Random Strict Partitions and Determinantal Point Processes

I. Schur, Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrocheme lineare Substitionen , J. Reine Angew. Math. 139

1911

Earlier work this paper cites.

A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, editors, Higher transcendental functions , McGraw–Hill, New York, 1953–55

1953

Earlier work this paper cites.

A. R. Its, A. G. Izergin, V. E. Korepin, and N. A. Slavnov, Differential equations for quantum correlation functions , Intern. J. Mod. Phys. B4

1990

Earlier work this paper cites.

P. N. Hoffman and J. F. Humphreys, Projective representations of the symmetric groups: Q-functions and shifted tableaux , Oxford University Press, 1992

1992

Earlier work this paper cites.

Maxim Nazarov, Projective representations of the infinite symmetric group , Representation theory and dynamical systems (A. M. Vershik, ed.), Advances in Soviet Mathematics, Amer. Math. Soc. 9

1992

Earlier work this paper cites.

Sergei Kerov, Grigori Olshanski, and Anatoly Vershik, Harmonic analysis on the infinite symmetric group. A deformation of the regular representation , Comptes Rendus Acad. Sci. Paris Ser. I 316

1993

Earlier work this paper cites.

Ian G. Macdonald, Symmetric functions and Hall polynomials , 2nd ed., Oxford University Press, 1995

1995

Earlier work this paper cites.

Alexei Borodin, Multiplicative central measures on the Schur graph , Jour. Math. Sci. (New York) 96

1997

Earlier work this paper cites.

Vladimir Ivanov, The Dimension of Skew Shifted Young Diagrams, and Projective Characters of the Infinite Symmetric Group , Journal of Mathematical Sciences (New York) 96

1997

Earlier work this paper cites.

Alexei Borodin and Grigori Olshanski, Point processes and the infinite symmetric group , Math. Res. Lett. 5

1998

Cited alongside, same era.

Grigori Olshanski, Point processes and the infinite symmetric group. Part V: Analysis of the matrix Whittaker kernel , (1998), arXiv:math/9810014v1 [math.RT]

1998

Cited alongside, same era.

Percy Deift, Integrable operators , in: M. Sh. Birman’s 70th anniversary collection (V. Buslaev, M. Solomjak, D. Yafaev, eds.), Amer. Math. Soc. Transl. ser. 2, 159

1999

Cited alongside, same era.

Jinho Baik, Percy Deift, and Kurt Johansson, On the distribution of the length of the second row of a Young diagram under Plancherel measure , Geometric And Functional Analysis 10

2000

Cited alongside, same era.

Alexei Borodin, Andrei Okounkov, and Grigori Olshanski, Asymptotics of Plancherel measures for symmetric groups , J. Amer. Math. Soc. 13

C. A. Tracy and H. Widom, A limit theorem for shifted Schur measures , Duke Mathematical Journal 123

2004

Later among the works it cites.

Sho Matsumoto, Correlation functions of the shifted Schur measure , J. Math. Soc. Japan, vol. 57

2005

Later among the works it cites.

J. Hough, M. Krishnapur, Y. Peres, B. Virág, Determinantal processes and independence , Probability Surveys 3

2006

Later among the works it cites.

Mirjana Vuletić, Shifted Schur Process and Asymptotics of Large Random Strict Plane Partitions , Int. Math. Res. Notices (2007), article ID rnm043 (53 pages), arXiv:math-ph/0702068v1

2007

Later among the works it cites.

Oleg Lisovyy, Dyson’s constant for the hypergeometric kernel , (2009), arXiv:0910.1914v2 [math-ph]

Original

2009

Later among the works it cites.