Longest increasing subsequence as expectation of a simple nonlinear stochastic PDE with a low noise intensity

Details Longest increasing subsequence as expectation of a simple nonlinear stochastic PDE with a low noise intensity Longest increasing subsequence as expectation of a simple nonlinear stochastic PDE with a low noise intensity

2006-11-20

arxiv.org/abs/cond-mat/0611537v2

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures, reference added

Scientific paper

10.1103/PhysRevE.75.061113

We report some new observation concerning the statistics of Longest
Increasing Subsequences (LIS). We show that the expectation of LIS, its
variance, and apparently the full distribution function appears in statistical
analysis of some simple nonlinear stochastic partial differential equation
(SPDE) in the limit of very low noise intensity.

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