Random recursion, renewal theory, coalescents, random regenerative compositions, recursive combinatorial structure.
Subject:
Probability, stochastic processes
Main publications:
A. Marynych, “On the asymptotics of moments of linear random recurrences”, Theory of Stochastic Processes, 16:32 (2010), 106–119
A. Gnedin, A. Iksanov, A. Marynych, “Limit theorems for the number of occupied boxes in the Bernoulli sieve”, Theory of Stochastic Processes, 16:32 (2010), 44–57
A. Gnedin, A. Iksanov, A. Marynych, “Lambda-coalescents with dust component”, Journal of Applied Probability, 48:4 (2011), 1133–1151
A. Gnedin, A. Iksanov, A. Marynych, “A generalization of the Erdos-Turan law for the order of random permutation”, Combinatorics, Probability and Computing, 21 (2011), 715–733
V. Vatutin, A. Iksanov, A. Marinich, “Slabaya skhodimost konechnomernykh raspredelenii chisla pustykh yaschikov resheta Bernulli”, Teoriya veroyatnostei i ee primeneniya, 59:1 (2014), 28–60
Zakhar Kabluchko, Alexander Marynych, “Renewal shot noise processes in the case of slowly varying tails”, Theory Stoch. Process., 21(37):2 (2016), 14–21
2015
2.
Sergei I. Dotsenko, Alexander V. Marynych, “Optimal doubling strategies in backgammon”, Contributions to Game Theory and Management, 8 (2015), 33–46
3.
A. V. Marynych, “A note on convergence to stationarity of random processes with immigration”, Theory Stoch. Process., 20(36):1 (2015), 84–100
2014
4.
V. A. Vatutin, A. Iksanov, A. V. Marynych, “Weak convergence of finite-dimensional distrinbutions of a number of empty boxes of sieve of Bernoulli”, Teor. Veroyatnost. i Primenen., 59:1 (2014), 28–60; Theory Probab. Appl., 59:1 (2015), 87–113
Alexander Marynych, “On the asymptotics of moments of linear random recurrences”, Theory Stoch. Process., 16(32):2 (2010), 106–119
6.
Alexander Gnedin, Alexander Iksanov, Alexander Marynych, “Limit theorems for the number of occupied boxes in the Bernoulli sieve”, Theory Stoch. Process., 16(32):2 (2010), 44–57
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