Bulletin of the American Mathematical Society

Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem

Author(s): David Aldous; Persi Diaconis
Journal: Bull. Amer. Math. Soc. 36 (1999), 413-432.
MSC (1991): Primary 60C05, 05E10, 15A52, 60F05
Posted: July 21, 1999
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Abstract: We describe a simple one-person card game, patience sorting. Its analysis leads to a broad circle of ideas linking Young tableaux with the longest increasing subsequence of a random permutation via the Schensted correspondence. A recent highlight of this area is the work of Baik-Deift-Johansson which yields limiting probability laws via hard analysis of Toeplitz determinants.

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Retrieve articles in Bulletin of the American Mathematical Society with MSC (1991): 60C05, 05E10, 15A52, 60F05

David Aldous
Affiliation: Department of Statistics, 367 Evans Hall, University of California, Berkeley, CA 94720
Email: aldous@stat.berkeley.edu

Persi Diaconis
Affiliation: Departments of Mathematics and Statistics, Stanford University, Stanford, CA 94305

DOI: 10.1090/S0273-0979-99-00796-X
PII: S 0273-0979(99)00796-X
Received by editor(s): May 17, 1999
Posted: July 21, 1999
Additional Notes: Research supported by NSF Grant MCS 96-22859.
Copyright of article: Copyright 1999, American Mathematical Society

J. Baik, P. Deift and K. Johansson, On the distribution of the length of the longest increasing subsequence of random permutations, J. Amer. Math. Soc. 12 (1999), 1119--1178. MR 2000e:05006

K. Johansson, Transversal fluctuations for inceasing subsequences on the plane, Probab. Theory Related Fields 116 (2000), 445--456. MR CMP 1 757 595

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