Poisson–Dirichlet distributions,
infinite-dimensional diffusion processes,
Markov dynamics on point configurations,
projective representations of symmetric groups.
L. A. Petrov, “Two-Parameter Family of Infinite-Dimensional Diffusions on the Kingman Simplex”, Funkts. Anal. Prilozh., 43:4 (2009), 45–66; Funct. Anal. Appl., 43:4 (2009), 279–296
Leonid Petrov, “The boundary of the Gelfand–Tsetlin graph: new proof of Borodin–Olshanski's formula, and its $q$-analogue”, Mosc. Math. J., 14:1 (2014), 121–160
L. A. Petrov, “Two-Parameter Family of Infinite-Dimensional Diffusions on the Kingman Simplex”, Funktsional. Anal. i Prilozhen., 43:4 (2009), 45–66; Funct. Anal. Appl., 43:4 (2009), 279–296
L. A. Petrov, “Limit behaviour of certain random walks on strict partitions”, Uspekhi Mat. Nauk, 64:6(390) (2009), 177–178; Russian Math. Surveys, 64:6 (2009), 1139–1141
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, “Grigori Iosifovich Olshanski (on his 70th birthday)”, Uspekhi Mat. Nauk, 74:3(447) (2019), 193–213; Russian Math. Surveys, 74:3 (2019), 555–577
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