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Alexei Kulik
Alexei Kulik
Leading researcher, Institute of mathematics, Ukrainian Academy of Science
Bestätigte E-Mail-Adresse bei imath.kiev.ua - Startseite
Titel
Zitiert von
Zitiert von
Jahr
Exponential ergodicity of the solutions to SDE’s with a jump noise
AM Kulik
Stochastic Processes and their Applications 119 (2), 602-632, 2009
1062009
Ergodic behavior of Markov processes: with applications to limit theorems
A Kulik
Walter de Gruyter GmbH & Co KG, 2017
782017
Theory of stochastic processes
D Gusak, A Kukush, A Kulik, Y Mishura, A Pilipenko
Problem Books in Math. Springer, New York, 2010
532010
Parametrix construction of the transition probability density of the solution to an SDE driven by -stable noise
V Knopova, A Kulik
522018
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
512019
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
482020
Generalized couplings and convergence of transition probabilities
A Kulik, M Scheutzow
Probability Theory and Related Fields 171 (1), 333-376, 2018
432018
Malliavin calculus for Lévy processes with arbitrary Lévy measures
A Kulik
Theory of Probability and Mathematical Statistics 72, 75-92, 2006
362006
Intrinsic small time estimates for distribution densities of Lévy processes
V Knopova, A Kulik
Random Operators and Stochastic Equations 21 (4), 321-344, 2013
292013
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
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
242017
Parametrix construction for certain Lévy-type processes
V Knopova, A Kulik
Random Operators and Stochastic Equations 23 (2), 111-136, 2015
242015
The extended Poisson equation for weakly ergodic Markov processes
AY Veretennikov
Theory of Probability and Mathematical Statistics 85, 22, 2011
242011
Construction and heat kernel estimates of general stable-like Markov processes
V Knopova, A Kulik, R Schilling
arXiv preprint arXiv:2005.08491, 2020
222020
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 (1), 803683, 2011
192011
Nonlinear transformations of smooth measures on infinite-dimensional spaces
AM Kulik, AY Pilipenko
Ukrainian Mathematical Journal 52 (9), 1403-1431, 2000
192000
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
182011
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