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• W2024766492 abstract "A connection is made between the random-turns model of vicious walkers and random permutations indexed by their increasing subsequences. Consequently the scaled distribution of the maximum displacements in a particular asymmeteric version of the model can be determined to be the same as the scaled distribution of the eigenvalues at the soft edge of the GUE (random Hermitian matrices). The scaling of the distribution gives the maximum mean displacement µ after t time steps as µ = (2t)1/2 with standard deviation proportional to µ1/3. The exponent 1/3 is typical of a large class of two-dimensional growth problems." @default.
• W2024766492 created "2016-06-24" @default.
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• W2024766492 date "2001-07-27" @default.
• W2024766492 modified "2023-10-12" @default.
• W2024766492 title "Random walks and random permutations" @default.
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• W2024766492 doi "https://doi.org/10.1088/0305-4470/34/31/101" @default.
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