Submitted
- Limit theorems for discounted convergent perpetuities II (with A. Iksanov and A. Nikitin), submitted.
- Solutions of kinetic-type equations with perturbed collisions (with D. Buraczewski and P. Dyszewski), submitted.
- Mod-phi convergence of Stirling distributions and limit theorems for zeros of their generating functions (with Z. Kabluchko and H. Pitters), submitted.
- Limit theorems for random Dirichlet series (with D. Buraczewski, C. Dong and A. Iksanov), submitted.
- Random walk in the high-dimensional limit I (with Z. Kabluchko), submitted.
2023
- Stable fluctuations of iterated perturbed random walks in intermediate generations of a general branching process tree (with B. Rashytov and A. Iksanov), Lithuanian Mathematical Journal, to appear.
- Generalised convexity with respect to families of affine maps (with Z. Kabluchko and I. Molchanov), Israel Journal of Mathematics, to appear.
2022
- Renewal theory for iterated perturbed random walks on a general branching process tree: intermediate generations (with V.Bogun, A. Iksanov and B. Rashytov), Journal of Applied Probability, 59, no. 2, 421-446.
- Facial structure of strongly convex sets generated by random samples (with I. Molchanov), Advances in Mathematics, 395, 108086.
- On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking II (with A. Iksanov and I. Samoilenko), Stochastics, 94, no. 7, 1077-1101.
- Central limit theorem for the least common multiple of a uniformly sampled m-tuple of integers (with D. Buraczewski and A. Iksanov), Journal of Number Theory, 233, 301-336.
- Random walks with sticky barriers (with V. Bohun), Modern Stochastics: Theory and Applications, 9, no. 3, 245-263.
- Asymptotics of arithmetic functions of GCD and LCM of random integers in hyperbolic regions (with A. Iksanov and K. Raschel), Results in Mathematics, 77, article no. 165.
- Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks (with Z. Kabluchko), Probability Theory and Related Fields, to appear.
2021
- Sieving random iterative function systems (with I. Molchanov), Bernoulli, 27, no. 1, 34-65 (link to the official journal homepage).
- Moderate parts in regenerative compositions: the case of regular variation (with D. Buraczewski and B. Dovgay), Journal of Mathematical Analysis and Applications, 497, no. 1, 124894.
- A fundamental problem of hypothesis testing with finite inventory in e-commerce (with D. Bohle and M. Meiners), Applied Stochastic Models in Business and Industry, 37, 454-474.
- On the local time of a recurrent random walk on Z^2 (with V. Bohun), Theory of Probability and Mathematical Statistics, 105, 69-78.
2020
- Random walks in a strongly sparse random environment (with D. Buraczewski, P. Dyszewski, A. Iksanov), Stochastic Processes and their Applications, 130, no. 7, 3990-4027.
- Self-similar solutions of kinetic-type equations: the boundary case (with D. Buraczewski and K. Bogus), Stochastic Processes and their Applications, 130, no. 2, 677–693.
- The laws of iterated and triple logarithms for extreme values of regenerative processes (with I. Matsak), Modern Stochastics: Theory and Applications, 7, no. 1, 61-78.
- How long is the convex minorant of a one-dimensional random walk? (with G. Alsmeyer, Z. Kabluchko and V. Vysotsky), Electronic Journal of Probability, 25, paper no. 105.
- Stationary limits of renewal shot noise processes (with G. Verovkin), Theory of Probability and Mathematical Statistics, 101, 67-83. Ukrainian version.
2019
- Cones generated by random points on half-spheres and convex hulls of Poisson point processes (with Z. Kabluchko, D. Temesvari and C. Thäle), Probability Theory and Related Fields, 170, no. 3, 1021-1061.
- Limit theorems for the least common multiple of a random set of integers (with G. Alsmeyer and Z. Kabluchko), Transactions of the American Mathematical Society, 372, no. 7, 4585–4603.
- On the least common multiple of several random integers (with A. Bostan and K. Raschel), Journal of Number Theory, 204, 113-133.
- Random walks in a moderately sparse random environment (with D. Buraczewski, P. Dyszewski, A. Iksanov and A. Roitershtein), Electronic Journal of Probability, 24, paper no. 69.
2018
- On perpetuities with gamma-like tails (with D. Buraczewski, P. Dyszewski and A. Iksanov), Journal of Applied Probability, 55, no. 2, 368-389.
- The collision spectrum of Lambda-coalescents (with A.Gnedin, A. Iksanov and M. Moehle), Annals of Applied Probability, 28, no. 6, 3857-3883 (link to the official journal homepage).
2017
- A leader-election procedure using records (with G. Alsmeyer and Z. Kabluchko), Annals of Probability, 45, no, 6B, 4348-4388.
- Asymptotics of random processes with immigration I: scaling limits (with A. Iksanov and M. Meiners), Bernoulli, 23, no. 2, 1233-1278 (link to the official journal homepage).
- Asymptotics of random processes with immigration II: convergence to stationarity (with A. Iksanov and M. Meiners), Bernoulli, 23, no. 2, 1279-1298 (link to the official journal homepage).
- Fractionally integrated inverse stable subordinators (with A. Iksanov, Z. Kabluchko and G. Shevchenko), Stochastic Processes and their Applications, 127, no. 1, 80-106.
- Functional limit theorems for the number of occupied boxes in the Bernoulli sieve (with G. Alsmeyer and A. Iksanov), Stochastic Processes and their Applications, 127, no. 3, 995-1017.
- General Edgeworth expansions with applications to profiles of random trees (with Z. Kabluchko and H. Sulzbach), Annals of Applied Probability, 27, no. 6, 3478-3524. An extended preprint version (46 pages) is available here.
- A functional limit theorem for random processes with immigration in the case of heavy tails (with G. Verovkin), Modern Stochastics: Theory and Applications, 4, no. 2, 93-108.
2016
- Leader election using random walks (with G. Alsmeyer and Z. Kabluchko), ALEA – Latin American Journal of Probability and Statistics, 13, 1095-1122.
- Renewal approximation for the absorption time of a decreasing Markov chain (with G. Alsmeyer), Journal of Applied Probability, 53(3), 765-782.
- Weak convergence of renewal shot noise processes in the case of slowly varying normalization (with A. Iksanov and Z. Kabluchko), Statistics and Probability Letters, 114, 67-77.
- Moment convergence of first-passage times in renewal theory (with A. Iksanov and M. Meiners), Statistics and Probability Letters, 119, 134-143.
- Renewal shot noise processes in the case of slowly varying tails (with Z. Kabluchko), Theory of Stochastic Processes, 21(37), 14-21.
- Local universality for real roots of random trigonometric polynomials (with A. Iksanov and Z. Kabluchko), Electronic Journal of Probability, no 68, 1-19.
- Mode and Edgeworth expansion for the Ewens distribution (with Z. Kabluchko and H. Sulzbach),
Journal of Integer Sequences, 19, Article 16.8.8
2015
- Weak convergence of finite-dimensional distributions of the number of empty boxes in the Bernoulli sieve (with A. Iksanov and V. Vatutin), Theory of Probability and its Applications, 59, 87-113 (this is an English translation of the item 2 in 2014 year).
- Optimal doubling strategies in backgammon (with S. Dotsenko), Contributions to Game Theory and Management, 8, 33–46.
- A note on convergence to stationarity of random processes with immigration, Theory of Stochastic Processes, 20(36), 84-100.
2014
- Weak convergence of the number of zero increments in the random walk with barrier (with G. Verovkin), Electronic Communications in Probability, 19, Article #74, 1-12.
- Finite-dimensional convergence of the number of empty boxes in the Bernoulli sieve (with A. Iksanov and V. Vatutin), Teor. Veroyatnost. i Primenen., 59, no. 1, 28-60.
- Limit theorems for renewal shot noise processes with eventually decreasing response functions (with A. Iksanov and M. Meiners), Stochastic Processes and their Applications, 124, no.6, 2132-2170. An extended preprint version (57 pages) is available here.
- On asymptotics of the beta-coalescents (with A. Gnedin, A. Iksanov and M. Moehle), Advances in Applied Probability, 46, no. 2, 496-515.
- Lambda-coalescents: a survey (with A. Gnedin and A. Iksanov), Journal of Applied Probability, Special Volume 51A, 23-40.
- Hint, extortion, and guessing games in the best choice problem (with S. Dotsenko), Cybernetics and Systems Analysis, 50, no. 3, 419-425.
- Birth defects on Chernobyl radionuclide polluted territories (with O. I. Timchenko, O.V. Linchak, O.V. Protsiuk, E.A. Pol’ka and Iu.V. Benedichuk), Radiatsionnaia Biologiia, Radioecologiia, 54, no. 5, 507-521.
2013
- Censorship game in optimal choice problem (with S. Dotsenko), Cybernetics and Systems Analysis, 49, no. 5, 749-755.
2012
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- Exponential-uniform identities related to records (with A. Gnedin), Electronic Communications in Probability, 17, Article #26, 1-5.
- A Generalization of the Erdős–Turán Law for the Order of Random Permutation (with A. Gnedin and A. Iksanov), Combinatorics, Probability and Computing, 21, no. 5, 715-733.
2011
- Asymptotic behavior of moments of random recursive sequences (in Ukrainian), Reports of National Academy of Sciences of Ukraine, 3, 23-27.
- Lambda-coalescents with dust component (with A. Gnedin and A. Iksanov), Journal of Applied Probability, 48, no. 4, 1133-1151.
2010
- On the asymptotics of moments of linear random recurrences, Theory of Stochasctic Processes, 16(32), no. 2,106–119.
- Limit theorems for the number of occupied boxes in the Bernoulli sieve (with A.Gnedin and A. Iksanov), Theory of Stochastic Processes, 16(32), no.2, 44-57.
- Asymptotic behavior of absorption time of decreasing Markov chains, Bulletin of Taras Shevchenko National University of Kyiv, 1, 118-121.
- The Bernoulli sieve: an overview (with A.Gnedin and A. Iksanov), Discrete Mathematics and Theoretical Computer Science, Proceedings Series, AM, 329-342.
2009
- On the number of collisions in beta(2,b)-coalescents (with A. Iksanov and M. Moehle), Bernoulli, 15, no. 3, 829-845.
2008
- A note on non-regular martingales (with A. Iksanov), Statistics and Probability Letters, 78, 17, 3014–3017.
- Some applications of the Gnedenko-Korolyuk method to empirical distributions (with E. Lutsenko and I. Matsak), Theory of Probability and Mathematical Statistics, 78, 133-146.