Vershik A., Yakubovich Yu., “The Limit Shape and Fluctuations of Random
Partitions of Naturals with Fixed Number of Summands”, Moscow Math. J., 1:3 (2001), 457–468
Gnedin A., Yakubovich Yu., “Recursive partition structures.”, Annals of Probability, 34:6 (2006), 2203–2218
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)”, Teor. Veroyatnost. i Primenen., 69:2 (2024), 417–422; Theory Probab. Appl., 69:2 (2024), 331–335
2023
2.
Yu. V. Yakubovich, “Moments of random integer partitions”, Zap. Nauchn. Sem. POMI, 525 (2023), 161–183
2022
3.
Yuri Yakubovich, Oleg Rusakov, Alexander Gushchin, “Functional limit theorem for the sums of PSI-processes with random intensities”, Mathematics, 10:21 (2022), 3955–17
Yu. V. Yakubovich, O. V. Rusakov, “On spectral properties of stationary random processes connected by a special random time change”, Zap. Nauchn. Sem. POMI, 501 (2021), 315–334
2020
5.
O. V. Rusakov, Yu. V. Yakubovich, B. A. Baev, “On some local asymptotic properties of sequences with a random index”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:3 (2020), 453–468; Vestn. St. Petersbg. Univ., Math., 7:3 (2020), 308–319
D. Krachun, Yu. Yakubovich, “Random partitions induced by random maps”, Zap. Nauchn. Sem. POMI, 454 (2016), 195–215; J. Math. Sci. (N. Y.), 229:6 (2018), 727–740
2004
7.
Yu. V. Yakubovich, “On the coincidence of limit shapes for integer partitions and compositions, and a slicing of Young diagrams”, Zap. Nauchn. Sem. POMI, 307 (2004), 266–280; J. Math. Sci. (N. Y.), 131:2 (2005), 5569–5577
A. M. Vershik, Yu. V. Yakubovich, “Asymptotics of the Uniform Measures on Simplices and Random Compositions and Partitions”, Funktsional. Anal. i Prilozhen., 37:4 (2003), 39–48; Funct. Anal. Appl., 37:4 (2003), 273–280
A. M. Vershik, Yu. V. Yakubovich, “The limit shape and fluctuations of random partitions of naturals with fixed number of summands”, Mosc. Math. J., 1:3 (2001), 457–468
A. M. Vershik, G. A. Freiman, Yu. V. Yakubovich, “A local limit theorem for random strict partitions”, Teor. Veroyatnost. i Primenen., 44:3 (1999), 506–525; Theory Probab. Appl., 44:3 (2000), 453–468
Yu. V. Yakubovich, “Central limit theorem for random strict partition”, Zap. Nauchn. Sem. POMI, 256 (1999), 212–223; J. Math. Sci. (New York), 107:5 (2001), 4296–4304
Yu. V. Yakubovich, “Symmetric multiplicative statistics”, Zap. Nauchn. Sem. POMI, 240 (1997), 280–289; J. Math. Sci. (New York), 96:5 (1999), 3624–3629
1995
13.
Yu. V. Yakubovich, “Asymptotics of random partitions of a set”, Zap. Nauchn. Sem. POMI, 223 (1995), 227–250; J. Math. Sci. (New York), 87:6 (1997), 4124–4137
V. M. Buchstaber, M. I. Gordin, I. A. Ibragimov, V. A. Kaimanovich, A. A. Kirillov, A. A. Lodkin, S. P. Novikov, A. Yu. Okounkov, G. I. Olshanski, F. V. Petrov, Ya. G. Sinai, L. D. Faddeev, S. V. Fomin, N. V. Tsilevich, Yu. V. Yakubovich, “Anatolii Moiseevich Vershik (on his 80th birthday)”, Uspekhi Mat. Nauk, 69:1(415) (2014), 173–186; Russian Math. Surveys, 69:1 (2014), 165–179
Presentations in Math-Net.Ru
1.
Моменты случайных разбиений Yu. V. Yakubovich Seminar on Probability Theory and Mathematical Statistics December 1, 2023 18:00
2.
Moments of random partitions Yu. V. Yakubovich St. Petersburg Seminar on Representation Theory and Dynamical Systems October 25, 2023 16:00
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