Edit Profile (opens in new tab) Knopova, Victoria Pavlovna Compute Distance To: Compute Author ID: knopova.victoria-p Published as: Knopova, Victoria; Knopova, V. P.; Knopova, V.; Knopova, Victoria P.; Knopova, Viktoria P.; Knopova, Victorya; Knopova, Viktorya more...less 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: 39 Publications since 2000 Reviewing Activity: 77 Reviews Co-Authors: 15 Co-Authors with 24 Joint Publications 502 Co-Co-Authors all top 5 Co-Authors 15 single-authored 9 Kulik, Alexey M. 8 Schilling, René Leander 3 Leonenko, Nikolai N. 2 Jacob, Niels 1 Anh, Vo V. 1 Beghin, Luisa 1 Bogdan, Krzysztof 1 Ganychenko, Iurii 1 Landwehr, Sandra 1 Orsingher, Enzo 1 Palmowski, Zbigniew 1 Pepelyaeva, T. V. 1 Sztonyk, Paweł 1 Wang, Jian 1 Zähle, Martina all top 5 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 Advances in Applied Probability 1 Journal of Statistical Physics 1 Studia Mathematica 1 Colloquium Mathematicum 1 Dissertationes Mathematicae 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 all top 5 Fields 35 Probability theory and stochastic processes (60-XX) 19 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) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 238 times in 149 Documents Cited by ▼ Year ▼ A note on the existence of transition probability densities of Lévy processes. Zbl 1269.60050Knopova, Victoria; Schilling, René L. 56 2013 Parametrix construction of the transition probability density of the solution to an SDE driven by \(\alpha\)-stable noise. Zbl 1391.60191Knopova, Victoria; Kulik, Alexei 24 2018 Transition density estimates for a class of Lévy and Lévy-type processes. Zbl 1242.60082Knopova, Viktorya; Schilling, René L. 21 2012 A geometric interpretation of the transition density of a symmetric Lévy process. Zbl 1279.60097Jacob, Niels; Knopova, Victorya; Landwehr, Sandra; Schilling, René L. 18 2012 Continuous-time stochastic processes with cyclical long-range dependence. Zbl 1080.60034Anh, V. V.; Knopova, V. P.; Leonenko, N. N. 16 2004 Exact asymptotic for distribution densities of Lévy functionals. Zbl 1245.60051Knopova, Victoria P.; Kulik, Alexei M. 13 2011 Intrinsic small time estimates for distribution densities of Lévy processes. Zbl 1291.60095Knopova, Victoria; Kulik, Alexei 12 2013 Heat kernel of anisotropic nonlocal operators. Zbl 1440.35352Bogdan, Krzysztof; Sztonyk, Paweł; Knopova, Victoria 12 2020 Intrinsic compound kernel estimates for the transition probability density of Lévy-type processes and their applications. Zbl 1367.60054Knopova, Victoria; Kulik, Aleksei 12 2017 Fractional derivatives and fractional powers as tools in understanding Wentzell boundary value problems for pseudo-differential operators generating Markov processes. Zbl 1142.26003Jacob, N.; Knopova, V. 10 2005 Compound kernel estimates for the transition probability density of a Lévy process in \(\mathbb R^{n}\). Zbl 1322.60057Knopova, Victoria 8 2014 Spaces of generalized smoothness on \(h\)-sets and related Dirichlet forms. Zbl 1104.46018Knopova, V.; Zähle, M. 7 2006 Gaussian limiting behavior of the rescaled solution to the linear Korteweg-de Vries equation with random initial conditions. Zbl 0962.35198Beghin, Luisa; Knopova, Viktoria P.; Leonenko, Nikolai N.; Orsingher, Enzo 7 2000 Parametrix construction for certain Lévy-type processes. Zbl 1321.60150Knopova, Victoria; Kulik, Alexei 3 2015 On the small-time behaviour of Lévy-type processes. Zbl 1309.60027Knopova, Victoria; Schilling, René L. 3 2014 Asymptotic behaviour of the distribution density of some Lévy functionals in \(\mathbb R^n\). Zbl 1249.60095Knopova, V. 3 2011 Lower bounds of the Hausdorff dimension for the images of Feller processes. Zbl 1351.60043Knopova, V.; Schilling, R. L.; Wang, J. 3 2015 Accuracy of discrete approximation for integral functionals of Markov processes. Zbl 1352.60108Ganychenko, Iurii; Knopova, Victoria; Kulik, Alexei 3 2015 On the Feynman-Kac semigroup for some Markov processes. Zbl 1352.60110Knopova, Victoria 2 2015 On level and collision sets of some Feller processes. Zbl 1351.60044Knopova, Victoria; Schilling, René L. 2 2015 Construction and heat kernel estimates of general stable-like Markov processes. Zbl 1485.60072Knopova, Victoria; Kulik, Alexei; Schilling, René L. 2 2021 Limit behaviour of the renormalized solution of the Airy equation with strongly dependent initial data. Zbl 1088.60068Knopova, Victoria 1 2004 Construction and heat kernel estimates of general stable-like Markov processes. Zbl 1485.60072Knopova, Victoria; Kulik, Alexei; Schilling, René L. 2 2021 Heat kernel of anisotropic nonlocal operators. Zbl 1440.35352Bogdan, Krzysztof; Sztonyk, Paweł; Knopova, Victoria 12 2020 Parametrix construction of the transition probability density of the solution to an SDE driven by \(\alpha\)-stable noise. Zbl 1391.60191Knopova, Victoria; Kulik, Alexei 24 2018 Intrinsic compound kernel estimates for the transition probability density of Lévy-type processes and their applications. Zbl 1367.60054Knopova, Victoria; Kulik, Aleksei 12 2017 Parametrix construction for certain Lévy-type processes. Zbl 1321.60150Knopova, Victoria; Kulik, Alexei 3 2015 Lower bounds of the Hausdorff dimension for the images of Feller processes. Zbl 1351.60043Knopova, V.; Schilling, R. L.; Wang, J. 3 2015 Accuracy of discrete approximation for integral functionals of Markov processes. Zbl 1352.60108Ganychenko, Iurii; Knopova, Victoria; Kulik, Alexei 3 2015 On the Feynman-Kac semigroup for some Markov processes. Zbl 1352.60110Knopova, Victoria 2 2015 On level and collision sets of some Feller processes. Zbl 1351.60044Knopova, Victoria; Schilling, René L. 2 2015 Compound kernel estimates for the transition probability density of a Lévy process in \(\mathbb R^{n}\). Zbl 1322.60057Knopova, Victoria 8 2014 On the small-time behaviour of Lévy-type processes. Zbl 1309.60027Knopova, Victoria; Schilling, René L. 3 2014 A note on the existence of transition probability densities of Lévy processes. Zbl 1269.60050Knopova, Victoria; Schilling, René L. 56 2013 Intrinsic small time estimates for distribution densities of Lévy processes. Zbl 1291.60095Knopova, Victoria; Kulik, Alexei 12 2013 Transition density estimates for a class of Lévy and Lévy-type processes. Zbl 1242.60082Knopova, Viktorya; Schilling, René L. 21 2012 A geometric interpretation of the transition density of a symmetric Lévy process. Zbl 1279.60097Jacob, Niels; Knopova, Victorya; Landwehr, Sandra; Schilling, René L. 18 2012 Exact asymptotic for distribution densities of Lévy functionals. Zbl 1245.60051Knopova, Victoria P.; Kulik, Alexei M. 13 2011 Asymptotic behaviour of the distribution density of some Lévy functionals in \(\mathbb R^n\). Zbl 1249.60095Knopova, V. 3 2011 Spaces of generalized smoothness on \(h\)-sets and related Dirichlet forms. Zbl 1104.46018Knopova, V.; Zähle, M. 7 2006 Fractional derivatives and fractional powers as tools in understanding Wentzell boundary value problems for pseudo-differential operators generating Markov processes. Zbl 1142.26003Jacob, N.; Knopova, V. 10 2005 Continuous-time stochastic processes with cyclical long-range dependence. Zbl 1080.60034Anh, V. V.; Knopova, V. P.; Leonenko, N. N. 16 2004 Limit behaviour of the renormalized solution of the Airy equation with strongly dependent initial data. Zbl 1088.60068Knopova, Victoria 1 2004 Gaussian limiting behavior of the rescaled solution to the linear Korteweg-de Vries equation with random initial conditions. Zbl 0962.35198Beghin, Luisa; Knopova, Viktoria P.; Leonenko, Nikolai N.; Orsingher, Enzo 7 2000 all cited Publications top 5 cited Publications all top 5 Cited by 158 Authors 14 Schilling, René Leander 10 Kühn, Franziska 9 Grzywny, Tomasz 9 Knopova, Victoria Pavlovna 9 Wang, Jian 8 Kaleta, Kamil 8 Sztonyk, Paweł 7 Leonenko, Nikolai N. 6 Ivanov, Aleksandr Vladimirovich 6 Jacob, Niels 6 Ryznar, Michał 5 Lörinczi, József 5 Sandrić, Nikola 4 Bogdan, Krzysztof 4 Kim, Panki 4 Kulczycki, Tadeusz 4 Kulik, Alexey M. 4 Szczypkowski, Karol 3 Biswas, Anup 3 Caetano, António M. 3 Chen, Zhen-Qing 3 Cygan, Wojciech 3 Evans, Kristian P. 3 Jin, Peng 3 Kozachenko, Yuriĭ Vasyl’ovych 3 Orsingher, Enzo 3 Ruiz-Medina, María Dolores 3 Sakhno, Lyudmyla Mykhaĭlivna 3 Yu, Yanghai 2 Altmeyer, Randolf 2 Bañuelos, Rodrigo 2 Kinderknecht, Yana A. 2 Chen, Xin 2 Deng, Changsong 2 Fahrenwaldt, Matthias Albrecht 2 Friesen, Martin 2 Jirak, Moritz 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 Angulo, José Miguel 1 Anh, Vo V. 1 Arapostathis, Aristotle 1 Bae, Joohak 1 Bakeerathan, G. 1 Bally, Vlad 1 Beghin, Luisa 1 Behme, Anita Diana 1 Bender, Christian 1 Bormann, Marie 1 Böttcher, Björn 1 Brasseur, Julien 1 Caporale, Guglielmo Maria 1 Caramellino, Lucia 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 Erraoui, Mohamed 1 Feulefack, Pierre Aime 1 Ganychenko, Iurii 1 Gil-Alana, Luis Alberiko 1 Grothaus, Martin 1 Haroske, Dorothee D. 1 Heyde, Christopher Charles 1 Hilbert, Astrid 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 Kohatsu-Higa, Arturo 1 Kumagai, Takashi 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 Leżaj, Łukasz 1 Lindner, Alexander M. ...and 58 more Authors all top 5 Cited in 75 Serials 16 Stochastic Processes and their Applications 7 Journal of Mathematical Analysis and Applications 7 Bernoulli 5 Transactions of the American Mathematical Society 5 Journal of Theoretical Probability 5 Potential Analysis 4 Electronic Journal of Probability 4 Modern Stochastics. Theory and Applications 3 Advances in Applied Probability 3 Ukrainian Mathematical Journal 3 Journal of Functional Analysis 3 Mathematische Nachrichten 3 Statistics & Probability Letters 3 Theory of Probability and Mathematical Statistics 3 Fractional Calculus & Applied Analysis 3 Journal of Evolution Equations 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 The Annals of Probability 2 Integral Equations and Operator Theory 2 Journal of Differential Equations 2 Journal of Statistical Planning and Inference 2 Stochastic Analysis and Applications 2 Forum Mathematicum 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Positivity 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Science China. Mathematics 1 Journal d’Analyse Mathématique 1 Lithuanian Mathematical Journal 1 Periodica Mathematica Hungarica 1 Studia Mathematica 1 Theory of Probability and its Applications 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Dissertationes Mathematicae 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 Asymptotic Analysis 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 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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Banach Journal of Mathematical Analysis 1 Advances in Nonlinear Analysis 1 Open Mathematics 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 27 Fields 122 Probability theory and stochastic processes (60-XX) 46 Partial differential equations (35-XX) 39 Operator theory (47-XX) 16 Statistics (62-XX) 9 Measure and integration (28-XX) 8 Functional analysis (46-XX) 7 Potential theory (31-XX) 5 Real functions (26-XX) 5 Integral equations (45-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-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 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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