Asymptotics of Plancherel measures for symmetric groups

被引：236

作者：

Borodin, A ^{[1
]}

Okounkov, A

Olshanski, G

机构：

[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA

[2] Russian Acad Sci, Inst Problems Informat Transmiss, Dobrushin Math Lab, Moscow 101447, Russia

[3] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 13卷 / 03期

关键词：

D O I：

10.1090/S0894-0347-00-00337-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：481 / 515

页数：35

共 45 条

[1] Longest increasing subsequences: From patience sorting to the Baik-Deift-Johansson theorem [J].

Aldous, D ;

Diaconis, P .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 36 (04) :413-432

[2] HAMMERSLEYS INTERACTING PARTICLE PROCESS AND LONGEST INCREASING SUBSEQUENCES [J].

ALDOUS, D ;

DIACONIS, P .

PROBABILITY THEORY AND RELATED FIELDS, 1995, 103 (02) :199-213

[3]

[Anonymous], 1944, TREATISE THEORY BESS

[4] On the distribution of the length of the longest increasing subsequence of random permutations [J].

Baik, J ;

Deift, P ;

Johansson, K .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 12 (04) :1119-1178

[5]

BAIK J, MATHCO9901118

[6] Permutation model for semi-circular systems and quantum random walks [J].

Biane, P .

PACIFIC JOURNAL OF MATHEMATICS, 1995, 171 (02) :373-387

[7] Representations of symmetric groups and free probability [J].

Biane, P .

ADVANCES IN MATHEMATICS, 1998, 138 (01) :126-181

[8]

BORODIN A, IN PRESS INT MATH RE

[9]

BORODIN A, IN PRESS COMM MATH P

[10]

BORODIN A, IN PRESS P 1999 MSRI

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