Regularization by noise, stabilization by noise, synchronization by noise with applications to SDEs, SPDEs and other complex systems
Основные публикации:
S. Athreya, O. Butkovsky, L. Mytnik, “Strong existence and uniqueness for stable stochastic differential equations with distributional drift”, The Annals of Probability, 48:1 (2020), 178-210
O. Butkovsky, L. Mytnik, “Regularization by noise and flows of solutions for a stochastic heat equation”, The Annals of Probability, 47:1 (2019), 165-212
O. Butkovsky, A. Kulik, M. Scheutzow, “Generalized couplings and ergodic rates for SPDEs and other Markov models”, The Annals of Applied Probability, 30:1 (2020), 1-39
O. Butkovsky, “Subgeometric rates of convergence of Markov processes in the Wasserstein metric”, Annals of Applied Probability, 24:2 (2014), 526–552
О. А. Бутковский, “Об эргодических свойствах нелинейных марковских цепей и стохастических уравнений Маккина–Власова”, Теория вероятн. и ее примен., 58:4 (2013), 782–794; O. A. Butkovsky, “On ergodic properties of nonlinear Markov chains and stochastic McKean–Vlasov equations”, Theory Probab. Appl., 58:4 (2014), 661–674
О. А. Бутковский, “Предельное поведение критического ветвящегося процесса с иммиграцией”, Матем. заметки, 92:5 (2012), 670–677; O. A. Butkovskii, “Limit Behavior of a Critical Branching Process with Immigration”, Math. Notes, 92:5 (2012), 612–618
A. Bulinski, O. Butkovsky, V. Sadovnichy, A. Shashkin, P. Yaskov, A. Balatskiy, L. Samokhodskaya, V. Tkachuk, “Statistical methods of SNP data analysis and applications”, Open J. Stat., 2:1 (2012), 73–87
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