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Random walks with short-range interaction and mean-field behavior

โœ Scribed by Sergio Caracciolo; Giorgo Parisi; Andrea Pelissetto


Publisher
Springer
Year
1994
Tongue
English
Weight
955 KB
Volume
77
Category
Article
ISSN
0022-4715

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Random walk with long-range interaction
โœ Thierry Huillet ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 962 KB

## a b s t r a c t We consider the random walk on Z + = {0, 1, . . .}, with up and down transition probabilities given the chain is in state x โˆˆ {1, 2, . . .}: Here ฮด โ‰ฅ -1 is a real tuning parameter. We assume that this random walk is reflected at the origin. For ฮด > 0, the walker is attracted to