the two-dimensional
Markovian nature of the two-dimensional self-avoiding random walk problem
✍ F.W. Wiegel 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 351 KB

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.