Fetching the paper…

Reading the bibliography…

2007

Infinite-dimensional diffusions as limits of random walks on partitions

Borodin, Alexei, Olshanski, Grigori

Original
PDF
Post on X

Understand

The present paper originated from our previous study of the problem of harmonic analysis on the infinite symmetric group.

This problem leads to a family {P_z} of probability measures, the z-measures, which depend on the complex parameter z.
The z-measures live on the Thoma simplex, an infinite-dimensional compact space which is a kind of dual object to the infinite symmetric group.
The aim of the paper is to introduce stochastic dynamics related to the z-measures.

Infinite-dimensional diffusions as limits of random walks on partitions · Around

Built on

L. A. Petrov
Original
1930
Earlier work this paper cites.
A. Edrei
1952
Earlier work this paper cites.
E. Thoma
1964
Earlier work this paper cites.
J. G. Kemeny, J. L. Snell, and A. W. Knapp
1976
Earlier work this paper cites.
J. Lamperti
1977
Earlier work this paper cites.
S. N. Ethier and T. G. Kurtz
1981
Earlier work this paper cites.
A. M. Vershik and S. V. Kerov
1981
Earlier work this paper cites.
A. D. Wentzell
1981
Earlier work this paper cites.
S. N. Ethier and T. G. Kurtz
1986
Earlier work this paper cites.
B. Schmuland
1991
Earlier work this paper cites.
S. Kerov, G. Olshanski, and A. Vershik
1993
Earlier work this paper cites.

Similar

S. Kerov and G. Olshanski
1994
Cited alongside, same era.
I. G. Macdonald
1995
Cited alongside, same era.
L. Overbeck, M. Röckner, and B. Schmuland
1995
Cited alongside, same era.
A. Borodin and G. Olshanski
1998
Cited alongside, same era.
S. Kerov, A. Okounkov, G. Olshanski
1998
Cited alongside, same era.
A. Okounkov and G. Olshanski
1998
Cited alongside, same era.
A. Borodin and G. Olshanski
2000
Cited alongside, same era.
A. Borodin and G. Olshanski

Then

V. Ivanov and G. Olshanski
2002
Later among the works it cites.
S. V. Kerov
2003
Later among the works it cites.
G. Olshanski
2003
Later among the works it cites.
G. Olshanski
2003
Later among the works it cites.
G. Olshanski, A. Regev, and A. Vershik
2003
Later among the works it cites.
S. Kerov, G. Olshanski, and A. Vershik
2004
Later among the works it cites.
A. Lascoux and J.–Y. Thibon
2004
Later among the works it cites.
A. Borodin and G. Olshanski
2005

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2000

Cited alongside, same era.

A. Borodin

2001

Cited alongside, same era.

A. Borodin and G. Olshanski

2001

Cited alongside, same era.

I. B. Frenkel and W. Wang

2001

Cited alongside, same era.

A. Okounkov

Cited in the paper.

Later among the works it cites.

J. Fulman

2005

Later among the works it cites.

A. Borodin and G. Olshanski

2006

Later among the works it cites.

A. Borodin and G. Olshanski

2006

Later among the works it cites.