Anatoly Vershik - Selected Publications#


Finite traces and representations of the group of infinite matrices over a finite field (with V. Gorin and S. Kerov).
Adv. in Math. 254, 331-395 (2014).

Totally nonfree actions and the infinite symmetric group.
Moscow Math. J. 12, No. 1, 193-212 (2012).

A new approach to representation theory of symmetric groups
(with A. Okounkov), Selecta Math. 2, No. 4, 581-605 (1996).

Statistical mechanics of combinatorial partitions, and their limit configurations.
Funkts. Anal. Prilozh. 30, No. 2, 19-30 (1996). English translation: Funct. Anal. Appl. 30, No. 2, 90-105 (1996).

Random walks on discrete groups: Boundary and entropy (with V.A. Kaimanovich).
Ann. Prob. 11, No. 3, 457-490 (1983).

The commutative model of the principal representation of the current group SL(2,R)^X with respect to a unipotent subgroup
(with I.M.Gelfand and M.I.Graev). In "Group theoretical methods in physics" (Zvenigorod, 1982), 3-22. Harwood Academic Publ., Chur, 1985.

Models of representations of current groups (with I.M.Gelfand and M.I.Graev).
In "Representations of Lie groups and Lie algebras" (Budapest, 1971), 121-179. Akad. Kiado, Budapest, 1985.

Commutative model of the representation of the group of flows SL(2,R)^X connected with a unipotent subgroup
(with I.M.Gelfand and M.I.Graev). Funkts. Anal. Prilozh. 17, No. 2, 70-72 (1983). English translation: Funct. Anal. Appl.
17, 137-139 (1983).

Representations of the group of functions taking values in a compact Lie group (with I.M.Gelfand and M.I.Graev).
Compos. Math. 42, No. 2, 217-243 (1980).

Asymptotics of the Plancherel measure of the symmetric group and the limiting form of Young tableaux (with S.V.Kerov).
Dokl. Akad. Nauk SSSR 233, No. 6, 1024-1027 (1977). English translation: Sov. Math. Dokl. 18, 527-531 (1977).
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