rus eng
rus eng
32 (c A. A. Мотыко и Н. А. Обуховой) Метод синтеза оптимизированных таблиц поиска для цветовых преобразований. Информационно-управляющие системы. 2025, 1, стр. 9-22.
31 Рост случайных разбиений путем добавления частей: случай степенных весов. Записки научных семинаров ПОМИ, т. 535, 2024, 227–306. English transl. to appear in J. Math. Sci.
30 Growing integer partitions with uniform marginals and the equivalence of partition ensembles. Advances in Mathematics, vol. 457, 2024, 109908, doi:10.1016/j.aim.2024.109908
29 (with O.V. Rusakov and M.B. Laskin) A stochastic model of information channels with random loads and random intensities: The Pseudo-Poisson type random processes approach. AIP Conference Proceedings. 2700, 1, March 2023.
28 Моменты случайных разбиений целых чисел. Записки научных семинаров ПОМИ, т. 525, 2023. English transl. to appear in J. Math. Sci.
27 (with O. Rusakov and A. Gushchin) Functional Limit Theorem for the Sums of PSI-Processes with Random Intensities , Mathematics. vol.10, no.21, November 2022, 3955. doi:10.3390/math10213955
26 (with O. Rusakov) Poisson processes directed by subordinators, stuttering poisson and pseudo-poisson processes, with applications to actuarial mathematics. Journal of Physics: Conference Series. 2131, 2, December 2021, 022107. doi:10.1088/1742-6596/2131/2/022107
25 (with O. Rusakov) О спектральных свойствах стационарных случайных процессов, связанных специальной рандомизацией времени. Zapiski Nauchnykh Seminarov POMI, Vol. 501, 2021, pp. 315–334 (in Russian). English transl.: On spectral properties of stationary random processes connected by a special random time change. Journal of Mathematical Sciences (United States). 273, 5, 30 June 2023, pp. 871–883. doi:10.1007/s10958-023-06548-1
24 A simple proof of the Lévy–Khintchine formula for subordinators. Statistics & Probability Letters, vol. 176, September 2021, 109156. doi:10.1016/j.spl.2021.109136
23 (with O. Rusakov and B. Baev) On Some Local Asymptotic Properties of Sequences with a Random Index. English transl. in Vestnik St. Petersburg University, Mathematics, 2020, Vol. 53, No. 3, pp. 308–319. https://rdcu.be/b6E6K
22 (with O. Rusakov and M. Laskin) Self-Similarity for Information Flows With a Random Load Free on Distribution: the Long Memory Case. 2018 2nd European Conference on Electrical Engineering and Computer Science (EECS), Bern, Switzerland, 2018, pp. 183-189, doi:10.1109/EECS.2018.00042.
21 (with J. Pitman) Gaps and interleaving of point processes in sampling from a residual allocation model. Bernoulli 25, no. 4B (2019), 3623–3651. doi:10.3150/19-BEJ1104
20 (with L. Bogachev) Limit Shape of Minimal Difference Partitions and Fractional Statistics. Commun. Math. Phys. (2019). doi:10.1007/s00220-019-03513-5
19 (with J. Pitman) Ordered and size-biased frequencies in GEM and Gibbs’ models for species sampling, Annals of Applied Probability, vol. 28, no. 3 (2018), 1793–1820.
18 (with J. Pitman) An ergodic theorem for partially exchangeable random partitions, Electronic Communications in Probability, Volume 22 (2017), paper no. 64, 10 pp.
17 (with J. Pitman) Extremes and gaps in sampling from a GEM random discrete distribution. Electron. J. Probab. 22 (2017), Paper No. 44, 26 pp.
16 (with D. Krachun) On random partitions induced by random maps. Zapiski Nauchnykh Seminarov POMI, Vol. 454, 2016, pp. 195–215 (in Russian). English transl. in Journal of Mathematical Sciences, Vol. 229, No. 6, March, 2018, 727-740.
15 On descents after maximal values in samples of discrete random variables. Statistics & Probability Letters, vol. 105, October 2015, 203–208.
14 Ergodicity of multiplicative statistics. Journal of Combinatorial Theory, Series A, vol. 119 (2012), 1250–1279.
13 (with L. V. Bogachev and A. V. Gnedin) On the variance of the number of occupied boxes. Advances in Applied Mathematics, vol. 40, Issue 4, May 2008, Pages 401-432.
12 (with A. Gnedin) On the number of collisions in Lambda-coalescents. Electronic Journal of Probability, vol. 12 (2007), paper 56, 1547-1567 (electronic).
11 (with A. V. Gnedin) Recursive partition structures. The Annals of Probability, vol. 34, no. 6 (2006), 2203-2218.
10 Integer Partitions with Fixed Subsums. Electronic Journal of Combinatorics, vol. 12 (2005), paper N7, 6pp (electronic).
9 (with A. Vershik) Fluctuations of the Maximal Particle Energy of the Quantum Ideal Gas and Random Partitions. Communications in Mathematical Physics, vol. 261, no. 3 (2005), 759-769.
8 On the coincidence of limit shapes for integer partitions, compositions,and slicing of Young diagrams. Zapiski Nauchnykh Seminarov POMI, Vol. 307, 2004, pp. 266-280 (in Russian). English transl. in Journal of Mathematical Sciences, vol. 131, no. 2 (2005), 5569-5577.
7 (with A. Vershik) Asymptotics of the Uniform Measures on Simplices and Random Compositions and Partitions. Funktsionalnyi Analiz i Ego Prilozheniya, Vol. 37, No. 4 (2003), 39-48 (in Russian). English transl. in Functional Analysis and Its Applications, Vol. 37, No. 4 (2003), 273-280.
6 (with A. Vershik) The Limit Shape and Fluctuations of Random Partitions of Naturals with Fixed Number of Summands Moscow Math. J., Vol. 1 (2001), No. 3, 457-468, 472. MR1877604 (2003c:11135)
5 (with A. Vershik) Continuous lattices of partitions and lattices of continuous partitions. Trudy St.Petersburg Math. Soc. 7 (2000), 5-27 (in Russian). English Transl. in Amer. Math. Soc. Transl. Ser. 2 203, 1-15 (2001).
4 (with G.A. Freiman and A. Vershik) A local limit theorem for random partitions of natural numbers. Teor. Verojatn. i ee Primenenija 44 (1999) issue~3, 506--525 (in Russian). English Transl. in Theory Probab. Appl. 44, No.3, 453-468 (2000).
3 Central limit theorem for random strict partitions. Zapiski Nauchnyh Seminarov POMI. "Representation Theory, Dynamical Systems, Combinatorial and Algorithmic Methods" Vol. 256 (1999), 212-223 (in Russian). English Transl. in Journal of Mathematical Sciences 107, no. 5 (2001), 4296-4304.
2 Symmetric multiplicative statistics. Zapiski Nauchnyh Seminarov POMI. "Representation Theory, Dynamical Systems, Combinatorial and Algorithmic Methods" Vol. 240, 1997, 280-289 (in Russian). English Transl. in Journal of Mathematical Sciences 96, no. 5 (1999), 3624-3629.
1 Asymptotics of random partitions of a set. Zapiski Nauchnyh Seminarov POMI. "Representation Theory, Dynamical Systems, Combinatorial and Algorithmic Methods" Vol. 223 (1995), 227-250 (in Russian). English Transl. in Journal of Mathematical Sciences 87, no. 6 (1997), 4124-4137.
Препринты некоторых последних публикаций можно найти в arXiv'е.
Также можно посмотреть мои профили Yuri Yakubovich on ResearchGate и Yuri Yakubovich on Google Scholar.
1 (совм. с М.А. Ивановым) Введение в комбинаторику. Теория и задачи.
Учебное пособие. Изд. СПбГУ, 2018. 136 стр. ISBN: 978-5-288-05792-2