Edit Profile (opens in new tab) Schilling, René Leander Co-Author Distance Author ID: schilling.rene-leander Published as: Schilling, René L.; Schilling, R. L.; Schilling, René; Schilling, Rene L.; Schilling, René Leander more...less Homepage: https://tu-dresden.de/mn/math/stochastik/schilling External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 124 Publications since 1994, including 15 Books and 9 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 233 Reviews Co-Authors: 67 Co-Authors with 105 Joint Publications 2,082 Co-Co-Authors all top 5 Co-Authors 21 single-authored 13 Jacob, Niels 13 Wang, Jian 11 Deng, Changsong 10 Böttcher, Björn 10 Knopova, Victoria Pavlovna 9 Kühn, Franziska 7 Lindner, Felix 5 Cioica, Petru A. 5 Dahlke, Stephan 5 Kinzel, Stefan 5 Raasch, Thorsten 5 Ritter, Klaus 5 Vondraček, Zoran 4 Berger, David 4 Kinderknecht, Yana A. 4 Döhring, Nicolas 4 Smolyanov, Oleg Georgievich 4 Xu, Lihu 3 Meerschaert, Mark Marvin 3 Uemura, Toshihiro 2 Burdzy, Krzysztof 2 Farkas, Walter 2 Feller, William 2 Friedrich, Ulrich 2 Kaleta, Kamil 2 Keller-Ressel, Martin 2 Khoshnevisan, Davar 2 Kolokoltsov, Vassili N. 2 Kovács, Mihály 2 Kulczycki, Tadeusz 2 Lifshits, Mikhail A. 2 Mishura, Yuliya Stepanivna 2 Partzsch, Lothar 2 Porcu, Emilio 2 Shargorodsky, Eugene 2 Sikorskii, Alla 2 Song, Renming 2 Song, Yanhong 2 Tyurin, Ilya 2 Woyczynski, Wojbor A. 1 Bäumer, Boris 1 Behme, Anita Diana 1 Bogdan, Krzystzof 1 Chen, Peng 1 Duan, Jinqiao 1 Germano, Guido 1 Knopova, Victoriya 1 Kohatsu-Higa, Arturo 1 Kondrat’yev, Yuriĭ Grygorovych 1 Kulik, Alexey M. 1 Landwehr, Sandra 1 Leonenko, Nikolai N. 1 Li, Xiang 1 Liang, Mingjie 1 Mimica, Ante 1 Oechsler, David 1 Politi, Mauro 1 Quer-Sardanyons, Lluís 1 Ralchenko, Kostiantyn V. 1 Ros-Oton, Xavier 1 Sandrić, Nikola 1 Scalas, Enrico 1 Schnurr, Alexander 1 Sharia, Teo 1 Straka, Peter 1 Sztonyk, Paweł 1 Tyukov, Alexei E. 1 Utzet, Frederic 1 Xiao, Yimin 1 Yuan, Shenglan all top 5 Serials 6 Stochastic Processes and their Applications 4 Transactions of the American Mathematical Society 4 Bernoulli 4 De Gruyter Studium 3 Advances in Applied Probability 3 Mathematische Nachrichten 3 Journal of Theoretical Probability 3 Potential Analysis 3 Electronic Journal of Probability 2 Studia Mathematica 2 Bulletin of the London Mathematical Society 2 Dissertationes Mathematicae 2 Journal of Functional Analysis 2 Zeitschrift für Analysis und ihre Anwendungen 2 Statistics & Probability Letters 2 Probability and Mathematical Statistics 2 Revista Matemática Iberoamericana 2 Forum Mathematicum 2 Expositiones Mathematicae 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 De Gruyter Studies in Mathematics 2 De Gruyter Graduate 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 The Annals of Statistics 1 BIT 1 Integral Equations and Operator Theory 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Publicationes Mathematicae Debrecen 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Probability Theory and Related Fields 1 Journal of the Australian Mathematical Society. Series A 1 Stochastics and Stochastics Reports 1 Theory of Probability and Mathematical Statistics 1 Russian Journal of Mathematical Physics 1 Electronic Communications in Probability 1 Doklady Mathematics 1 Nonlinear Dynamics 1 Positivity 1 Fractional Calculus & Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Evolution Equations 1 Foundations of Computational Mathematics 1 Stochastics and Dynamics 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Lecture Notes in Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Probability Surveys 1 Science China. Mathematics 1 Journal of Spectral Theory 1 Communications in Applied and Industrial Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Modern Stochastics. Theory and Applications 1 Advanced Courses in Mathematics – CRM Barcelona 1 De Gruyter Textbook all top 5 Fields 109 Probability theory and stochastic processes (60-XX) 32 Operator theory (47-XX) 30 Partial differential equations (35-XX) 17 Potential theory (31-XX) 10 Measure and integration (28-XX) 9 Functional analysis (46-XX) 9 Numerical analysis (65-XX) 6 Real functions (26-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 2,210 times in 1,394 Documents Cited by ▼ Year ▼ Bernstein functions. Theory and applications. 2nd revised and extended ed. Zbl 1257.33001 Schilling, René L.; Song, Renming; Vondraček, Zoran 377 2012 Bernstein functions. Theory and applications. Zbl 1197.33002 Schilling, René L.; Song, Renming; Vondraček, Zoran 236 2010 Lévy matters III. Lévy-type processes: construction, approximation and sample path properties. Zbl 1384.60004 Böttcher, Björn; Schilling, René; Wang, Jian 158 2013 Growth and Hölder conditions for the sample paths of Feller processes. Zbl 0930.60013 Schilling, René L. 87 1998 A note on the existence of transition probability densities of Lévy processes. Zbl 1269.60050 Knopova, Victoria; Schilling, René L. 65 2013 Coupling property and gradient estimates of Lévy processes via the symbol. Zbl 1263.60045 Schilling, René L.; Sztonyk, Paweł; Wang, Jian 52 2012 The symbol associated with the solution of a stochastic differential equation. Zbl 1226.60116 Schilling, Rene L.; Schnurr, Alexander 50 2010 Conservativeness and extensions of Feller semigroups. Zbl 0919.47033 Schilling, René L. 49 1998 Measures, integrals and martingales. Zbl 1084.28001 Schilling, René L. 46 2005 Correlation structure of time-changed Lévy processes. Zbl 1329.60118 Leonenko, Nikolai N.; Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla 41 2014 Function spaces related to continuous negative definite functions: \(\psi\)-Bessel potential spaces. Zbl 0990.46018 Farkas, Walter; Jacob, Niels; Schilling, René L. 40 2001 Lévy-type processes and pseudodifferential operators. Zbl 0984.60054 Jacob, Niels; Schilling, René L. 40 2001 Measures, integrals and martingales. 2nd edition. Zbl 1360.28001 Schilling, René L. 39 2017 Asymptotic properties of Brownian motion delayed by inverse subordinators. Zbl 1329.60291 Magdziarz, Marcin; Schilling, René L. 36 2015 Subordination in the sense of Bochner and a related functional calculus. Zbl 0920.47039 Schilling, René L. 30 1998 On the Feller property of Dirichlet forms generated by pseudo differential operators. Zbl 1141.31006 Schilling, René L.; Uemura, Toshihiro 28 2007 Brownian motion. An introduction to stochastic processes. With contributions by Björn Böttcher. 2nd revised and extended ed. Zbl 1283.60003 Schilling, René L.; Partzsch, Lothar 27 2014 Transition density estimates for a class of Lévy and Lévy-type processes. Zbl 1242.60082 Knopova, Viktorya; Schilling, René L. 24 2012 From Lévy-type processes to parabolic SPDEs. Edited by Lluís Quer-Sardanyons and Frederic Utzet. Zbl 1382.60005 Khoshnevisan, Davar; Schilling, René 24 2016 On shift Harnack inequalities for subordinate semigroups and moment estimates for Lévy processes. Zbl 1328.60118 Deng, Chang-Song; Schilling, René L. 23 2015 Stochastic solutions for fractional wave equations. Zbl 1345.35134 Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla 22 2015 Some theorems on Feller processes: transience, local times and ultracontractivity. Zbl 1282.60070 Schilling, René L.; Wang, Jian 22 2013 On the coupling property of Lévy processes. Zbl 1268.60061 Schilling, René L.; Wang, Jian 22 2011 On the coupling property and the Liouville theorem for Ornstein-Uhlenbeck processes. Zbl 1247.60113 Schilling, René L.; Wang, Jian 21 2012 Strong Feller continuity of Feller processes and semigroups. Zbl 1258.60047 Schilling, René L.; Wang, Jian 21 2012 Reflected spectrally negative stable processes and their governing equations. Zbl 1378.60075 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M.; Schilling, René L.; Straka, Peter 21 2016 Approximation of Feller processes by Markov chains with Lévy increments. Zbl 1168.60359 Böttcher, Björn; Schilling, René L. 20 2009 Constructions of coupling processes for Lévy processes. Zbl 1217.60035 Böttcher, Björn; Schilling, René L.; Wang, Jian 20 2011 A geometric interpretation of the transition density of a symmetric Lévy process. Zbl 1279.60097 Jacob, Niels; Knopova, Victorya; Landwehr, Sandra; Schilling, René L. 20 2012 Feller semigroup, \(L^p\)-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols. Zbl 0978.47031 Farkas, Walter; Jacob, Niels; Schilling, René L. 20 2001 Brownian motion. An introduction to stochastic processes. With a chapter on simulation by Björn Böttcher. Zbl 1258.60002 Schilling, René L.; Partzsch, Lothar 19 2012 On the domain of fractional Laplacians and related generators of Feller processes. Zbl 1464.60044 Kühn, Franziska; Schilling, René L. 19 2019 Strong convergence of the Euler-Maruyama approximation for a class of Lévy-driven SDEs. Zbl 1422.60097 Kühn, Franziska; Schilling, René L. 19 2019 Some Dirichlet spaces obtained by subordinate reflected diffusions. Zbl 0922.31011 Jacob, Niels; Schilling, René L. 18 1999 On Feller processes with sample paths in Besov spaces. Zbl 0888.60036 Schilling, René L. 18 1997 Feller processes generated by pseudo-differential operators: On the Hausdorff dimension of their sample paths. Zbl 0910.60028 Schilling, René L. 18 1998 Conservativeness of semigroups generated by pseudo differential operators. Zbl 0917.60066 Schilling, René L. 17 1998 Lower bounded semi-Dirichlet forms associated with Lévy type operators. Zbl 1336.31030 Schilling, René L.; Wang, Jian 17 2015 Functional inequalities and subordination: Stability of Nash and Poincaré inequalities. Zbl 1259.47058 Schilling, René L.; Wang, Jian 16 2012 Weak order for the discretization of the stochastic heat equation driven by impulsive noise. Zbl 1263.60058 Lindner, Felix; Schilling, René L. 16 2013 Lagrangian and Hamiltonian Feynman formulae for some Feller semigroups and their perturbations. Zbl 1273.47070 Butko, Yana A.; Schilling, René L.; Smolyanov, Oleg G. 15 2012 From Schoenberg to Pick-Nevanlinna: toward a complete picture of the variogram class. Zbl 1280.60032 Porcu, Emilio; Schilling, René L. 15 2011 Construction and heat kernel estimates of general stable-like Markov processes. Zbl 1485.60072 Knopova, Victoria; Kulik, Alexei; Schilling, René L. 15 2021 Distance multivariance: new dependence measures for random vectors. Zbl 1467.62104 Böttcher, Björn; Keller-Ressel, Martin; Schilling, René L. 15 2019 Function spaces as path spaces of Feller processes. Zbl 0970.60043 Schilling, René L. 14 2000 Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains. Zbl 1250.60026 Cioica, Petru A.; Dahlke, Stephan; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 14 2011 Subgeometric rates of convergence for Markov processes under subordination. Zbl 1425.60064 Deng, Chang-Song; Schilling, René L.; Song, Yan-Hong 13 2017 Towards an \(L^p\) potential theory for sub-Markovian semigroups: kernels and capacities. Zbl 1104.31007 Jacob, Niels; Schilling, René L. 12 2006 Function spaces as Dirichlet spaces (about a paper by Maz’ya and Nagel). Zbl 1107.46027 Jacob, Niels; Schilling, René L. 12 2005 Feynman formulae for Feller semigroups. Zbl 1213.47047 Butko, Ya. A.; Smolyanov, O. G.; Schilling, R. L. 12 2010 Dirichlet operators and the positive maximum principle. Zbl 0994.31003 Schilling, Rene L. 10 2001 Progressive intrinsic ultracontractivity and heat kernel estimates for non-local Schrödinger operators. Zbl 1506.47078 Kaleta, Kamil; Schilling, René L. 9 2020 Weak convergence of finite element approximations of linear stochastic evolution equations with additive Lévy noise. Zbl 1335.60131 Kovács, Mihály; Lindner, Felix; Schilling, René L. 9 2015 On the structure of the domain of a symmetric jump-type Dirichlet form. Zbl 1241.31013 Schilling, René L.; Uemura, Toshihiro 8 2012 Harnack inequalities for SDEs driven by time-changed fractional Brownian motions. Zbl 1386.60147 Deng, Chang-Song; Schilling, René L. 8 2017 Detecting independence of random vectors: generalized distance covariance and Gaussian covariance. Zbl 1417.62158 Böttcher, Björn; Keller-Ressel, Martin; Schilling, René L. 8 2018 Packing dimension profiles and Lévy processes. Zbl 1266.60071 Khoshnevisan, D.; Schilling, R. L.; Xiao, Y. 7 2012 Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization. Zbl 1311.58006 Böttcher, B.; Butko, Ya. A.; Schilling, R. L.; Smolyanov, O. G. 7 2011 On the small-time behaviour of Lévy-type processes. Zbl 1309.60027 Knopova, Victoria; Schilling, René L. 7 2014 Adaptive wavelet methods for the stochastic Poisson equation. Zbl 1260.65003 Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 7 2012 A unified approach to coupling SDEs driven by Lévy noise and some applications. Zbl 1465.60039 Liang, Mingjie; Schilling, René L.; Wang, Jian 7 2020 On the domain of the generator of a subordinate semigroup. Zbl 0857.47025 Schilling, René L. 6 1996 Hamiltonian Feynman-Kac and Feynman formulae for dynamics of particles with position-dependent mass. Zbl 1226.81114 Butko, Yana A.; Schilling, Rene L.; Smolyanov, Oleg G. 6 2011 An analytic proof of the Lévy-Khinchin formula on \(R^n\). Zbl 0928.42003 Jacob, Niels; Schilling, René L. 6 1998 A note on invariant sets. Zbl 1077.47045 Schilling, René L. 5 2004 Lower bounds of the Hausdorff dimension for the images of Feller processes. Zbl 1351.60043 Knopova, V.; Schilling, R. L.; Wang, J. 5 2015 Fractional derivatives, non-symmetric and time-dependent Dirichlet forms and the drift form. Zbl 0970.31008 Jacob, N.; Schilling, R. L. 5 2000 On the path behavior of Markov processes comparable with Lévy processes. (Zum Pfadverhalten von Markovschen Prozessen, die mit Lévy-Prozessen vergleichbar sind.) Zbl 0805.60032 Schilling, René Leander 5 1994 Itô and Stratonovich integrals on compound renewal processes: the normal/Poisson case. Zbl 1221.60129 Germano, Guido; Politi, Mauro; Scalas, Enrico; Schilling, René L. 5 2010 Sobolev embedding for stochastic processes. Zbl 0970.60044 Schilling, René L. 5 2000 Convolution inequalities for Besov and Triebel-Lizorkin spaces, and applications to convolution semigroups. Zbl 1484.46042 Kühn, Franziska; Schilling, René L. 5 2022 On a Cameron-Martin type quasi-invariance theorem and applications to subordinate Brownian motion. Zbl 1329.60289 Deng, Chang-Song; Schilling, René L. 4 2015 On level and collision sets of some Feller processes. Zbl 1351.60044 Knopova, Victoria; Schilling, René L. 4 2015 Convergence analysis of spatially adaptive Rothe methods. Zbl 1309.65107 Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Friedrich, Ulrich; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 4 2014 On the Liouville and strong Liouville properties for a class of non-local operators. Zbl 07572348 Berger, David; Schilling, René L. 4 2022 Lévy processes, generalized moments and uniform integrability. Zbl 1520.60027 Berger, D.; Kühn, F.; Schilling, R. L. 4 2022 A probabilistic proof of Schoenberg’s theorem. Zbl 1486.60032 Kühn, Franziska; Schilling, René L. 4 2019 Estimates for Feller semigroups generated by pseudodifferential operators. Zbl 0931.35204 Jacob, Niels; Schilling, René L. 3 1996 Transience and non-explosion of certain stochastic Newtonian systems. Zbl 1013.60042 Kolokol’tsov, V. N.; Schilling, R. L.; Tyukov, A. E. 3 2002 Stationary distributions for jump processes with inert drift. Zbl 1291.60170 Burdzy, K.; Kulczycki, T.; Schilling, R. L. 3 2013 A probabilistic inequality related to negative definite functions. Zbl 1270.60030 Lifshits, Mikhail; Schilling, René L.; Tyurin, Ilya 3 2013 Brownian motion. A guide to random processes and stochastic calculus. With a chapter on simulation by Björn Böttcher. 3rd revised and extended edition. Zbl 1485.60003 Schilling, René L. 3 2021 Absolute continuity and singularity of probability measures induced by a purely discontinuous Girsanov transform of a stable process. Zbl 1359.60054 Schilling, René L.; Vondraček, Zoran 3 2017 Homogenization of symmetric Lévy processes on \(\mathbb{R}^d\). Zbl 1524.60095 Schilling, René L.; Uemura, Toshihiro 3 2021 For which functions are \(f(X_t)-\mathbb{E} f(X_t)\) and \(g(X_t)/\mathbb{E} g(X_t)\) martingales? Zbl 1490.60100 Kühn, F.; Schilling, R. L. 3 2021 On a Poincaré-type inequality for energy forms in \(L^p\). Zbl 1150.31003 Jacob, Niels; Schilling, René L. 2 2007 Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations. Zbl 1060.70025 Kolokol’tsov, Vassili N.; Schilling, René L.; Tyukov, Alexei E. 2 2004 Adaptive wavelet methods for SPDEs. Zbl 1317.60084 Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 2 2014 Comparable processes and the Hausdorff dimension of their sample paths. Zbl 0888.60035 Schilling, René L. 2 1996 Selected papers I. Edited by René L. Schilling, Zoran Vondraček and Wojbor A. Woyczynski. Zbl 1315.01001 Feller, William 2 2015 Selected papers II. Edited by René L. Schilling, Zoran Vondraček and Wojbor A. Woyczynski. Zbl 1315.01002 Feller, William 2 2015 Subordination in the sense of S. Bochner – An approach through pseudo differential operators. Zbl 0923.47023 Jacob, Niels; Schilling, René L. 2 1996 Bochner’s subordination and fractional caloric smoothing in Besov and Triebel-Lizorkin spaces. Zbl 1534.46036 Knopova, Victoriya; Schilling, René L. 2 2022 Correction to: “Subgeometric rates of convergence for Markov processes under subordination”. Zbl 1430.60062 Deng, C.-S.; Schilling, R. L.; Song, Y.-H. 2 2018 Maximal inequalities and some applications. Zbl 1515.60064 Kühn, Franziska; Schilling, René L. 2 2023 Stationary distributions for jump processes with memory. Zbl 1263.60072 Burdzy, K.; Kulczycki, T.; Schilling, R. L. 1 2012 When does a càdlàg process have continuous sample paths? Zbl 0830.60036 Schilling, René L. 1 1994 Extended \(L^p\) Dirichlet spaces. Zbl 1189.31012 Jacob, Niels; Schilling, René L. 1 2010 Markov chain approximation of pure jump processes. Zbl 1417.60068 Mimica, Ante; Sandrić, Nikola; Schilling, René L. 1 2018 On \(q\)-scale functions of spectrally negative Lévy processes. Zbl 1527.60034 Behme, Anita; Oechsler, David; Schilling, René 1 2023 The Liouville theorem for a class of Fourier multipliers and its connection to coupling. Zbl 07879083 Berger, David; Schilling, René L.; Shargorodsky, Eugene 1 2024 Maximal inequalities and some applications. Zbl 1515.60064 Kühn, Franziska; Schilling, René L. 2 2023 On \(q\)-scale functions of spectrally negative Lévy processes. Zbl 1527.60034 Behme, Anita; Oechsler, David; Schilling, René 1 2023 Convolution inequalities for Besov and Triebel-Lizorkin spaces, and applications to convolution semigroups. Zbl 1484.46042 Kühn, Franziska; Schilling, René L. 5 2022 On the Liouville and strong Liouville properties for a class of non-local operators. Zbl 07572348 Berger, David; Schilling, René L. 4 2022 Lévy processes, generalized moments and uniform integrability. Zbl 1520.60027 Berger, D.; Kühn, F.; Schilling, R. L. 4 2022 Bochner’s subordination and fractional caloric smoothing in Besov and Triebel-Lizorkin spaces. Zbl 1534.46036 Knopova, Victoriya; Schilling, René L. 2 2022 Singular integrals of subordinators with applications to structural properties of SPDEs. Zbl 1501.60030 Deng, Chang-Song; Schilling, René L.; Xu, Lihu 1 2022 Construction and heat kernel estimates of general stable-like Markov processes. Zbl 1485.60072 Knopova, Victoria; Kulik, Alexei; Schilling, René L. 15 2021 Brownian motion. A guide to random processes and stochastic calculus. With a chapter on simulation by Björn Böttcher. 3rd revised and extended edition. Zbl 1485.60003 Schilling, René L. 3 2021 Homogenization of symmetric Lévy processes on \(\mathbb{R}^d\). Zbl 1524.60095 Schilling, René L.; Uemura, Toshihiro 3 2021 For which functions are \(f(X_t)-\mathbb{E} f(X_t)\) and \(g(X_t)/\mathbb{E} g(X_t)\) martingales? Zbl 1490.60100 Kühn, F.; Schilling, R. L. 3 2021 Counterexamples in measure and integration. Zbl 1480.28011 Schilling, René L.; Kühn, Franziska 1 2021 Progressive intrinsic ultracontractivity and heat kernel estimates for non-local Schrödinger operators. Zbl 1506.47078 Kaleta, Kamil; Schilling, René L. 9 2020 A unified approach to coupling SDEs driven by Lévy noise and some applications. Zbl 1465.60039 Liang, Mingjie; Schilling, René L.; Wang, Jian 7 2020 On the domain of fractional Laplacians and related generators of Feller processes. Zbl 1464.60044 Kühn, Franziska; Schilling, René L. 19 2019 Strong convergence of the Euler-Maruyama approximation for a class of Lévy-driven SDEs. Zbl 1422.60097 Kühn, Franziska; Schilling, René L. 19 2019 Distance multivariance: new dependence measures for random vectors. Zbl 1467.62104 Böttcher, Björn; Keller-Ressel, Martin; Schilling, René L. 15 2019 A probabilistic proof of Schoenberg’s theorem. Zbl 1486.60032 Kühn, Franziska; Schilling, René L. 4 2019 Exact asymptotic formulas for the heat kernels of space and time-fractional equations. Zbl 1434.60206 Deng, Chang-Song; Schilling, René L. 1 2019 Detecting independence of random vectors: generalized distance covariance and Gaussian covariance. Zbl 1417.62158 Böttcher, Björn; Keller-Ressel, Martin; Schilling, René L. 8 2018 Correction to: “Subgeometric rates of convergence for Markov processes under subordination”. Zbl 1430.60062 Deng, C.-S.; Schilling, R. L.; Song, Y.-H. 2 2018 Markov chain approximation of pure jump processes. Zbl 1417.60068 Mimica, Ante; Sandrić, Nikola; Schilling, René L. 1 2018 Measures, integrals and martingales. 2nd edition. Zbl 1360.28001 Schilling, René L. 39 2017 Subgeometric rates of convergence for Markov processes under subordination. Zbl 1425.60064 Deng, Chang-Song; Schilling, René L.; Song, Yan-Hong 13 2017 Harnack inequalities for SDEs driven by time-changed fractional Brownian motions. Zbl 1386.60147 Deng, Chang-Song; Schilling, René L. 8 2017 Absolute continuity and singularity of probability measures induced by a purely discontinuous Girsanov transform of a stable process. Zbl 1359.60054 Schilling, René L.; Vondraček, Zoran 3 2017 From Lévy-type processes to parabolic SPDEs. Edited by Lluís Quer-Sardanyons and Frederic Utzet. Zbl 1382.60005 Khoshnevisan, Davar; Schilling, René 24 2016 Reflected spectrally negative stable processes and their governing equations. Zbl 1378.60075 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M.; Schilling, René L.; Straka, Peter 21 2016 On the convergence analysis of the inexact linearly implicit Euler scheme for a class of stochastic partial differential equations. Zbl 1337.60160 Cioica, P. A.; Dahlke, S.; Döhring, N.; Friedrich, U.; Kinzel, S.; Lindner, F.; Raasch, T.; Ritter, K.; Schilling, René L. 1 2016 Complete Bernstein functions and subordinators with nested ranges. A note on a paper by P. Marchal. Zbl 1355.26010 Deng, Chang-Song; Schilling, René L. 1 2016 Asymptotic properties of Brownian motion delayed by inverse subordinators. Zbl 1329.60291 Magdziarz, Marcin; Schilling, René L. 36 2015 On shift Harnack inequalities for subordinate semigroups and moment estimates for Lévy processes. Zbl 1328.60118 Deng, Chang-Song; Schilling, René L. 23 2015 Stochastic solutions for fractional wave equations. Zbl 1345.35134 Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla 22 2015 Lower bounded semi-Dirichlet forms associated with Lévy type operators. Zbl 1336.31030 Schilling, René L.; Wang, Jian 17 2015 Weak convergence of finite element approximations of linear stochastic evolution equations with additive Lévy noise. Zbl 1335.60131 Kovács, Mihály; Lindner, Felix; Schilling, René L. 9 2015 Lower bounds of the Hausdorff dimension for the images of Feller processes. Zbl 1351.60043 Knopova, V.; Schilling, R. L.; Wang, J. 5 2015 On a Cameron-Martin type quasi-invariance theorem and applications to subordinate Brownian motion. Zbl 1329.60289 Deng, Chang-Song; Schilling, René L. 4 2015 On level and collision sets of some Feller processes. Zbl 1351.60044 Knopova, Victoria; Schilling, René L. 4 2015 Selected papers I. Edited by René L. Schilling, Zoran Vondraček and Wojbor A. Woyczynski. Zbl 1315.01001 Feller, William 2 2015 Selected papers II. Edited by René L. Schilling, Zoran Vondraček and Wojbor A. Woyczynski. Zbl 1315.01002 Feller, William 2 2015 Correlation structure of time-changed Lévy processes. Zbl 1329.60118 Leonenko, Nikolai N.; Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla 41 2014 Brownian motion. An introduction to stochastic processes. With contributions by Björn Böttcher. 2nd revised and extended ed. Zbl 1283.60003 Schilling, René L.; Partzsch, Lothar 27 2014 On the small-time behaviour of Lévy-type processes. Zbl 1309.60027 Knopova, Victoria; Schilling, René L. 7 2014 Convergence analysis of spatially adaptive Rothe methods. Zbl 1309.65107 Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Friedrich, Ulrich; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 4 2014 Adaptive wavelet methods for SPDEs. Zbl 1317.60084 Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 2 2014 Lévy matters III. Lévy-type processes: construction, approximation and sample path properties. Zbl 1384.60004 Böttcher, Björn; Schilling, René; Wang, Jian 158 2013 A note on the existence of transition probability densities of Lévy processes. Zbl 1269.60050 Knopova, Victoria; Schilling, René L. 65 2013 Some theorems on Feller processes: transience, local times and ultracontractivity. Zbl 1282.60070 Schilling, René L.; Wang, Jian 22 2013 Weak order for the discretization of the stochastic heat equation driven by impulsive noise. Zbl 1263.60058 Lindner, Felix; Schilling, René L. 16 2013 Stationary distributions for jump processes with inert drift. Zbl 1291.60170 Burdzy, K.; Kulczycki, T.; Schilling, R. L. 3 2013 A probabilistic inequality related to negative definite functions. Zbl 1270.60030 Lifshits, Mikhail; Schilling, René L.; Tyurin, Ilya 3 2013 Bernstein functions. Theory and applications. 2nd revised and extended ed. Zbl 1257.33001 Schilling, René L.; Song, Renming; Vondraček, Zoran 377 2012 Coupling property and gradient estimates of Lévy processes via the symbol. Zbl 1263.60045 Schilling, René L.; Sztonyk, Paweł; Wang, Jian 52 2012 Transition density estimates for a class of Lévy and Lévy-type processes. Zbl 1242.60082 Knopova, Viktorya; Schilling, René L. 24 2012 On the coupling property and the Liouville theorem for Ornstein-Uhlenbeck processes. Zbl 1247.60113 Schilling, René L.; Wang, Jian 21 2012 Strong Feller continuity of Feller processes and semigroups. Zbl 1258.60047 Schilling, René L.; Wang, Jian 21 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. 20 2012 Brownian motion. An introduction to stochastic processes. With a chapter on simulation by Björn Böttcher. Zbl 1258.60002 Schilling, René L.; Partzsch, Lothar 19 2012 Functional inequalities and subordination: Stability of Nash and Poincaré inequalities. Zbl 1259.47058 Schilling, René L.; Wang, Jian 16 2012 Lagrangian and Hamiltonian Feynman formulae for some Feller semigroups and their perturbations. Zbl 1273.47070 Butko, Yana A.; Schilling, René L.; Smolyanov, Oleg G. 15 2012 On the structure of the domain of a symmetric jump-type Dirichlet form. Zbl 1241.31013 Schilling, René L.; Uemura, Toshihiro 8 2012 Packing dimension profiles and Lévy processes. Zbl 1266.60071 Khoshnevisan, D.; Schilling, R. L.; Xiao, Y. 7 2012 Adaptive wavelet methods for the stochastic Poisson equation. Zbl 1260.65003 Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 7 2012 Stationary distributions for jump processes with memory. Zbl 1263.60072 Burdzy, K.; Kulczycki, T.; Schilling, R. L. 1 2012 On the coupling property of Lévy processes. Zbl 1268.60061 Schilling, René L.; Wang, Jian 22 2011 Constructions of coupling processes for Lévy processes. Zbl 1217.60035 Böttcher, Björn; Schilling, René L.; Wang, Jian 20 2011 From Schoenberg to Pick-Nevanlinna: toward a complete picture of the variogram class. Zbl 1280.60032 Porcu, Emilio; Schilling, René L. 15 2011 Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains. Zbl 1250.60026 Cioica, Petru A.; Dahlke, Stephan; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 14 2011 Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization. Zbl 1311.58006 Böttcher, B.; Butko, Ya. A.; Schilling, R. L.; Smolyanov, O. G. 7 2011 Hamiltonian Feynman-Kac and Feynman formulae for dynamics of particles with position-dependent mass. Zbl 1226.81114 Butko, Yana A.; Schilling, Rene L.; Smolyanov, Oleg G. 6 2011 Bernstein functions. Theory and applications. Zbl 1197.33002 Schilling, René L.; Song, Renming; Vondraček, Zoran 236 2010 The symbol associated with the solution of a stochastic differential equation. Zbl 1226.60116 Schilling, Rene L.; Schnurr, Alexander 50 2010 Feynman formulae for Feller semigroups. Zbl 1213.47047 Butko, Ya. A.; Smolyanov, O. G.; Schilling, R. L. 12 2010 Itô and Stratonovich integrals on compound renewal processes: the normal/Poisson case. Zbl 1221.60129 Germano, Guido; Politi, Mauro; Scalas, Enrico; Schilling, René L. 5 2010 Extended \(L^p\) Dirichlet spaces. Zbl 1189.31012 Jacob, Niels; Schilling, René L. 1 2010 Approximation of Feller processes by Markov chains with Lévy increments. Zbl 1168.60359 Böttcher, Björn; Schilling, René L. 20 2009 On the Feller property of Dirichlet forms generated by pseudo differential operators. Zbl 1141.31006 Schilling, René L.; Uemura, Toshihiro 28 2007 On a Poincaré-type inequality for energy forms in \(L^p\). Zbl 1150.31003 Jacob, Niels; Schilling, René L. 2 2007 Towards an \(L^p\) potential theory for sub-Markovian semigroups: kernels and capacities. Zbl 1104.31007 Jacob, Niels; Schilling, René L. 12 2006 Measures, integrals and martingales. Zbl 1084.28001 Schilling, René L. 46 2005 Function spaces as Dirichlet spaces (about a paper by Maz’ya and Nagel). Zbl 1107.46027 Jacob, Niels; Schilling, René L. 12 2005 A note on invariant sets. Zbl 1077.47045 Schilling, René L. 5 2004 Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations. Zbl 1060.70025 Kolokol’tsov, Vassili N.; Schilling, René L.; Tyukov, Alexei E. 2 2004 Transience and non-explosion of certain stochastic Newtonian systems. Zbl 1013.60042 Kolokol’tsov, V. N.; Schilling, R. L.; Tyukov, A. E. 3 2002 Function spaces related to continuous negative definite functions: \(\psi\)-Bessel potential spaces. Zbl 0990.46018 Farkas, Walter; Jacob, Niels; Schilling, René L. 40 2001 Lévy-type processes and pseudodifferential operators. Zbl 0984.60054 Jacob, Niels; Schilling, René L. 40 2001 Feller semigroup, \(L^p\)-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols. Zbl 0978.47031 Farkas, Walter; Jacob, Niels; Schilling, René L. 20 2001 Dirichlet operators and the positive maximum principle. Zbl 0994.31003 Schilling, Rene L. 10 2001 Function spaces as path spaces of Feller processes. Zbl 0970.60043 Schilling, René L. 14 2000 Fractional derivatives, non-symmetric and time-dependent Dirichlet forms and the drift form. Zbl 0970.31008 Jacob, N.; Schilling, R. L. 5 2000 Sobolev embedding for stochastic processes. Zbl 0970.60044 Schilling, René L. 5 2000 Some Dirichlet spaces obtained by subordinate reflected diffusions. Zbl 0922.31011 Jacob, Niels; Schilling, René L. 18 1999 Growth and Hölder conditions for the sample paths of Feller processes. Zbl 0930.60013 Schilling, René L. 87 1998 Conservativeness and extensions of Feller semigroups. Zbl 0919.47033 Schilling, René L. 49 1998 Subordination in the sense of Bochner and a related functional calculus. Zbl 0920.47039 Schilling, René L. 30 1998 Feller processes generated by pseudo-differential operators: On the Hausdorff dimension of their sample paths. Zbl 0910.60028 Schilling, René L. 18 1998 Conservativeness of semigroups generated by pseudo differential operators. Zbl 0917.60066 Schilling, René L. 17 1998 An analytic proof of the Lévy-Khinchin formula on \(R^n\). Zbl 0928.42003 Jacob, Niels; Schilling, René L. 6 1998 On Feller processes with sample paths in Besov spaces. Zbl 0888.60036 Schilling, René L. 18 1997 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,495 Authors 59 Schilling, René Leander 53 Qi, Feng 51 Wang, Jian 27 Guo, Bai-Ni 25 Kim, Panki 22 Chen, Zhen-Qing 22 Grzywny, Tomasz 22 Kaleta, Kamil 22 Kühn, Franziska 20 Bogdan, Krzysztof 18 Song, Renming 16 Jacob, Niels 16 Leonenko, Nikolai N. 16 Sandrić, Nikola 15 Patie, Pierre 15 Vondraček, Zoran 14 Lörinczi, József 14 Porcu, Emilio 13 Deng, Changsong 13 Kovács, Mihály 12 Ascione, Giacomo 12 Knopova, Victoria Pavlovna 12 Kwaśnicki, Mateusz 12 Mai, Jan-Frederik 12 Meerschaert, Mark Marvin 11 Böttcher, Björn 11 Cygan, Wojciech 11 Kumagai, Takashi 11 Ryznar, Michał 11 Schnurr, Alexander 11 Sztonyk, Paweł 10 Kinderknecht, Yana A. 10 Gomilko, Alexandre M. 10 Toaldo, Bruno 10 Tomilov, Yuri 9 Beghin, Luisa 9 Kulczycki, Tadeusz 9 Kyprianou, Andreas E. 9 Pedersen, Henrik Laurberg 9 Uemura, Toshihiro 8 Bäumer, Boris 8 Bazhlekova, Emilia G. 8 Behme, Anita Diana 8 D’Ovidio, Mirko 8 Górska, Katarzyna 8 Kataria, Kuldeep Kumar 8 Khandakar, Mostafizar 8 Li, Lingfei 8 Menegatto, Valdir Antonio 8 Pietruska-Pałuba, Katarzyna 8 Pirozzi, Enrica 8 Röckner, Michael 8 Sandev, Trifce 8 Shiozawa, Yuichi 8 Smolyanov, Oleg Georgievich 8 Szczypkowski, Karol 8 Wang, Feng-Yu 7 Biswas, Anup 7 Deng, Weihua 7 Fageot, Julien 7 Horzela, Andrzej 7 Kang, Jaehoon 7 Karp, Dmitriĭ Borisovich 7 Kaßmann, Moritz 7 Metzler, Ralf 7 Mimica, Ante 7 Scherer, Matthias 7 Simon, Thomas 7 Xiao, Yimin 6 Applebaum, David B. 6 Chechkin, Aleksei V. 6 Evans, Kristian P. 6 Jakubowski, Tomasz 6 Jedidi, Wissem 6 Kim, KyeongHun 6 Klimsiak, Tomasz 6 Lim, Dongkyu 6 Majka, Mateusz B. 6 Mendoza-Arriaga, Rafael 6 Mikulevicius, Remigijus 6 Nane, Erkan 6 Pakes, Anthony G. 6 Ricciuti, Costantino 6 Šebek, Stjepan 6 Shi, Xiaoting 6 Torresblanca-Badillo, Anselmo 6 Zastavnyĭ, Viktor Petrovich 6 Zhang, Xicheng 5 Anh, Vo V. 5 Chavan, Sameer Laxman 5 Dahlke, Stephan 5 Hanyga, Andrzej 5 Hausenblas, Erika 5 Kim, Ildoo 5 Kobayashi, Kei 5 Kondrat’yev, Yuriĭ Grygorovych 5 Koumandos, Stamatis 5 Larsson, Stig 5 Leżaj, Łukasz 5 Lindner, Felix ...and 1,395 more Authors all top 5 Cited in 340 Serials 77 Stochastic Processes and their Applications 52 Journal of Mathematical Analysis and Applications 52 Journal of Theoretical Probability 43 Potential Analysis 42 Fractional Calculus & Applied Analysis 31 Statistics & Probability Letters 30 Bernoulli 29 Journal of Functional Analysis 28 Transactions of the American Mathematical Society 27 Mathematische Nachrichten 25 Journal of Differential Equations 25 Electronic Journal of Probability 19 Journal of Computational and Applied Mathematics 19 Annales de l’Institut Henri Poincaré. 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Issues of Analysis 3 Scandinavian Journal of Statistics 3 Automatica 3 Memoirs of the American Mathematical Society 3 Proceedings of the London Mathematical Society. Third Series 3 Quarterly of Applied Mathematics 3 SIAM Journal on Control and Optimization 3 Tôhoku Mathematical Journal. Second Series 3 Acta Applicandae Mathematicae 3 Applied Numerical Mathematics 3 Statistical Science 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Russian Journal of Mathematical Physics 3 Applied and Computational Harmonic Analysis 3 Discrete and Continuous Dynamical Systems ...and 240 more Serials all top 5 Cited in 53 Fields 896 Probability theory and stochastic processes (60-XX) 374 Partial differential equations (35-XX) 255 Operator theory (47-XX) 182 Real functions (26-XX) 118 Special functions (33-XX) 106 Statistics (62-XX) 100 Numerical analysis (65-XX) 77 Potential theory (31-XX) 73 Functional analysis (46-XX) 66 Harmonic analysis on Euclidean spaces (42-XX) 65 Integral transforms, operational calculus (44-XX) 57 Integral equations (45-XX) 56 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Ordinary differential equations (34-XX) 42 Statistical mechanics, structure of matter (82-XX) 38 Measure and integration (28-XX) 38 Functions of a complex variable (30-XX) 32 Number theory (11-XX) 31 Combinatorics (05-XX) 29 Quantum theory (81-XX) 24 Dynamical systems and ergodic theory (37-XX) 23 Biology and other natural sciences (92-XX) 22 Abstract harmonic analysis (43-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 19 Approximations and expansions (41-XX) 17 Fluid mechanics (76-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Systems theory; control (93-XX) 12 Information and communication theory, circuits (94-XX) 11 Difference and functional equations (39-XX) 11 Computer science (68-XX) 11 Mechanics of deformable solids (74-XX) 11 Operations research, mathematical programming (90-XX) 7 Sequences, series, summability (40-XX) 7 Geophysics (86-XX) 5 Topological groups, Lie groups (22-XX) 5 Differential geometry (53-XX) 4 Group theory and generalizations (20-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Mathematical logic and foundations (03-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Associative rings and algebras (16-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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