Exponential ergodicity of the solutions to SDE’s with a jump noise AM Kulik Stochastic Processes and their Applications 119 (2), 602-632, 2009 | 103 | 2009 |
Ergodic behavior of Markov processes: with applications to limit theorems A Kulik Walter de Gruyter GmbH & Co KG, 2017 | 73 | 2017 |
Theory of stochastic processes D Gusak, A Kukush, A Kulik, Y Mishura, A Pilipenko Problem Books in Math. Springer, New York, 2010 | 51 | 2010 |
Parametrix construction of the transition probability density of the solution to an SDE driven by -stable noise V Knopova, A Kulik | 48 | 2018 |
On weak uniqueness and distributional properties of a solution to an SDE with α-stable noise AM Kulik Stochastic Processes and their Applications 129 (2), 473-506, 2019 | 47 | 2019 |
Generalized couplings and ergodic rates for SPDEs and other Markov models O Butkovsky, A Kulik, M Scheutzow The Annals of Applied Probability 30 (1), 1-39, 2020 | 39 | 2020 |
Generalized couplings and convergence of transition probabilities A Kulik, M Scheutzow Probability Theory and Related Fields 171 (1), 333-376, 2018 | 36 | 2018 |
Malliavin calculus for Lévy processes with arbitrary Lévy measures A Kulik Theory of Probability and Mathematical Statistics 72, 75-92, 2006 | 36 | 2006 |
Exact asymptotic for distribution densities of Lévy functionals V Knopova, A Kulik | 29* | 2011 |
Intrinsic small time estimates for distribution densities of Lévy processes V Knopova, A Kulik Random Operators and Stochastic Equations 21 (4), 321-344, 2013 | 27 | 2013 |
Brownian motion and parabolic Anderson model in a renormalized Poisson potential X Chen, AM Kulik Annales de l'IHP Probabilités et statistiques 48 (3), 631-660, 2012 | 27 | 2012 |
Parametrix construction for certain Lévy-type processes V Knopova, A Kulik Random Operators and Stochastic Equations 23 (2), 111-136, 2015 | 24 | 2015 |
Intrinsic compound kernel estimates for the transition probability density of Lévy-type processes and their applications V Knopova, A Kulik Probab. Math. Statist 37 (1), 53-100, 2017 | 23 | 2017 |
The extended Poisson equation for weakly ergodic Markov processes AY Veretennikov Theory of Probability and Mathematical Statistics 85, 22, 2011 | 23 | 2011 |
Asymptotic and spectral properties of exponentially ϕ-ergodic Markov processes AM Kulik Stochastic processes and their applications 121 (5), 1044-1075, 2011 | 22 | 2011 |
Stochastic calculus of variations for general L\'evy processes and its applications to jump-type SDE's with non-degenerated drift A Kulik arXiv preprint math/0606427, 2006 | 21 | 2006 |
Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential X Chen, A Kulik International Journal of Stochastic Analysis 2011 (1), 803683, 2011 | 19 | 2011 |
Nonlinear transformations of smooth measures on infinite-dimensional spaces AM Kulik, AY Pilipenko Ukrainian Mathematical Journal 52 (9), 1403-1431, 2000 | 19 | 2000 |
Construction and heat kernel estimates of general stable-like Markov processes V Knopova, A Kulik, R Schilling arXiv preprint arXiv:2005.08491, 2020 | 17 | 2020 |
Absolute continuity and convergence in variation for distributions of functionals of Poisson point measure AM Kulik Journal of Theoretical Probability 24 (1), 1-38, 2011 | 17 | 2011 |