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Exact fixed point for directed random walks

J J Rajasekaran and S M Bhattacharjee

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The authors have shown that the renormalization group fixed point for mutually avoiding directed random walks in (d+1) dimensions is exactly 2 pi in where in =2-d, with no higher order terms in in . Since the whole calculation can be carried out to all orders exactly, the model is also significant from a pedagogical point of view.


PACS

05.40.Fb Random walks and Levy flights

02.20.-a Group theory

MSC

60G50 Sums of independent random variables; random walks

37F25 Renormalization

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 7 (7 April 1991)



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