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
