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Relation between the two-dimensional self-avoiding walk and the Eden model

โœ Scribed by Pierre Devillard


Book ID
108002995
Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
681 KB
Volume
153
Category
Article
ISSN
0378-4371

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๐Ÿ“œ SIMILAR VOLUMES


Markovian nature of the two-dimensional
โœ F.W. Wiegel ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.