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We show random polymer is diffusive in dimensions 1 and 2 in probability in an intermediate scaling regime.
Lawler G.F.: Intersection of Random Walks
1991
Earlier work this paper cites.
Alberts T., Khanin K. and Quastel J.: The Intermediate Disorder Regime for Directed Polymers in Dimension 1+1. Physical Review Letters, 105, 090603 (2010)
2010
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