Публікації викладачів кафедри

Монографії:

  1. A. Iksanov. Renewal theory for perturbed random walks and similar processes. Probability and its Applications, Birkhäuser, 2016.
  2. Я.М. Чабанюк, А.В. Нікітін, У.Т. Хімка. Асимптотичні властивості еволюційних систем з марковськими переключеннями з використанням апроксимаційних схем. Wydawnictwo Politechniki Lubelskiej, Lublin, 2018.
  3. І.В. Самойленко, А.В. Нікітін.  Аналіз асимптотичних властивостей еволюційних рівнянь з випадковим впливом в умовах пуассонової апроксимації. Київ, 2020.
  4. Y.Chabanyuk, A.Nikitin, U.Khimka. Asymptotic analyses for complex evolutionary systems with Markov and semi-Markov switching using approximation schemes. Wiley-ISTE, 2020.
  5. D. Koroliouk, I. Samoilenko. Random evolutionary systems: asymptotic properties and large deviations. Wiley-ISTE, 2021.
  6. D. Koroliouk, I. Samoilenko. Asymptotic and analytic methods in stochastic evolutionary systems, Wiley-ISTE, 2023
  7. A. Iksanov, A. Marynych, A. Pilipenko, I. Samoilenko. Locally perturbed random walks, прийнята до друку у Birkhäuser, 2024+.

Препринти:

  1. O. Braganets, A. Iksanov. On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking: the case of heavy tails, подана до друку, 25 сторінок.
  2. D. Buraczewski, A. Iksanov, V. Kotelnikova. Laws of the iterated and single logarithm for sums of independent indicators, with applications to the Ginibre point process and Karlin’s occupancy scheme, подана до друку, 46 сторінок.
  3. D. Buraczewski, A. Iksanov, A. Marynych. Convolution powers of unbounded measures on the positive half-life, подана до друку, 21 сторінка.
  4. B. Dovhai. Simulation of solution of hyperbolic equations with Orlicz right side, подана до друку, 10 сторінок.
  5. C. Dong, A. Iksanov, A. Pilipenko. On a discrete approximation of a skew stable Lévy process, подана до друку, 23 сторінки.
  6. C. Dong, A. Marynych, I. Molchanov. Set-valued recursions arising from vantage-point trees, подана до друку, 15 сторінок.
  7. A. Iksanov. A comment on the article `The harmonic descent chain’ by D.J. Aldous, S. Janson and X. Li, подана до друку, 3 сторінки.
  8. A. Iksanov, Z. Kabluchko, V. Kotelnikova. A law of the iterated logarithm for iterated random walks, with application to random recursive trees, подана до друку, 16 сторінок.
  9. A. Iksanov, Z. Kabluchko, A. Marynych, V. Wachtel. Multinomial random combinatorial structures and r-versions of Stirling, Eulerian and Lah numbers, подана до друку, 53 сторінки.
  10. A. Iksanov, R. Kostohryz. Limit theorems for random Dirichlet series: boundary case, подана до друку, 21 сторінка.
  11. S. Primak, A. Zavorotynskyi. Forecasting the success of sports activity of biathletes of different qualifications, подана до друку, 10 сторінок.

Публікації 2024 року:

  1. K.S. Akbash, I.K. Matsak. About the residual time of human life, Austrian Journal of Statistics, 53, 64-84.
  2. K.S. Akbash, N.V. Doronina, I.K. Matsak. On extreme values of the queue length in some queuing systems, Georgian Mathematical Journal, 31,  no. 1, 1-16.
  3. G. Alsmeyer, A. Iksanov, Z. Kabluchko. On decoupled standard random walks, Journal of Theoretical Probability, у друці.
  4. Z. Derbazi, A. Gnedin, A. Marynych. Records in the infinite occupancy scheme, ALEA – Latin American Journal of Probability and Statistics, 21, 1475-1493.
  5. C. Dong, A. Iksanov, A. Pilipenko. On multidimensional locally perturbed standard random walks, Lithuanian Mathematical Journal, 64, no. 3, 287-301.
  6. A. Iksanov, W. Jedidi. A law of the iterated logarithm for the number of blocks in regenerative compositions generated by gamma-like subordinators, Electronic Communications in Probability, 29, article no. 74, 14 pp.
  7. A. Iksanov, K. Kolesko, M. Meiners. Asymptotic fluctuations in supercritical Crump-Mode-Jagers processes, Annals of Probability,52, no. 4, 1538-1606.
  8. A. Iksanov, V. Kotelnikova. A law of the iterated logarithm for small counts in Karlin’s occupancy scheme, Modern Stochastics: Theory and Applications, 11, no. 2, 217-245.
  9. A. Iksanov, V. Wachtel. Precise tail behavior of some Dirichlet series, Journal of Theoretical Probability, 37, 2704-2737.
  10. Z. Kabluchko, A. Marynych, H. Pitters. Mod-phi convergence of Stirling distributions and limit theorem for zeros of their generating functions, Journal of Mathematical Analysis and Applications, 529, no. 1, 127571.
  11. Z. Kabluchko, A. Marynych. Random walks in the high-dimensional limit I: The Wiener Spiral, Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques, 60, no. 4, 2945-2974.
  12. Z. Kabluchko, A. Marynych, K. Raschel. Random walks in the high-dimensional limit II: The Crinkled Subordinator, Stochastic Processes and Applications, 176, 104428.
  13. Z. Kabluchko, A. Marynych. Divisibility properties of polynomial expressions of random integers, Journal of Number Theory, 259, 357-377.
  14. Z. Kabluchko, A. Marynych, I. Molchanov. Generalised convexity with respect to families of affine maps, Israel Journal of Mathematics, у друці.
  15. V. Bohdanskyi, V. Bohun, A. Marynych, I. Samoilenko. Arithmetic properties of multiplicative integer-valued perturbed random walks, Modern Stochastics: Theory and Applications, 11, no. 2, 133-148.

Публікації 2023 року:

  1. K.S. Akbash, N.V. Doronina, I.K. Matsak. Estimates of the convergence rate in a limit theorem for geometric sums and some of their applications, Lithuanian Mathematical Journal, 63, no. 2, 117-137.
  2. K. Akbash, I. Matsak. Asymptotic behavior of extreme values of random variables and some stochastic processes, In: Stochastic Processes: Fundamentals and Emerging Applications, Editor: M. Moklyachuk, Nova Science Publishers, Inc., Chapter 1, 1-35.
  3. G. Alsmeyer, A. Iksanov. Recurrence and transience of random difference equations in the critical case, Annales de l’Institut Henri Poincare, Probabilites et Statistiques, 59, no. 2, 606-620 (link to the official journal homepage).
  4. O. Braganets, A. Iksanov. A limit theorem for a nested infinite occupancy scheme in random environment, Austrian Journal of Statistics, 52, 1-12.
  5. D. Buraczewski, C. Dong, A. Iksanov, A. Marynych. Limit theorem for random Dirichlet series, Stochastic Processes and their Applications, 165, 246-274.
  6. D. Buraczewski, C. Dong, A. Iksanov, A. Marynych. Critical branching processes in a sparse random environment, Modern Stochastics: Theory and Applications, 10, no. 4, 397-411.
  7. D. Buraczewski, A. Marynych, P. Dyszewski. Solutions of kinetic-type equations with perturbed collisions, Stochastic Processes and Their Applications, 159, 199–224.
  8.  C. Dong, A. Marynych, V. Melnykov. Random sieves and generalized leader-election procedures, Austrian Journal of Statistics, 52, 13-25.
  9. A. Iksanov, A. Marynych, A. Nikitin. Limit theorems for discounted convergent perpetuities II, Electronic Journal of Probability, 28, article no. 15, 1-22.
  10. A. Iksanov, A. Pilipenko. On a skew stable Lévy process, Stochastic Processes and their Applications, 156, 44-68.
  11. A. Iksanov, A. Pilipenko, B. Povar. Functional limit theorems for random walks perturbed by positive alpha-stable jumps, Bernoulli, 29, no. 2, 1638-1662 (link to the official journal homepage).
  12. A. Iksanov, B. Rashytov, I. Samoilenko. Renewal theory for iterated perturbed random walks on a general branching process tree: early generations, Journal of Applied Probability, 60, no. 1, 45-67.
  13. J. Jalowy, Z. Kabluchko, M. Löwe, A. Marynych. When does the chaos in the Curie-Weiss model stop to propagate?, Electronic Journal of Probability, 28, paper no. 139.
  14. Z. Kabluchko, A. Marynych, K. Raschel. Multivariate multiplicative functions of uniform random vectors in large integer domain, Results in Mathematics, 78, article no. 201.
  15. I. Samoilenko, G. Verovkina, T. Samoilenko. Analytic solutions of equation for random evolution on a complex plane, Austrian Journal of Statistics, 52, 71-81.

Публікації 2022 року:

  1. S. Bekesiene, I. Samoilenko, A. Nikitin, I. Meidute-Kavaliauskiene. The complex systems for conflict interaction modelling to describe a non-trivial epidemiological situation, Mathematics, 10, no. 4, 537.
  2. V. Bohun, A. Iksanov, A. Marynych, B. Rashytov. Renewal theory for iterated perturbed random walks on a general branching process tree: intermediate generations, Journal of Applied Probability, 59, no. 2, 59, 421-446.
  3. V. Bohun, A. Marynych. Random walks with sticky barriers, Modern Stochastics: Theory and Applications, 9, no. 3, 245–263.
  4. D. Buraczewski, A. Iksanov, A. Marynych. Central limit theorem for the least common multiple of a uniformly sampled m-tuple of integers, Journal of Number Theory, 203, 301-336.
  5. A. Iksanov, Z. Kabluchko, V. Kotelnikova. 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.
  6. A. Iksanov, V. Kotelnikova. Small counts in nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions, Stochastic Processes and their Applications, 153, 283-320.
  7. A. Iksanov, B. Mallein. Late levels of nested occupancy scheme in random environment, Stochastic Models, 38, no. 1, 130-166.
  8. A. Iksanov, A. Marynych, K. Raschel. Asymptotics of arithmetic functions of GCD and LCM of random integers in hyperbolic regions, Results in Mathematics, 77, Article no. 165.
  9. A. Iksanov, A. Marynych, B. Rashytov. Stable fluctuations of iterated perturbed random walks in intermediate generations of a general branching process tree, Lithuanian Mathematical Journal, 62, 447–466.
  10. A. Iksanov, A. Marynych, I. Samoilenko. On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking II, Stochastics, 94, no. 7, 1077-1101.
  11. Z. Kabluchko, A. Marynych. Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks, Probability Theory and Related Fields, 184, no. 3-4, 969-1028.
  12. A. Kuzmin, V. Ostrovskiy, D. Proskurin, M. Weber, R. Yakymiv. On q-tensor product of Cuntz algebras, International Journal of Mathematics, 33, no. 2, 2250017.
  13. A. Marynych, I. Molchanov. Facial structure of strongly convex sets generated by random samples, Advances in Mathematics, 395, 108086.
  14. O. Ostrovska, V. Ostrovskyi, D. Proskurin, Yu. Samoilenko. A class of representations of C*-algebra generated by qij-commuting isometries, Methods of Functional Analysis and Topology, 28, no. 1, 89-94.
  15. V. Ostrovskiy, D. Proskurin, R. Yakymiv. On families of twisted power partial isometries, Carpathian Mathematical Publications, 14, no. 1, 260-265.
  16. O. Zakusylo. Revisiting recurrence criteria of birth and death processes. Short proofs, Theory of Probability and Mathematical Statistics, 107, 185-191.

Публікації 2021 року:

  1. K. Akbash, N. Doronina, I. Matsak.  Asymptotic  behavior of maxima of independent random variables. Discrete case. Lithuanian Mathematical Journal, 61, no. 2, 145-160.
  2. V. Bohun. Probabilistic analysis of vantage point trees, Modern Stochastics: Theory and Applications, 8, no. 4, 413-434.
  3. V. Bohun, A. Marynych. On the local time of a recurrent random walk on Z^2, Theory of Probability and Mathematical Statistics, 105, 69-78.
  4. D. Buraczewski, B. Dovgay, A. Marynych. Moderate parts in regenerative compositions: the case of regular variation, Journal of Mathematical Analysis and Applications, 497, no. 1, 124894.
  5. D. Bohle, A. Marynych and M. Meiners. A fundamental problem of hypothesis testing with finite inventory in e-commerce, Applied Stochastic Models in Business and Industry, 37, 454-474.
  6. D. Buraczewski, A. Iksanov, B. Mallein. On the derivative martingale in a branching random walk, Annals of Probability, 49, no. 3, 1164-1204  (посилання на офіційну сторінку журнала).
  7. A. Iksanov, K. Kolesko, M. Meiners. Gaussian fluctuations and a law of the iterated logarithm for Nerman’s martingale in the supercritical general branching process, Electronic Journal of Probability, 26, paper no. 160, 1-22.
  8. A. Iksanov, O. Kondratenko. Functional limit theorems for discounted exponential functional of random walk and discounted convergent perpetuity, Statistics and Probability Letters, 176, 109148.
  9. A. Iksanov, A. Nikitin, I. Samoilenko. Limit theorems for discounted convergent perpetuities, Electronic Journal of Probability, 26, no. 131, 1-25.
  10. A. Marynych, I. Molchanov. Sieving iterative random functions systems, Bernoulli, 27, no. 1, 34-65 (посилання на офіційну сторінку журнала).
  11. I. K. Matsak.  On the  of extreme values of  the M/M/m queueing systems, Georgian Mathematical Journal, 28, no. 26, 917 – 924.
  12. Samoilenko I., Nikitin A., Verowkina G., Nikitina T. Construction features and analysis of warfare information model with impulse perturbations under poisson approximation conditions (short paper). Proceedings of Selected Papers of the Workshop on Cybersecurity Providing in Information and Telecommunication Systems (CPITS 2021). – Kyiv, Ukraine, January 28, 2021 (online). – 12-17.
  13. Samoilenko  I.V., Nikitin A.V., Verovkina G.V. Peculiarities of Construction and Analysis of the Information Warfare Model with Markov Switchings and Impulse Perturbations Under Levy Approximation Conditions, Cybernetics and Systems Analysis, 57, 621–628.
  14. О.К. Закусило, І.К. Мацак. Гранична теорема для часу першого перетину рівня регенеруючим процесом, Вісник Київського національного університету імені Тараса Шевченка (сер. фіз.-мат. наук), no. 3, 55- 65.
  15. О. Іксанов, Б. Рашитов. Функціональна гранична теорема без центрування для загальних процесів дробового ефекту, Український математичний журнал, 73, no. 2, 160-178. Версія англійською мовою “Functional limit theorem without centering for general shot-noise processes” надрукована у Ukrainian Mathematical Journal, 73, no.2, 181-202.
  16. І.К. Мацак.  Про  екстремальні значення процесів народження та загибелі,  Буковинський математичний журнал, 9, no. 1, 237-249.
  17. І.В. Самойленко, Т.А. Самойленко, Б.В. Довгай. Випадкові еволюції в схемі випадкової апроксимації, Вісник Київського національного університету імені Тараса Шевченка. Серія: фізико-математичні науки, 2021, no. 2, 69-77.

Публікації 2020 року:

  1. G. Alsmeyer, Z. Kabluchko, A. Marynych, V. Vysotsky. How long is the convex minorant of a one-dimensional random walk?, Electronic Journal of Probability, 25, paper no. 105.
  2. K. Bogus, D. Buraczewski, A. Marynych. Self-similar solutions of kinetic-type equation: the boundary case, Stochastic Processes and their Applications, 130, no. 2, 677-693.
  3. D. Buraczewski, A. Iksanov, B. Dovgay. On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking I, Electronic Journal of Probability, 25, paper no. 123.
  4. D. Buraczewski, P. Dyszewski, A. Iksanov, A. Marynych. Random walks in a strongly sparse random environment, Stochastic Processes and their Applications, 130, no. 7, 3990-4027.
  5. A. Daletskii, A. Kalyuzhny, E. Lytvynov, D. Proskurin. Fock representations of multicomponent (particularly plekton) commutation relations, Reviews in Mathematical Physics, 32, no. 5, 2030004.
  6. C. Dong, A. Iksanov. Weak convergence of random processes with immigration at random times, Journal of Applied Probability, 57, no. 1, 250-265.
  7. A. Gnedin, A. Iksanov. On nested infinite occupancy scheme in random environment, Probability Theory and Related Fields, 177, no. 3-4, 855-890.
  8. A. Iksanov, K. Kolesko, M. Meiners. Fluctuations of Biggins’ martingales at complex parameters, Annales de l’Institut Henri Poincare, Probabilites et Statistiques, 56, no. 4, 2445-2479.
  9. A. Iksanov, B. Rashytov. A functional limit theorem for general shot noise processes, Journal of Applied Probability, 57, no. 1, 280-294.
  10. A. Marynych, I. Matsak. The laws of iterated and triple logarithms for extreme values of regenerative processes, Modern Stochastics: Theory and Applications, 7, no. 1, 61-78.
  11. I. Matsak, M. Moklyachuk. On Distributions of One Class of Random Sums and their Applications, Statistics, Optimization & Information Computing, 8, no. 1, 153-164.
  12. I. V. Samoilenko, A. V. Nikitin, B. Dovhai. Asymptotic Dissipativity for Merged Stochastic Evolutionary Systems with Markov Switchings and Impulse Perturbations under Conditions of Lévy Approximation, Cybernetics and Systems Analysis, 56, 392-400.
  13. I. V. Samoilenko, A. V. Nikitin. Double merging of phase space for differential equations with small stochastic supplements under Levy and Poisson approximation conditions, Annals of the University of Craiova, 47, no. 1, 141-157.
  14. О.К. Закусило, І.К. Мацак. Оцінки швидкості збіжності в граничній теоремі для екстремальних значень регенеруючих процесів, Український математичний журнал, 72, no. 8, 1064-1081.
  15. В.І. Рабанович. Зображення ермітової матриці сумою фіксованого числа ортопроекторів, Український математичний журнал, 72,  no. 5, 679-693.

Публікації 2019 року:

  1. S. Albeverio, S. Rabanovich. On a class of unitary representations of braid groups B3 and B4, Bulletin des Sciences Mathématiques, 153, 35-56.
  2. G. Alsmeyer, Z. Kabluchko, A. Marynych. Limit theorems for the least common multiple of a random set of integers, Transactions of the American Mathematical Society, 372, no. 7, 4585-4603.
  3. V. Bogun. Almost sure asymptotic expansions for profiles of simply generated random trees, Theory of Stochastic Processes, 24(40), no. 1, 49-63.
  4. A. Bostan, A. Marynych, K. Raschel. On the least common multiple of several random integers, Journal of Number Theory, 204, 113-133.
  5. D. Buraczewski, P. Dyszewski, A. Iksanov, A. Marynych and A. Roitershtein. Random walks in a moderately sparse random environment, Electronic Journal of Probability, 24, paper no. 69, 44 pp.
  6. Y. Chabanyuk, A. Nikitin, U. Khimka. Asymptotic properties of the impulse perturbation process under Lévy approximation conditions with the point of equilibrium of the quality criterion, Matematychni Studii, 52, no.1, 96-104.
  7. A. Iksanov, K. Kolesko, M. Meiners. Stable-like fluctuations of Biggins’ martingales, Stochastic Processes and their Applications, 129, no. 11, 4480-4499.
  8. A. Iksanov, X. Liang and Q. Liu. On Lp-convergence of the Biggins martingale with complex parameter, Journal of Mathematical Analysis and Applications, 479, 1653-1669.
  9. A. Iksanov, B. Mallein. A result on power moments of Lévy-type perpetuities and its application to the Lp-convergence of Biggins’ martingales in branching Lévy processes, ALEA – Latin American Journal of Probability and Statistics, 16, 315-331.
  10. V. S. Koroliuk, I. V. Samoilenko. A bound for the remainder term in the asymptotic expansion of a functional constructed from a semi-Markov random evolution. Theory of Probability and Mathematical Statistics, 98, 217-227.
  11. I. Matsak. Asymptotic Behavior of Maxima of Independent Random Variables, Lithuanian Mathematical Journal, 59, no. 2, 185-197.
  12. I. V. Samoilenko,  A. V. Nikitin. Double merging of the phase space for stochasticdifferential equations with small additions in Poisson approximation conditions. Cybernetics and System Analysis, 55, no. 2, 265-273.
  13. I.V. Samoilenko, C. Dong, B. Dovgay. Information Warfare Model with Migration, Proceedings of the Second International Workshop on Computer Modeling and Intelligent Systems (CMIS-2019), 428-439.
  14. Z. Kabluchko, A. Marynych, D. Temesvari, C. Thäle. Cones generated by random points on half-spheres and convex hulls of Poisson point processes, Probability Theory and Related Fields, 175, no. 3, 1021-1061.
  15. O. Ostrovska, R. Yakymiv. On isometries satisfying deformed commutation relations, Methods of Functional Analysis and Topology, 25, no. 2, 152-160.
  16. Г. Верьовкін, О. Маринич. Стаціонарні границі процесів дробового ефекту, Теорія ймовірностей і математична статистика, 101, 63-77.
  17. Б.В. Довгай, I.K. Mацак. Асимптотична поведінка екстремальних значень довжини черги в системах масового обслуговування (M/M/m). Кібернетика і системний аналіз, том 55, № 2,  171-179.
  18. І. К. Мацак. Одна гранична теорема для сум незалежних випадкових елементів  у банаховому просторі. Теорія ймовірностей і математична статистика,  100 , с. 131-141.
  19. І. К. Мацак. Гранична теорема для екстремальних значень дискретних випадкових величин та її застосування. Теорія ймовірностей і математична статистика, 101 , с. 189-202.   

Публікації 2018 року:

  1. D. Buraczewski, P. Dyszewski, A. Iksanov, A. Marynych. On perpetuities with gamma-like tails, Journal of Applied Probability, 55, no. 2, 368-389.
  2. A. Iksanov, W. Jedidi, F. Bouzeffour. Functional limit theorems for the number of busy servers in a G/G/∞ queue, Journal of Applied Probability, 55, no. 1, 15-29.
  3. A. Iksanov, Z. Kabluchko. Functional limit theorems for Galton-Watson processes with very active immigration, Stochastic Processes and their Applications, 128, no. 1, 291-305.
  4. A. Iksanov, Z. Kabluchko. A functional limit theorem for the profile of random recursive trees, Electronic Communications in Probability, 23, paper no. 87, 1-13.
  5. A. Iksanov, Z. Kabluchko. Weak convergence of the number of vertices at intermediate levels of random recursive trees, Journal of Applied Probability, 55, no 4, 1131-1142.
  6. A. Gnedin, A. Iksanov, A. Marynych, M. Moehle. The collision spectrum of Lambda-coalescents, Annals of Applied Probability, 28, no. 6, 3857-3883.
  7. I. V. Samoilenko, A. V. Nikitin. Differential equations with small stochastic terms under the Lévy approximation conditions. Ukrainian Mathematical Journal, 69, no. 9, 1445-1454.
  8. I. V. Samoilenko, Y. M. Chabanyuk, A. V. Nikitin. Asymptotic dissipativity of random processes with impulse perturbation in the Poisson approximation scheme. Cybernetics and System Analysis, 54, no. 2, 205-211.
  9. О. В. Іванов, І.К. Мацак. Про мінімаксні оцінки параметрів моделі регресії. Теорія ймовірностей та математична статистика, у друці.
  10. І.К. Мацак, А.М. Плічко, А.С. Шелуденко. Граничні теореми для максимуму сум незалежних випадкових процесів. Український математичний журнал, 70, no. 4, 506-518.
  11. А.В. Никитин. Асимптотическая диссипативность случайных процессов с импульсным возмущением в схеме аппроксимации Леви. Проблемы управления и информатики, 2, 58-65.
  12. А.В. Нікітін. Подвійне укрупнення фазового простору для стохастичних еволюційних рівнянь з імпульсним збуренням  у схемі пуассонової апроксимації. Журнал обчислювальної та прикладної математики, 1, 32-43.
  13. А.V. Nikitin, D.P. Proskurin, R.Ya. Yakymiv. Sufficient conditions of stability in mean square of solutions to linear difference equations with random coefficients. Вісник Київського національного університету імені Тараса Шевченка. Серія: кібернетика, 1, 34-36.
  14. B. Rashytov. Power moments of first passage times for some oscillating perturbed random walks, Theory of Stochastic Processes, 23(39), no. 1, 93-97.

Публікації 2017 року:

  1. G. Alsmeyer, D. Buraczewski, A. Iksanov. Null-recurrence and transience of random difference equations in the contractive case, Journal of Applied Probability, 54, no. 4, 1089-1110.
  2. G. Alsmeyer, A. Iksanov, A. Marynych. Functional limit theorems for the number of occupied boxes in the Bernoulli sieve, Stochastic Processes and their Applications, 127, no. 3, 995-1017.
  3. G. Alsmeyer, Z. Kabluchko, A. Marynych. A leader-election procedure using records, Annals of Probability, 43, no. 6B, 4348-4388.
  4. A. Iksanov, W. Jedidi, F. Bouzeffour. A law of the iterated logarithm for the number of occupied boxes in the Bernoulli sieve, Statistics and Probability Letters, 126, 244-252.
  5. A. Iksanov, Z. Kabluchko, A. Marynych, G. Shevchenko. Fractionally integrated inverse stable subordinators, Stochastic Processes and their Applications, 127, no. 1, 80-106.
  6. A. Iksanov, A. Marynych, M. Meiners. Asymptotics of random processes with  immigration I: scaling limits, Bernoulli, 23, no. 2, 1233-1278.
  7. A. Iksanov, A. Marynych, M. Meiners. Asymptotics of random processes with  immigration II: convergence to stationarity, Bernoulli, 23, no. 2, 1279-1298.
  8. A. Iksanov, A. Pilipenko, I. Samoilenko. Functional limit theorems for the maxima of perturbed random walks and divergent perpetuities in the M1-topology, Extremes, 20, no. 3, 567-583.
  9. Z. Kabluchko, A. Marynych, H. Sulzbach. General Edgeworth expansions with applications to profiles of random trees, Annals of Applied Probability, 27, no. 6, 3478-3524.
  10. A. Marynych, G. Verovkin. A functional limit theorem for random processes with immigration in the case of heavy tails, Modern Stochastics: Theory and Applications, 4, no. 2, 93-108.
  11. L. P. Nizhnik and  V. I. Rabanovich. On new inverse spectral problems for weighted graphs, Methods of Funct. Analysis and Topol.,  23, no. 1, 66–75.
  12. O. Petrenko, I. Protasov. Selective and Ramsey Ultrafilters on G-spaces, Notre Dame Journal of Formal Logic, 58, no. 3, 453-459.
  13. I. Protasov, K. Protasova. On recurrences in G-spaces, Algebra and Discrete Mathematics, 23, no. 2, 279-284.
  14. D. Proskurin, L. Turowska, R. Yakymiv. On well-behaved representations of \(\lambda\)-deformed CCR, Methods of Functional Analysis and Topology, 23, no. 2, 192-205.
  15. I. Protasov, S. Slobodianiuk. A note on factoring groups into dense subsets, Journal of Group Theory, 20, no. 1, 33-38.
  16. I. Protasov, S. Slobodianiuk. On asymorphisms of groups, Journal of Group Theory, 20, no. 2, 393-399.
  17. T. Banakh, I. Protasov, D. Repovš, S. Slobodianiuk. Classifying homogeneous cellular ordinal balleans up to coarse equivalence, Colloquium Mathematicum, 149, 211-224.
  18. A. Yurachkivsky. Limit distribution of a Generalized Ornstein-Uhlenbeck process, International Journal of Probability and Statistics, 6, no. 1, 24-39.
  19. A. Yurachkivsky. Generalization of the Stone-Weierstrass theorem, Mathematica Aeterna, 6, no. 2, 155-161.
  20. I. V. Samoilenko, Y. M. Chabanyuk, A. V. Nikitin, U. T. Chimka. Differential equations with Small Stochastic Additions Under Poisson Approximation Conditions, Cybernetics and System Analysis, 53, no. 3, 93-99.
  21. В. С. Королюк, І.В. Самойленко. Асимптотичний розклад функціонала від напівмарківської випадкової еволюції в схемі дифузійної апроксимації. Теорія ймовірностей та математична статистика, 96, 84-99.
  22. О.К.Закусило,  І.К.Мацак. Про екстремальні значення деяких регенеруючих процесів.  Теорія ймовірностей та математична статистика, 97, 58-71.