# zbMATH — the first resource for mathematics

## Knopova, Victoria Pavlovna

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 Author ID: knopova.victoria-p Published as: Knopova, Victoria; Knopova, V. P.; Knopova, V.; Knopova, Victoria P.; Knopova, Viktoria P.; Knopova, Victorya; Knopova, Viktorya Further Spellings: Knopova, Viktoriya Pavlovna Homepage: http://probability.univ.kiev.ua/index.php?page=userinfo&person=knopova&lan=en External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru
 Documents Indexed: 37 Publications since 2000 Reviewing Activity: 77 Reviews
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#### Co-Authors

 15 single-authored 7 Kulik, Alexey M. 7 Schilling, René Leander 3 Leonenko, Nikolai N. 2 Jacob, Niels 1 Anh, Vo V. 1 Beghin, Luisa 1 Bogdan, Krzysztof 1 Ganychenko, Iurii 1 Kulyk, O. M. 1 Landwehr, Sandra 1 Orsingher, Enzo 1 Pepelyaeva, T. V. 1 Sztonyk, Paweł 1 Wang, Jian 1 Zähle, Martina
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#### Serials

 4 Random Operators and Stochastic Equations 3 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 3 Theory of Stochastic Processes 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Cybernetics and Systems Analysis 2 Fractional Calculus & Applied Analysis 2 Modern Stochastics. Theory and Applications 1 Journal of Statistical Physics 1 Studia Mathematica 1 Colloquium Mathematicum 1 Zeitschrift für Analysis und ihre Anwendungen 1 Statistics & Probability Letters 1 Probability and Mathematical Statistics 1 Acta Applicandae Mathematicae 1 Journal of Theoretical Probability 1 Forum Mathematicum 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Theory of Probability and Mathematical Statistics 1 Electronic Journal of Probability 1 Documenta Mathematica 1 Australian & New Zealand Journal of Statistics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Science China. Mathematics
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#### Fields

 33 Probability theory and stochastic processes (60-XX) 18 Partial differential equations (35-XX) 17 Operator theory (47-XX) 6 Potential theory (31-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

19 Publications have been cited 193 times in 126 Documents Cited by Year
A note on the existence of transition probability densities of Lévy processes. Zbl 1269.60050
Knopova, Victoria; Schilling, René L.
2013
Parametrix construction of the transition probability density of the solution to an SDE driven by $$\alpha$$-stable noise. Zbl 1391.60191
Knopova, Victoria; Kulik, Alexei
2018
Transition density estimates for a class of Lévy and Lévy-type processes. Zbl 1242.60082
Knopova, Viktorya; Schilling, René L.
2012
A geometric interpretation of the transition density of a symmetric Lévy process. Zbl 1279.60097
Jacob, Niels; Knopova, Victorya; Landwehr, Sandra; Schilling, René L.
2012
Continuous-time stochastic processes with cyclical long-range dependence. Zbl 1080.60034
Anh, V. V.; Knopova, V. P.; Leonenko, N. N.
2004
Exact asymptotic for distribution densities of Lévy functionals. Zbl 1245.60051
Knopova, Victoria P.; Kulik, Alexei M.
2011
Fractional derivatives and fractional powers as tools in understanding Wentzell boundary value problems for pseudo-differential operators generating Markov processes. Zbl 1142.26003
Jacob, N.; Knopova, V.
2005
Intrinsic compound kernel estimates for the transition probability density of Lévy-type processes and their applications. Zbl 1367.60054
Knopova, Victoria; Kulik, Aleksei
2017
Heat kernel of anisotropic nonlocal operators. Zbl 1440.35352
Bogdan, Krzysztof; Sztonyk, Paweł; Knopova, Victoria
2020
Intrinsic small time estimates for distribution densities of Lévy processes. Zbl 1291.60095
Knopova, Victoria; Kulik, Alexei
2013
Spaces of generalized smoothness on $$h$$-sets and related Dirichlet forms. Zbl 1104.46018
Knopova, V.; Zähle, M.
2006
Gaussian limiting behavior of the rescaled solution to the linear Korteweg-de Vries equation with random initial conditions. Zbl 0962.35198
Beghin, Luisa; Knopova, Viktoria P.; Leonenko, Nikolai N.; Orsingher, Enzo
2000
Compound kernel estimates for the transition probability density of a Lévy process in $$\mathbb R^{n}$$. Zbl 1322.60057
Knopova, Victoria
2014
Lower bounds of the Hausdorff dimension for the images of Feller processes. Zbl 1351.60043
Knopova, V.; Schilling, R. L.; Wang, J.
2015
Asymptotic behaviour of the distribution density of some Lévy functionals in $$\mathbb R^n$$. Zbl 1249.60095
Knopova, V.
2011
On the small-time behaviour of Lévy-type processes. Zbl 1309.60027
Knopova, Victoria; Schilling, René L.
2014
On level and collision sets of some Feller processes. Zbl 1351.60044
Knopova, Victoria; Schilling, René L.
2015
Accuracy of discrete approximation for integral functionals of Markov processes. Zbl 1352.60108
Ganychenko, Iurii; Knopova, Victoria; Kulik, Alexei
2015
Parametrix construction for certain Lévy-type processes. Zbl 1321.60150
Knopova, Victoria; Kulik, Alexei
2015
Heat kernel of anisotropic nonlocal operators. Zbl 1440.35352
Bogdan, Krzysztof; Sztonyk, Paweł; Knopova, Victoria
2020
Parametrix construction of the transition probability density of the solution to an SDE driven by $$\alpha$$-stable noise. Zbl 1391.60191
Knopova, Victoria; Kulik, Alexei
2018
Intrinsic compound kernel estimates for the transition probability density of Lévy-type processes and their applications. Zbl 1367.60054
Knopova, Victoria; Kulik, Aleksei
2017
Lower bounds of the Hausdorff dimension for the images of Feller processes. Zbl 1351.60043
Knopova, V.; Schilling, R. L.; Wang, J.
2015
On level and collision sets of some Feller processes. Zbl 1351.60044
Knopova, Victoria; Schilling, René L.
2015
Accuracy of discrete approximation for integral functionals of Markov processes. Zbl 1352.60108
Ganychenko, Iurii; Knopova, Victoria; Kulik, Alexei
2015
Parametrix construction for certain Lévy-type processes. Zbl 1321.60150
Knopova, Victoria; Kulik, Alexei
2015
Compound kernel estimates for the transition probability density of a Lévy process in $$\mathbb R^{n}$$. Zbl 1322.60057
Knopova, Victoria
2014
On the small-time behaviour of Lévy-type processes. Zbl 1309.60027
Knopova, Victoria; Schilling, René L.
2014
A note on the existence of transition probability densities of Lévy processes. Zbl 1269.60050
Knopova, Victoria; Schilling, René L.
2013
Intrinsic small time estimates for distribution densities of Lévy processes. Zbl 1291.60095
Knopova, Victoria; Kulik, Alexei
2013
Transition density estimates for a class of Lévy and Lévy-type processes. Zbl 1242.60082
Knopova, Viktorya; Schilling, René L.
2012
A geometric interpretation of the transition density of a symmetric Lévy process. Zbl 1279.60097
Jacob, Niels; Knopova, Victorya; Landwehr, Sandra; Schilling, René L.
2012
Exact asymptotic for distribution densities of Lévy functionals. Zbl 1245.60051
Knopova, Victoria P.; Kulik, Alexei M.
2011
Asymptotic behaviour of the distribution density of some Lévy functionals in $$\mathbb R^n$$. Zbl 1249.60095
Knopova, V.
2011
Spaces of generalized smoothness on $$h$$-sets and related Dirichlet forms. Zbl 1104.46018
Knopova, V.; Zähle, M.
2006
Fractional derivatives and fractional powers as tools in understanding Wentzell boundary value problems for pseudo-differential operators generating Markov processes. Zbl 1142.26003
Jacob, N.; Knopova, V.
2005
Continuous-time stochastic processes with cyclical long-range dependence. Zbl 1080.60034
Anh, V. V.; Knopova, V. P.; Leonenko, N. N.
2004
Gaussian limiting behavior of the rescaled solution to the linear Korteweg-de Vries equation with random initial conditions. Zbl 0962.35198
Beghin, Luisa; Knopova, Viktoria P.; Leonenko, Nikolai N.; Orsingher, Enzo
2000
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#### Cited by 139 Authors

 10 Schilling, René Leander 8 Grzywny, Tomasz 8 Knopova, Victoria Pavlovna 8 Sztonyk, Paweł 7 Kaleta, Kamil 7 Leonenko, Nikolai N. 6 Ivanov, Aleksandr Vladimirovich 6 Jacob, Niels 6 Wang, Jian 5 Kühn, Franziska 5 Lörinczi, József 5 Ryznar, Michał 4 Bogdan, Krzysztof 4 Kim, Panki 4 Sandrić, Nikola 3 Biswas, Anup 3 Caetano, António M. 3 Cygan, Wojciech 3 Evans, Kristian P. 3 Jin, Peng 3 Kozachenko, Yuriĭ Vasyl’ovych 3 Kulczycki, Tadeusz 3 Orsingher, Enzo 3 Ruiz-Medina, María Dolores 3 Sakhno, Lyudmyla Mykhaĭlivna 3 Szczypkowski, Karol 3 Yu, Yanghai 2 Bañuelos, Rodrigo 2 Chen, Xin 2 Chen, Zhen-Qing 2 Deng, Changsong 2 Fahrenwaldt, Matthias Albrecht 2 Friesen, Martin 2 Jirak, Moritz 2 Kulik, Alexey M. 2 Li, Jinlu 2 Lopes, Sofia O. 2 Mimica, Ante 2 Olenko, Andriy Yakovych 2 Orlovsky, Igor V. 2 Rivero, Víctor Manuel 2 Vasylyk, Ol’ga I. 2 Xiao, Yimin 2 Xu, Lihu 2 Yang, Xiaochuan 1 Alonso Rodríguez, Ana 1 Altmeyer, Randolf 1 Angulo, José Miguel 1 Anh, Vo V. 1 Bae, Joohak 1 Bakeerathan, G. 1 Beghin, Luisa 1 Behme, Anita Diana 1 Böttcher, Björn 1 Brasseur, Julien 1 Kinderknecht, Yana A. 1 Caporale, Guglielmo Maria 1 Chaker, Jamil 1 Chang, Tongkeun 1 Chazal, Marie 1 Cho, Soobin 1 Cuñado, Juncal 1 de Pablo, Arturo 1 Demni, Nizar 1 Dette, Holger 1 Dong, Zhao 1 Du, Kai 1 Ganychenko, Iurii 1 Gil-Alana, Luis Alberiko 1 Grothaus, Martin 1 Haroske, Dorothee D. 1 Heyde, Christopher Charles 1 Hu, Ze-Chun 1 Imkeller, Peter 1 Iribarren, Ileana 1 Kang, Jaehoon 1 Kelbert, Mark Ya. 1 Keller-Ressel, Martin 1 Kim, Daesung 1 Klykavka, Boris 1 Kusuoka, Seiichiro Kusuoka 1 Kwaśnicki, Mateusz 1 Kyprianou, Andreas E. 1 Landwehr, Sandra 1 Lazić, Petra 1 Lee, Jaehun 1 Leipus, Remigijus 1 León, José Rafael R. 1 Lindner, Alexander M. 1 Liu, Wei 1 Loeffen, Ronnie L. 1 Luks, Tomasz 1 Maller, Ross Arthur 1 Marinelli, Carlo 1 Nakagawa, Takuya 1 Namba, Tokinaga 1 Nourdin, Ivan 1 Oppenheim, George 1 Park, Hyunchul 1 Patie, Pierre ...and 39 more Authors
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#### Cited in 66 Serials

 15 Stochastic Processes and their Applications 6 Journal of Mathematical Analysis and Applications 6 Bernoulli 5 Journal of Theoretical Probability 4 Potential Analysis 4 Modern Stochastics. Theory and Applications 3 Advances in Applied Probability 3 Mathematische Nachrichten 3 Transactions of the American Mathematical Society 3 Statistics & Probability Letters 3 Journal of Evolution Equations 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Ukrainian Mathematical Journal 2 The Annals of Probability 2 Integral Equations and Operator Theory 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Journal of Statistical Planning and Inference 2 Stochastic Analysis and Applications 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Theory of Probability and Mathematical Statistics 2 Electronic Journal of Probability 2 Fractional Calculus & Applied Analysis 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Science China. Mathematics 1 Journal d’Analyse Mathématique 1 Periodica Mathematica Hungarica 1 Theory of Probability and its Applications 1 Applied Mathematics and Computation 1 Illinois Journal of Mathematics 1 Journal of Applied Probability 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Mathematische Zeitschrift 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Bulletin of the Korean Mathematical Society 1 Journal of Time Series Analysis 1 Probability and Mathematical Statistics 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Statistics 1 Journal of Applied Mathematics and Stochastic Analysis 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Communications in Statistics. Theory and Methods 1 Glasnik Matematički. Serija III 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Sciences (New York) 1 Random Operators and Stochastic Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Positivity 1 Revista Matemática Complutense 1 Stochastic Environmental Research and Risk Assessment 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 Banach Journal of Mathematical Analysis 1 Advances in Nonlinear Analysis
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#### Cited in 25 Fields

 101 Probability theory and stochastic processes (60-XX) 38 Partial differential equations (35-XX) 35 Operator theory (47-XX) 15 Statistics (62-XX) 9 Measure and integration (28-XX) 7 Functional analysis (46-XX) 6 Potential theory (31-XX) 3 Real functions (26-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### Wikidata Timeline

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