Публікації у рамках виконання проєкту

1 етап 2020 року (02.10.2020 – 31.12.2020):
  1. V. Bohun, A. Iksanov, A. Marynych, B. Rashytov. (2022) Renewal theory for iterated perturbed random walks on a general branching process tree: intermediate generations, Journal of Applied Probability, 59, 421-446.
  2. A. Iksanov, A. Marynych, I. Samoilenko. (2022) On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking II, Stochastics, 94, 1077-1101.
1 етап 2021 року (01.05.2021 – 31.08.2021):
  1. V. Bogdanskii, I. Pavlyukevich, A. Pilipenko. (2022) Limit behaviour of random walks on Z^m with two-sided membrane, ESAIM: Probability and Statistics, 26, 352-377.
  2. V. Bohun. (2021) Probabilistic analysis of vantage point trees, Modern Stochastics: Theory and Applications, 8,  413-434.
  3. V. Bohun, A. Marynych. (2021) On the local time of a recurrent random walk on Z^2, Theory of Probability and Mathematical Statistics, 105, 69-78.
  4. A. Iksanov, Z. Kabluchko, V. Kotelnikova. (2022) A functional limit theorem for nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions, Journal of Mathematical Analysis and Applications, 507, no. 2, 125798.
  5. A. Iksanov, A. Pilipenko, B. Povar. (2023) Functional limit theorems for random walks perturbed by positive alpha-stable jumps, Bernoulli, 29, 1638-1662.
  6. A. Iksanov, B. Rashytov, I. Samoilenko (2023). Renewal theory for iterated perturbed random walks on a general branching process tree: early generations, Journal of Applied Probability, 60, 45-67.
  7. Z. Kabluchko, A. Marynych. (2022) Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks, Probability Theory and Related Fields, 184, 969-1028.
2 етап 2021 року (01.09.2021 – 31.12.2021):
  1. V. Bohun, A. Marynych. (2022) Random walks with sticky barriers, Modern Stochastics: Theory and Applications, 9, 245–263
  2. A. Iksanov, O. Kondratenko. (2021) Functional limit theorems for discounted exponential functional of random walk and discounted convergent perpetuity, Statistics and Probability Letters, 176, 109148.
  3. A. Iksanov, A. Nikitin, I. Samoilenko. (2021) Limit theorems for discounted convergent perpetuities, Electronic Journal of Probability, 26, no. 131, 1-15.
  4. A. Iksanov, A. Marynych, B. Rashytov. (2022) Stable fluctuations of iterated perturbed random walks in intermediate generations of a general branching process tree, Lithuanian Mathematical Journal, 62, 447–466.
  5. A. Iksanov, A. Pilipenko. (2023) On a skew stable Lévy process, Stochastic Processes and their Applications, 156, 44-68.

2023 рік

1. O. Braganets, A. Iksanov. (2023) A limit theorem for a nested infinite occupancy scheme in random environment, Austrian Journal of Statistics, 52, 1-12.

2. A. Iksanov, A. Marynych, A. Nikitin. (2023). Limit theorems for discounted convergent perpetuities II, Electronic Journal of Probability, 28, article no. 15, 1-22.