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Abstract: A combinatorial interpretation is provided for the moments of characteristic polynomials of random unitary matrices. This leads to a rather unexpected consequence of the Keating and Snaith conjecture: the moments of turn out to be connected with some increasing subsequence problems (such as the last passage percolation problem). (Update)
Active bibliography (related documents): More All
1.2: Moments of Characteristic Polynomials Enumerate Two-Rowed.. - Strahov (2003) (Correct)
0.4: Longest Increasing Subsequences: From Patience Sorting to.. - Aldous, Diaconis (1999) (Correct)
0.2: Symmetrized Random Permutations - Baik, Rains (1999) (Correct)
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0.7: Products and Ratios of Characteristic Polynomials of Random.. - Baik, al. (2003) (Correct)
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BibTeX entry: (Update)
@misc{ strahov-moments,
author = "E. Strahov",
title = "Moments of Characteristic Polynomials Enumerate Two-Rowed Lexicographic
Arrays",
url = "citeseer.ist.psu.edu/article/strahov03moments.html" }
Citations (may not include all citations):47 the distribution of the length of the longest increasing sub.. - Baik, Deift et al. - 1999
47 Symmetric functions and P-recursiveness (context) - Gessel - 1990
34 Cambridge University Press (context) - Fulton - 1997
15 Random Matrix Theory and - Keating, Snaith - 2000
15 Longest increasing subsequences: from patience sorting to th.. - Aldous, Diaconis - 1999
14 Increasing subsequences and the classical groups - Rains - 1998
9 Random vicious walks and random matrices - Baik - 2000
6 Algebraic aspects of increasing subsequences - Baik, Rains - 1999
5 the Distributions of the Lengths of the Longest Monotone Sub.. (context) - Tracy, Widom - 1999
2 Riemann-Hilbert problems for last passage percolation - Baik - 2001
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