Regularization by noise, stabilization by noise, synchronization by noise with applications to SDEs, SPDEs and other complex systems
Main publications:
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
O. A. Butkovsky, “On ergodic properties of nonlinear Markov chains and stochastic McKean–Vlasov equations”, Teor. Veroyatnost. i Primenen., 58:4 (2013), 782–794; Theory Probab. Appl., 58:4 (2014), 661–674
O. A. Butkovskii, “Limit Behavior of a Critical Branching Process with Immigration”, Mat. Zametki, 92:5 (2012), 670–677; 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
Limit theorems for Markov processes O. A. Butkovskij Principle Seminar of the Department of Probability Theory, Moscow State University September 19, 2012 16:45
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