Grigori Iosifovich Olshanski (on his 70th birthday)

A. M. Borodin ; Aleksandr I. Bufetov ; Aleksei I. Bufetov ; A. M. Vershik ; V. E. Gorin ; A. I. Molev ; V. F. Molchanov ; R. S. Ismagilov ; A. A. Kirillov ; M. L. Nazarov ; Yu. A. Neretin ; N. I. Nessonov ; A. Yu. Okounkov ; L. A. Petrov ; S. M. Khoroshkin

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 74 (2019) no. 3, pp. 555-577

Bibliographie

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[34] “Asymptotics of Jack polynomials as the number of variables goes to infinity”, Internat. Math. Res. Notices, 1998:13 (1998), 641–682 (with A. Okounkov) | DOI | MR | Zbl

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[36] “Centralizer construction for twisted Yangians”, Selecta Math. (N. S.), 6:3 (2000), 269–317 (with A. Molev) | DOI | MR | Zbl

[37] “Asymptotics of Plancherel measures for symmetric groups”, J. Amer. Math. Soc., 13:3 (2000), 481–515 (with A. Borodin, A. Okounkov) | DOI | MR | Zbl

[38] “Degenerate affine Hecke algebras and centralizer construction for the symmetric groups”, J. Algebra, 237:1 (2001), 302–341 (with A. I. Molev) | DOI | MR | Zbl

[39] “An introduction to harmonic analysis on the infinite symmetric group”, Asymptotic combinatorics with applications to mathematical physics, Lecture Notes in Math., 1815, Springer, Berlin, 2003, 127–160 | DOI | MR | Zbl

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[41] “Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes”, Ann. of Math. (2), 161:3 (2005), 1319–1422 (with A. Borodin) | DOI | MR | Zbl

[42] “Markov processes on partitions”, Probab. Theory Related Fields, 135:1 (2006), 84–152 (with A. Borodin) | DOI | MR | Zbl

[43] “Limits of $BC$-type orthogonal polynomials as the number of variables goes to infinity”, Jack, Hall–Littlewood and Macdonald polynomials, Contemp. Math., 417, Amer. Math. Soc., Providence, RI, 2006, 281–318 (with A. Okounkov) | DOI | MR | Zbl

[44] “Asymptotics of Plancherel-type random partitions”, J. Algebra, 313:1 (2007), 40–60 (with A. Borodin) | DOI | MR | Zbl

[45] “Difference operators and determinantal point processes”, Funct. Anal. Appl., 42:4 (2008), 317–329 | DOI | DOI | MR | Zbl

[46] “Infinite-dimensional diffusions as limits of random walks on partitions”, Probab. Theory Related Fields, 144:1-2 (2009), 281–318 (with A. Borodin) | DOI | MR | Zbl

[47] “A $q$-analogue of de Finetti's theorem”, Electron. J. Combin., 16:1 (2009), R78 (with A. Gnedin), 16 pp. | DOI | MR | Zbl

[48] “$q$-exchangeability via quasi-invariance”, Ann. Probab., 38:6 (2010), 2103–2135 (with A. Gnedin) | DOI | MR | Zbl

[49] “The quasi-invariance property for the Gamma kernel determinantal measure”, Adv. Math., 226:3 (2011), 2305–2350 | DOI | MR | Zbl

[50] “Markov processes on the path space of the Gelfand–Tsetlin graph and on its boundary”, J. Funct. Anal., 263:1 (2012), 248–303 (with A. Borodin) | DOI | MR | Zbl

[51] “The boundary of the Gelfand–Tsetlin graph: a new approach”, Adv. Math., 230:4-6 (2012), 1738–1779 (with A. Borodin) | DOI | MR | Zbl

[52] “A quantization of the harmonic analysis on the infinite-dimensional unitary group”, J. Funct. Anal., 270:1 (2016), 375–418 (with V. Gorin) | DOI | MR | Zbl

[53] Representations of the infinite symmetric groups, Cambridge Stud. Adv. Math., 160, Cambridge Univ. Press, Cambridge, 2016 (with A. Borodin), vii+160 pp. | DOI | MR | Zbl

[54] “The ASEP and determinantal point processes”, Comm. Math. Phys., 353:2 (2017), 853–903 (with A. Borodin) | DOI | MR | Zbl

[55] “An analogue of the big $q$-Jacobi polynomials in the algebra of symmetric functions”, Funct. Anal. Appl., 51:3 (2017), 204–220 | DOI | DOI | MR | Zbl

[56] Elements of the q-Askey scheme in the algebra of symmetric functions, 2018 (with C. Cuenca), 53 pp., arXiv: 1808.06179

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