Limiting probability distribution for a random walk with topological constraints |
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Authors: | Koralov L B Nechaev S K Sinai Ya G |
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Institution: | Landau Institute for Theoretical Physics USSR Academy of Sciences, 117334 Moscow, USSR. |
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Abstract: | The joint limiting probability distribution is studied for the two-dimensional random walk with topological constraints, omega(2ns), on Z(2) lattice, where 2n is its total length and (0=s=1). The expression for the density of finite-dimensional limiting probability distribution pi{xi(n)(s(1)),xi(n)(s(2)),.,xi(n)(s(r))} where xi(n)(s) = omega(2ns)/n(1/4), is described. |
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