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Alexei Kulik
Alexei Kulik
Leading researcher, Institute of mathematics, Ukrainian Academy of Science
Verified email at imath.kiev.ua - Homepage
Title
Cited by
Cited by
Year
Exponential ergodicity of the solutions to SDE’s with a jump noise
AM Kulik
Stochastic Processes and their Applications 119 (2), 602-632, 2009
1052009
Ergodic Behavior of Markov Processes: With Applications to Limit Theorems
A Kulik
Walter de Gruyter GmbH & Co KG, 2017
722017
Theory of stochastic processes
D Gusak, A Kukush, A Kulik, Y Mishura, A Pilipenko
Problem Books in Math. Springer, New York, 2010
492010
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
482019
Parametrix construction of the transition probability density of the solution to an SDE driven by -stable noise
V Knopova, A Kulik
472018
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
392020
Malliavin calculus for Lévy processes with arbitrary Lévy measures
A Kulik
Theory of Probability and Mathematical Statistics 72, 75-92, 2006
362006
Generalized couplings and convergence of transition probabilities
A Kulik, M Scheutzow
Probability Theory and Related Fields 171 (1), 333-376, 2018
352018
Exact asymptotic for distribution densities of Lévy functionals
V Knopova, A Kulik
29*2011
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
272012
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
272012
Intrinsic small time estimates for distribution densities of Lévy processes
V Knopova, A Kulik
Random Operators and Stochastic Equations 21 (4), 321-344, 2013
262013
Exact asymptotic for distribution densities of Lévy functionals
V Knopova, A Kulik
242011
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
232017
Parametrix construction for certain Lévy-type processes
V Knopova, A Kulik
Random Operators and Stochastic Equations 23 (2), 111-136, 2015
232015
The extended Poisson equation for weakly ergodic Markov processes
AY Veretennikov
Theory of Probability and Mathematical Statistics 85, 22, 2011
232011
Asymptotic and spectral properties of exponentially ϕ-ergodic Markov processes
AM Kulik
Stochastic processes and their applications 121 (5), 1044-1075, 2011
222011
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
212006
Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential
X Chen, A Kulik
International Journal of Stochastic Analysis 2011, 2011
192011
Nonlinear transformations of smooth measures on infinite-dimensional spaces
AM Kulik, AY Pilipenko
Ukrainian Mathematical Journal 52 (9), 1403-1431, 2000
192000
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