Geodesic
In memory of A. M. Vershik (28.12.1933 – 14.02.2024)
Teoriâ veroâtnostej i ee primeneniâ, Tome 69 (2024) no. 2, pp. 417-422 
A. I. Bufetov; I. A. Ibragimov; M. A. Lifshits; A. V. Malyutin; F. V. Petrov; N. V. Smorodina; A. N. Shiryaev; Yu. V. Yakubovich. In memory of A. M. Vershik (28.12.1933 – 14.02.2024). Teoriâ veroâtnostej i ee primeneniâ, Tome 69 (2024) no. 2, pp. 417-422. http://geodesic.mathdoc.fr/item/TVP_2024_69_2_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] A. M. Vershik, I. M. Gel'fand, M. I. Graev, “A commutative model of representation of the group of flows $\operatorname{SL}(2,\mathbf{R})^X$ that is connected with a unipotent subgroup”, Funct. Anal. Appl., 17:2 (1983), 137–139 | DOI | MR | Zbl

[2] V. A. Kaimanovich, A. M. Vershik, “Random walks on discrete groups: boundary and entropy”, Ann. Probab., 11:3 (1983), 457–490 | DOI | MR | Zbl

[3] A. M. Vershik, S. V. Kerov, “Asymptotics of the Plancherel measure of the symmetric group and the limiting form of Young tableaux”, Soviet Math. Dokl., 18 (1977), 527–531 | MR | Zbl

[4] A. M. Vershik, A. A. Shmidt, “Limiting measures arising in the asymptotic theory of symmetric groups. I”, Theory Probab. Appl., 22:1 (1977), 70–85 | DOI | MR | Zbl

[5] A. M. Vershik, A. A. Shmidt, “Limit measures arising in the asymptotic theory of symmetric groups. II”, Theory Probab. Appl., 23:1 (1978), 36–49 | DOI | MR | Zbl

[6] A. M. Vershik, S. V. Kerov, “Asymptotic of the largest and the typical dimensions of irreducible representations of a symmetric group”, Funct. Anal. Appl., 19:1 (1985), 21–31 | DOI | MR | Zbl

[7] A. M. Vershik, “Statistical mechanics of combinatorial partitions, and their limit shapes”, Funct. Anal. Appl., 30:2 (1996), 90–105 | DOI | DOI | MR | Zbl

[8] A. M. Vershik, “Limit distribution of the energy of a quantum ideal gas from the viewpoint of the theory of partitions of natural numbers”, Russian Math. Surveys, 52:2 (1997), 379–386 | DOI | DOI | MR | Zbl

[9] A. M. Vershik, M. Yor, N. V. Tsilevich, “On the Markov–Krein identity and quasi-invariance of the gamma process”, J. Math. Sci. (N.Y.), 121:3 (2004), 2303–2310 | DOI | MR | Zbl

[10] N. Tsilevich, A. Vershik, M. Yor, “An infinite-dimensional analogue of the Lebesgue measure and distinguished properties of the gamma process”, J. Funct. Anal., 185:1 (2001), 274–296 | DOI | MR | Zbl

[11] A. M. Vershik, “Dynamics of metrics in measure spaces and their asymptotic invariants”, Markov Process. Related Fields, 16:1 (2010), 169–184 | MR | Zbl

[12] A. M. Vershik, G. A. Veprev, P. B. Zatitskii, “Dynamics of metrics in measure spaces and scaling entropy”, Russian Math. Surveys, 78:3 (2023), 443–499 | DOI | DOI | MR | Zbl

[13] A. M. Vershik, M. A. Lifshits, “On $\mathrm{mm}$-entropy of a Banach space with Gaussian measure”, Theory Probab. Appl., 68:3 (2023), 431–439 | DOI | DOI | MR | Zbl