Markovian nature of the two-dimensional self-avoiding random walk problem

✍ Scribed by F.W. Wiegel

• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 351 KB
• Volume: 98
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(79)90185-7

✦ Synopsis

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.