Edit Profile Schilling, René Leander Compute Distance To: Compute Author ID: schilling.rene-leander Published as: Schilling, R.; Schilling, R. L.; Schilling, Rene L.; Schilling, René; Schilling, René L.; Schilling, René Leander External Links: MGP Documents Indexed: 102 Publications since 1994, including 14 Books Reviewing Activity: 233 Reviews all top 5 Co-Authors 20 single-authored 13 Jacob, Niels 12 Wang, Jian 7 Böttcher, Björn 7 Deng, Changsong 7 Lindner, Felix 5 Cioica, Petru A. 5 Dahlke, Stephan 5 Kinzel, Stefan 5 Kühn, Franziska 5 Raasch, Thorsten 5 Ritter, Klaus 4 Kinderknecht, Yana A. 4 Döhring, Nicolas 4 Knopova, Victoria P. 4 Smolyanov, Oleg Georgievich 3 Meerschaert, Mark M. 3 Vondraček, Zoran 2 Burdzy, Krzysztof 2 Farkas, Walter 2 Friedrich, Ulrich 2 Keller-Ressel, Martin 2 Khoshnevisan, Davar 2 Knopova, Viktorya 2 Kolokoltsov, Vassili N. 2 Kovács, Mihály 2 Kulczycki, Tadeusz 2 Partzsch, Lothar 2 Porcu, Emilio 2 Sikorskii, Alla 2 Song, Renming 2 Song, Yanhong 2 Tyukov, Alexei E. 2 Uemura, Toshihiro 1 Bäumer, Boris 1 Germano, Guido 1 Kaleta, Kamil 1 Knopova, Victorya 1 Kondratiev, Yuri 1 Landwehr, Sandra 1 Leonenko, Nikolai N. 1 Liang, Mingjie 1 Lifshits, Mikhail A. 1 Magdziarz, Marcin 1 Mimica, Ante 1 Mishura, Yuliya Stepanivna 1 Politi, Mauro 1 Sandrić, Nikola 1 Scalas, Enrico 1 Schnurr, Alexander 1 Straka, Peter 1 Sztonyk, Paweł 1 Tyurin, Ilya 1 Xiao, Yimin all top 5 Serials 5 Stochastic Processes and their Applications 4 Bernoulli 4 De Gruyter Studium 3 Transactions of the American Mathematical Society 3 Journal of Theoretical Probability 3 Potential Analysis 3 Electronic Journal of Probability 2 Advances in Applied Probability 2 Journal of Functional Analysis 2 Mathematische Nachrichten 2 Zeitschrift für Analysis und ihre Anwendungen 2 Statistics & Probability Letters 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 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Studia Mathematica 1 The Annals of Statistics 1 BIT 1 Bulletin of the London Mathematical Society 1 Dissertationes Mathematicae 1 Integral Equations and Operator Theory 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Publicationes Mathematicae 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Probability and Mathematical Statistics 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 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 Lecture Notes in Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Science China. Mathematics 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 1 De Gruyter Graduate all top 5 Fields 86 Probability theory and stochastic processes (60-XX) 28 Operator theory (47-XX) 24 Partial differential equations (35-XX) 15 Potential theory (31-XX) 9 Measure and integration (28-XX) 8 Numerical analysis (65-XX) 7 Functional analysis (46-XX) 4 Real functions (26-XX) 4 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 85 Publications have been cited 1,011 times in 605 Documents Cited by ▼ Year ▼ Bernstein functions. Theory and applications. 2nd revised and extended ed. Zbl 1257.33001Schilling, René L.; Song, Renming; Vondraček, Zoran 98 2012 Growth and Hölder conditions for the sample paths of Feller processes. Zbl 0930.60013Schilling, René L. 66 1998 Bernstein functions. Theory and applications. Zbl 1197.33002Schilling, René L.; Song, Renming; Vondraček, Zoran 65 2010 Lévy matters III. Lévy-type processes: construction, approximation and sample path properties. Zbl 1384.60004Böttcher, Björn; Schilling, René; Wang, Jian 45 2013 A note on the existence of transition probability densities of Lévy processes. Zbl 1269.60050Knopova, Victoria; Schilling, René L. 39 2013 Coupling property and gradient estimates of Lévy processes via the symbol. Zbl 1263.60045Schilling, René L.; Sztonyk, Paweł; Wang, Jian 36 2012 The symbol associated with the solution of a stochastic differential equation. Zbl 1226.60116Schilling, Rene L.; Schnurr, Alexander 34 2010 Conservativeness and extensions of Feller semigroups. Zbl 0919.47033Schilling, René L. 33 1998 Lévy-type processes and pseudodifferential operators. Zbl 0984.60054Jacob, Niels; Schilling, René L. 24 2001 Function spaces related to continuous negative definite functions: \(\psi\)-Bessel potential spaces. Zbl 0990.46018Farkas, Walter; Jacob, Niels; Schilling, René L. 23 2001 Subordination in the sense of Bochner and a related functional calculus. Zbl 0920.47039Schilling, René L. 23 1998 Measures, integrals and martingales. Zbl 1084.28001Schilling, René L. 22 2005 On the Feller property of Dirichlet forms generated by pseudo differential operators. Zbl 1141.31006Schilling, René L.; Uemura, Toshihiro 21 2007 Asymptotic properties of Brownian motion delayed by inverse subordinators. Zbl 1329.60291Magdziarz, Marcin; Schilling, René L. 20 2015 Transition density estimates for a class of Lévy and Lévy-type processes. Zbl 1242.60082Knopova, Viktorya; Schilling, René L. 17 2012 On the coupling property of Lévy processes. Zbl 1268.60061Schilling, René L.; Wang, Jian 16 2011 Some theorems on Feller processes: transience, local times and ultracontractivity. Zbl 1282.60070Schilling, René L.; Wang, Jian 15 2013 A geometric interpretation of the transition density of a symmetric Lévy process. Zbl 1279.60097Jacob, Niels; Knopova, Victorya; Landwehr, Sandra; Schilling, René L. 15 2012 Constructions of coupling processes for Lévy processes. Zbl 1217.60035Böttcher, Björn; Schilling, René L.; Wang, Jian 15 2011 Approximation of Feller processes by Markov chains with Lévy increments. Zbl 1168.60359Böttcher, Björn; Schilling, René L. 15 2009 Strong Feller continuity of Feller processes and semigroups. Zbl 1258.60047Schilling, René L.; Wang, Jian 14 2012 On the coupling property and the Liouville theorem for Ornstein-Uhlenbeck processes. Zbl 1247.60113Schilling, René L.; Wang, Jian 14 2012 On shift Harnack inequalities for subordinate semigroups and moment estimates for Lévy processes. Zbl 1328.60118Deng, Chang-Song; Schilling, René L. 13 2015 Weak order for the discretization of the stochastic heat equation driven by impulsive noise. Zbl 1263.60058Lindner, Felix; Schilling, René L. 13 2013 Lagrangian and Hamiltonian Feynman formulae for some Feller semigroups and their perturbations. Zbl 1273.47070Butko, Yana A.; Schilling, René L.; Smolyanov, Oleg G. 13 2012 Reflected spectrally negative stable processes and their governing equations. Zbl 1378.60075Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M.; Schilling, René L.; Straka, Peter 12 2016 Correlation structure of time-changed Lévy processes. Zbl 1329.60118Leonenko, Nikolai N.; Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla 12 2014 Brownian motion. An introduction to stochastic processes. With contributions by Björn Böttcher. 2nd revised and extended ed. Zbl 1283.60003Schilling, René L.; Partzsch, Lothar 11 2014 Functional inequalities and subordination: Stability of Nash and Poincaré inequalities. Zbl 1259.47058Schilling, René L.; Wang, Jian 11 2012 Feynman formulae for Feller semigroups. Zbl 1213.47047Butko, Ya. A.; Smolyanov, O. G.; Schilling, R. L. 11 2010 Feller semigroup, \(L^p\)-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols. Zbl 0978.47031Farkas, Walter; Jacob, Niels; Schilling, René L. 11 2001 Some Dirichlet spaces obtained by subordinate reflected diffusions. Zbl 0922.31011Jacob, Niels; Schilling, René L. 11 1999 Conservativeness of semigroups generated by pseudo differential operators. Zbl 0917.60066Schilling, René L. 11 1998 Feller processes generated by pseudo-differential operators: On the Hausdorff dimension of their sample paths. Zbl 0910.60028Schilling, René L. 11 1998 Stochastic solutions for fractional wave equations. Zbl 1345.35134Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla 10 2015 Function spaces as Dirichlet spaces (about a paper by Maz’ya and Nagel). Zbl 1107.46027Jacob, Niels; Schilling, René L. 9 2005 Function spaces as path spaces of Feller processes. Zbl 0970.60043Schilling, René L. 9 2000 From Schoenberg to Pick-Nevanlinna: toward a complete picture of the variogram class. Zbl 1280.60032Porcu, Emilio; Schilling, René L. 8 2011 Towards an \(L^p\) potential theory for sub-Markovian semigroups: kernels and capacities. Zbl 1104.31007Jacob, Niels; Schilling, René L. 8 2006 Lower bounded semi-Dirichlet forms associated with Lévy type operators. Zbl 1336.31030Schilling, René L.; Wang, Jian 7 2015 Packing dimension profiles and Lévy processes. Zbl 1266.60071Khoshnevisan, D.; Schilling, R. L.; Xiao, Y. 7 2012 Brownian motion. An introduction to stochastic processes. With a chapter on simulation by Björn Böttcher. Zbl 1258.60002Schilling, René L.; Partzsch, Lothar 7 2012 On the structure of the domain of a symmetric jump-type Dirichlet form. Zbl 1241.31013Schilling, René L.; Uemura, Toshihiro 7 2012 Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization. Zbl 1311.58006Böttcher, B.; Butko, Ya. A.; Schilling, R. L.; Smolyanov, O. G. 7 2011 Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains. Zbl 1250.60026Cioica, Petru A.; Dahlke, Stephan; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 7 2011 On Feller processes with sample paths in Besov spaces. Zbl 0888.60036Schilling, René L. 7 1997 Measures, integrals and martingales. 2nd edition. Zbl 1360.28001Schilling, René L. 6 2017 An analytic proof of the Lévy-Khinchin formula on \(R^n\). Zbl 0928.42003Jacob, Niels; Schilling, René L. 6 1998 On the domain of the generator of a subordinate semigroup. Zbl 0857.47025Schilling, René L. 6 1996 On the domain of fractional Laplacians and related generators of Feller processes. Zbl 07030902Kühn, Franziska; Schilling, René L. 5 2019 Adaptive wavelet methods for the stochastic Poisson equation. Zbl 1260.65003Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 5 2012 Hamiltonian Feynman-Kac and Feynman formulae for dynamics of particles with position-dependent mass. Zbl 1226.81114Butko, Yana A.; Schilling, Rene L.; Smolyanov, Oleg G. 5 2011 Dirichlet operators and the positive maximum principle. Zbl 0994.31003Schilling, Rene L. 5 2001 Convergence analysis of spatially adaptive Rothe methods. Zbl 1309.65107Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Friedrich, Ulrich; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 4 2014 Sobolev embedding for stochastic processes. Zbl 0970.60044Schilling, René L. 4 2000 On the path behavior of Markov processes comparable with Lévy processes. Zbl 0805.60032Schilling, René Leander 4 1994 Distance multivariance: new dependence measures for random vectors. Zbl 07114928Böttcher, Björn; Keller-Ressel, Martin; Schilling, René L. 3 2019 Subgeometric rates of convergence for Markov processes under subordination. Zbl 1425.60064Deng, Chang-Song; Schilling, René L.; Song, Yan-Hong 3 2017 From Lévy-type processes to parabolic SPDEs. Edited by Lluís Quer-Sardanyons and Frederic Utzet. Zbl 1382.60005Khoshnevisan, Davar; Schilling, René 3 2016 Weak convergence of finite element approximations of linear stochastic evolution equations with additive Lévy noise. Zbl 1335.60131Kovács, Mihály; Lindner, Felix; Schilling, René L. 3 2015 On a Cameron-Martin type quasi-invariance theorem and applications to subordinate Brownian motion. Zbl 1329.60289Deng, Chang-Song; Schilling, René L. 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 A probabilistic inequality related to negative definite functions. Zbl 1270.60030Lifshits, Mikhail; Schilling, René L.; Tyurin, Ilya 3 2013 A note on invariant sets. Zbl 1077.47045Schilling, René L. 3 2004 Fractional derivatives, non-symmetric and time-dependent Dirichlet forms and the drift form. Zbl 0970.31008Jacob, N.; Schilling, R. L. 3 2000 Subordination in the sense of S. Bochner – An approach through pseudo differential operators. Zbl 0923.47023Jacob, Niels; Schilling, René L. 3 1996 Detecting independence of random vectors: generalized distance covariance and Gaussian covariance. Zbl 1417.62158Böttcher, Björn; Keller-Ressel, Martin; Schilling, René L. 2 2018 Harnack inequalities for SDEs driven by time-changed fractional Brownian motions. Zbl 1386.60147Deng, Chang-Song; Schilling, René L. 2 2017 Absolute continuity and singularity of probability measures induced by a purely discontinuous Girsanov transform of a stable process. Zbl 1359.60054Schilling, René L.; Vondraček, Zoran 2 2017 On level and collision sets of some Feller processes. Zbl 1351.60044Knopova, Victoria; Schilling, René L. 2 2015 Itô and Stratonovich integrals on compound renewal processes: the normal/Poisson case. Zbl 1221.60129Germano, Guido; Politi, Mauro; Scalas, Enrico; Schilling, René L. 2 2010 Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations. Zbl 1060.70025Kolokol’tsov, Vassili N.; Schilling, René L.; Tyukov, Alexei E. 2 2004 Transience and non-explosion of certain stochastic Newtonian systems. Zbl 1013.60042Kolokol’tsov, V. N.; Schilling, R. L.; Tyukov, A. E. 2 2002 Comparable processes and the Hausdorff dimension of their sample paths. Zbl 0888.60035Schilling, René L. 2 1996 Estimates for Feller semigroups generated by pseudodifferential operators. Zbl 0931.35204Jacob, Niels; Schilling, René L. 2 1996 Exact asymptotic formulas for the heat kernels of space and time-fractional equations. Zbl 1434.60206Deng, Chang-Song; Schilling, René L. 1 2019 Strong convergence of the Euler-Maruyama approximation for a class of Lévy-driven SDEs. Zbl 1422.60097Kühn, Franziska; Schilling, René L. 1 2019 Correction to: “Subgeometric rates of convergence for Markov processes under subordination”. Zbl 1430.60062Deng, C.-S.; Schilling, R. L.; Song, Y.-H. 1 2018 Elastic strain engineering for ultralow mechanical dissipation. Zbl 1416.81216Ghadimi, A. H.; Fedorov, S. A.; Engelsen, N. J.; Bereyhi, M. J.; Schilling, R.; Wilson, D. J.; Kippenberg, T. J. 1 2018 On the convergence analysis of the inexact linearly implicit Euler scheme for a class of stochastic partial differential equations. Zbl 1337.60160Cioica, P. A.; Dahlke, S.; Döhring, N.; Friedrich, U.; Kinzel, S.; Lindner, F.; Raasch, T.; Ritter, K.; Schilling, René L. 1 2016 Adaptive wavelet methods for SPDEs. Zbl 1317.60084Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 1 2014 On the small-time behaviour of Lévy-type processes. Zbl 1309.60027Knopova, Victoria; Schilling, René L. 1 2014 Stationary distributions for jump processes with inert drift. Zbl 1291.60170Burdzy, K.; Kulczycki, T.; Schilling, R. L. 1 2013 On a Poincaré-type inequality for energy forms in \(L^p\). Zbl 1150.31003Jacob, Niels; Schilling, René L. 1 2007 When does a càdlàg process have continuous sample paths? Zbl 0830.60036Schilling, René L. 1 1994 On the domain of fractional Laplacians and related generators of Feller processes. Zbl 07030902Kühn, Franziska; Schilling, René L. 5 2019 Distance multivariance: new dependence measures for random vectors. Zbl 07114928Böttcher, Björn; Keller-Ressel, Martin; Schilling, René L. 3 2019 Exact asymptotic formulas for the heat kernels of space and time-fractional equations. Zbl 1434.60206Deng, Chang-Song; Schilling, René L. 1 2019 Strong convergence of the Euler-Maruyama approximation for a class of Lévy-driven SDEs. Zbl 1422.60097Kühn, Franziska; Schilling, René L. 1 2019 Detecting independence of random vectors: generalized distance covariance and Gaussian covariance. Zbl 1417.62158Böttcher, Björn; Keller-Ressel, Martin; Schilling, René L. 2 2018 Correction to: “Subgeometric rates of convergence for Markov processes under subordination”. Zbl 1430.60062Deng, C.-S.; Schilling, R. L.; Song, Y.-H. 1 2018 Elastic strain engineering for ultralow mechanical dissipation. Zbl 1416.81216Ghadimi, A. H.; Fedorov, S. A.; Engelsen, N. J.; Bereyhi, M. J.; Schilling, R.; Wilson, D. J.; Kippenberg, T. J. 1 2018 Measures, integrals and martingales. 2nd edition. Zbl 1360.28001Schilling, René L. 6 2017 Subgeometric rates of convergence for Markov processes under subordination. Zbl 1425.60064Deng, Chang-Song; Schilling, René L.; Song, Yan-Hong 3 2017 Harnack inequalities for SDEs driven by time-changed fractional Brownian motions. Zbl 1386.60147Deng, Chang-Song; Schilling, René L. 2 2017 Absolute continuity and singularity of probability measures induced by a purely discontinuous Girsanov transform of a stable process. Zbl 1359.60054Schilling, René L.; Vondraček, Zoran 2 2017 Reflected spectrally negative stable processes and their governing equations. Zbl 1378.60075Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M.; Schilling, René L.; Straka, Peter 12 2016 From Lévy-type processes to parabolic SPDEs. Edited by Lluís Quer-Sardanyons and Frederic Utzet. Zbl 1382.60005Khoshnevisan, Davar; Schilling, René 3 2016 On the convergence analysis of the inexact linearly implicit Euler scheme for a class of stochastic partial differential equations. Zbl 1337.60160Cioica, P. A.; Dahlke, S.; Döhring, N.; Friedrich, U.; Kinzel, S.; Lindner, F.; Raasch, T.; Ritter, K.; Schilling, René L. 1 2016 Asymptotic properties of Brownian motion delayed by inverse subordinators. Zbl 1329.60291Magdziarz, Marcin; Schilling, René L. 20 2015 On shift Harnack inequalities for subordinate semigroups and moment estimates for Lévy processes. Zbl 1328.60118Deng, Chang-Song; Schilling, René L. 13 2015 Stochastic solutions for fractional wave equations. Zbl 1345.35134Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla 10 2015 Lower bounded semi-Dirichlet forms associated with Lévy type operators. Zbl 1336.31030Schilling, René L.; Wang, Jian 7 2015 Weak convergence of finite element approximations of linear stochastic evolution equations with additive Lévy noise. Zbl 1335.60131Kovács, Mihály; Lindner, Felix; Schilling, René L. 3 2015 On a Cameron-Martin type quasi-invariance theorem and applications to subordinate Brownian motion. Zbl 1329.60289Deng, Chang-Song; Schilling, René L. 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 On level and collision sets of some Feller processes. Zbl 1351.60044Knopova, Victoria; Schilling, René L. 2 2015 Correlation structure of time-changed Lévy processes. Zbl 1329.60118Leonenko, Nikolai N.; Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla 12 2014 Brownian motion. An introduction to stochastic processes. With contributions by Björn Böttcher. 2nd revised and extended ed. Zbl 1283.60003Schilling, René L.; Partzsch, Lothar 11 2014 Convergence analysis of spatially adaptive Rothe methods. Zbl 1309.65107Cioica, 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 1317.60084Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 1 2014 On the small-time behaviour of Lévy-type processes. Zbl 1309.60027Knopova, Victoria; Schilling, René L. 1 2014 Lévy matters III. Lévy-type processes: construction, approximation and sample path properties. Zbl 1384.60004Böttcher, Björn; Schilling, René; Wang, Jian 45 2013 A note on the existence of transition probability densities of Lévy processes. Zbl 1269.60050Knopova, Victoria; Schilling, René L. 39 2013 Some theorems on Feller processes: transience, local times and ultracontractivity. Zbl 1282.60070Schilling, René L.; Wang, Jian 15 2013 Weak order for the discretization of the stochastic heat equation driven by impulsive noise. Zbl 1263.60058Lindner, Felix; Schilling, René L. 13 2013 A probabilistic inequality related to negative definite functions. Zbl 1270.60030Lifshits, Mikhail; Schilling, René L.; Tyurin, Ilya 3 2013 Stationary distributions for jump processes with inert drift. Zbl 1291.60170Burdzy, K.; Kulczycki, T.; Schilling, R. L. 1 2013 Bernstein functions. Theory and applications. 2nd revised and extended ed. Zbl 1257.33001Schilling, René L.; Song, Renming; Vondraček, Zoran 98 2012 Coupling property and gradient estimates of Lévy processes via the symbol. Zbl 1263.60045Schilling, René L.; Sztonyk, Paweł; Wang, Jian 36 2012 Transition density estimates for a class of Lévy and Lévy-type processes. Zbl 1242.60082Knopova, Viktorya; Schilling, René L. 17 2012 A geometric interpretation of the transition density of a symmetric Lévy process. Zbl 1279.60097Jacob, Niels; Knopova, Victorya; Landwehr, Sandra; Schilling, René L. 15 2012 Strong Feller continuity of Feller processes and semigroups. Zbl 1258.60047Schilling, René L.; Wang, Jian 14 2012 On the coupling property and the Liouville theorem for Ornstein-Uhlenbeck processes. Zbl 1247.60113Schilling, René L.; Wang, Jian 14 2012 Lagrangian and Hamiltonian Feynman formulae for some Feller semigroups and their perturbations. Zbl 1273.47070Butko, Yana A.; Schilling, René L.; Smolyanov, Oleg G. 13 2012 Functional inequalities and subordination: Stability of Nash and Poincaré inequalities. Zbl 1259.47058Schilling, René L.; Wang, Jian 11 2012 Packing dimension profiles and Lévy processes. Zbl 1266.60071Khoshnevisan, D.; Schilling, R. L.; Xiao, Y. 7 2012 Brownian motion. An introduction to stochastic processes. With a chapter on simulation by Björn Böttcher. Zbl 1258.60002Schilling, René L.; Partzsch, Lothar 7 2012 On the structure of the domain of a symmetric jump-type Dirichlet form. Zbl 1241.31013Schilling, René L.; Uemura, Toshihiro 7 2012 Adaptive wavelet methods for the stochastic Poisson equation. Zbl 1260.65003Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 5 2012 On the coupling property of Lévy processes. Zbl 1268.60061Schilling, René L.; Wang, Jian 16 2011 Constructions of coupling processes for Lévy processes. Zbl 1217.60035Böttcher, Björn; Schilling, René L.; Wang, Jian 15 2011 From Schoenberg to Pick-Nevanlinna: toward a complete picture of the variogram class. Zbl 1280.60032Porcu, Emilio; Schilling, René L. 8 2011 Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization. Zbl 1311.58006Böttcher, B.; Butko, Ya. A.; Schilling, R. L.; Smolyanov, O. G. 7 2011 Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains. Zbl 1250.60026Cioica, Petru A.; Dahlke, Stephan; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L. 7 2011 Hamiltonian Feynman-Kac and Feynman formulae for dynamics of particles with position-dependent mass. Zbl 1226.81114Butko, Yana A.; Schilling, Rene L.; Smolyanov, Oleg G. 5 2011 Bernstein functions. Theory and applications. Zbl 1197.33002Schilling, René L.; Song, Renming; Vondraček, Zoran 65 2010 The symbol associated with the solution of a stochastic differential equation. Zbl 1226.60116Schilling, Rene L.; Schnurr, Alexander 34 2010 Feynman formulae for Feller semigroups. Zbl 1213.47047Butko, Ya. A.; Smolyanov, O. G.; Schilling, R. L. 11 2010 Itô and Stratonovich integrals on compound renewal processes: the normal/Poisson case. Zbl 1221.60129Germano, Guido; Politi, Mauro; Scalas, Enrico; Schilling, René L. 2 2010 Approximation of Feller processes by Markov chains with Lévy increments. Zbl 1168.60359Böttcher, Björn; Schilling, René L. 15 2009 On the Feller property of Dirichlet forms generated by pseudo differential operators. Zbl 1141.31006Schilling, René L.; Uemura, Toshihiro 21 2007 On a Poincaré-type inequality for energy forms in \(L^p\). Zbl 1150.31003Jacob, Niels; Schilling, René L. 1 2007 Towards an \(L^p\) potential theory for sub-Markovian semigroups: kernels and capacities. Zbl 1104.31007Jacob, Niels; Schilling, René L. 8 2006 Measures, integrals and martingales. Zbl 1084.28001Schilling, René L. 22 2005 Function spaces as Dirichlet spaces (about a paper by Maz’ya and Nagel). Zbl 1107.46027Jacob, Niels; Schilling, René L. 9 2005 A note on invariant sets. Zbl 1077.47045Schilling, René L. 3 2004 Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations. Zbl 1060.70025Kolokol’tsov, Vassili N.; Schilling, René L.; Tyukov, Alexei E. 2 2004 Transience and non-explosion of certain stochastic Newtonian systems. Zbl 1013.60042Kolokol’tsov, V. N.; Schilling, R. L.; Tyukov, A. E. 2 2002 Lévy-type processes and pseudodifferential operators. Zbl 0984.60054Jacob, Niels; Schilling, René L. 24 2001 Function spaces related to continuous negative definite functions: \(\psi\)-Bessel potential spaces. Zbl 0990.46018Farkas, Walter; Jacob, Niels; Schilling, René L. 23 2001 Feller semigroup, \(L^p\)-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols. Zbl 0978.47031Farkas, Walter; Jacob, Niels; Schilling, René L. 11 2001 Dirichlet operators and the positive maximum principle. Zbl 0994.31003Schilling, Rene L. 5 2001 Function spaces as path spaces of Feller processes. Zbl 0970.60043Schilling, René L. 9 2000 Sobolev embedding for stochastic processes. Zbl 0970.60044Schilling, René L. 4 2000 Fractional derivatives, non-symmetric and time-dependent Dirichlet forms and the drift form. Zbl 0970.31008Jacob, N.; Schilling, R. L. 3 2000 Some Dirichlet spaces obtained by subordinate reflected diffusions. Zbl 0922.31011Jacob, Niels; Schilling, René L. 11 1999 Growth and Hölder conditions for the sample paths of Feller processes. Zbl 0930.60013Schilling, René L. 66 1998 Conservativeness and extensions of Feller semigroups. Zbl 0919.47033Schilling, René L. 33 1998 Subordination in the sense of Bochner and a related functional calculus. Zbl 0920.47039Schilling, René L. 23 1998 Conservativeness of semigroups generated by pseudo differential operators. Zbl 0917.60066Schilling, René L. 11 1998 Feller processes generated by pseudo-differential operators: On the Hausdorff dimension of their sample paths. Zbl 0910.60028Schilling, René L. 11 1998 An analytic proof of the Lévy-Khinchin formula on \(R^n\). Zbl 0928.42003Jacob, Niels; Schilling, René L. 6 1998 On Feller processes with sample paths in Besov spaces. Zbl 0888.60036Schilling, René L. 7 1997 On the domain of the generator of a subordinate semigroup. Zbl 0857.47025Schilling, René L. 6 1996 Subordination in the sense of S. Bochner – An approach through pseudo differential operators. Zbl 0923.47023Jacob, Niels; Schilling, René L. 3 1996 Comparable processes and the Hausdorff dimension of their sample paths. Zbl 0888.60035Schilling, René L. 2 1996 Estimates for Feller semigroups generated by pseudodifferential operators. Zbl 0931.35204Jacob, Niels; Schilling, René L. 2 1996 On the path behavior of Markov processes comparable with Lévy processes. Zbl 0805.60032Schilling, René Leander 4 1994 When does a càdlàg process have continuous sample paths? Zbl 0830.60036Schilling, René L. 1 1994 all cited Publications top 5 cited Publications all top 5 Cited by 724 Authors 43 Schilling, René Leander 31 Wang, Jian 15 Kim, Panki 13 Chen, Zhen-Qing 13 Grzywny, Tomasz 13 Song, Renming 11 Bogdan, Krzysztof 11 Kaleta, Kamil 11 Kühn, Franziska 10 Böttcher, Björn 10 Jacob, Niels 10 Kovács, Mihály 10 Meerschaert, Mark M. 10 Qi, Feng 10 Vondraček, Zoran 9 Lörinczi, József 9 Sandrić, Nikola 9 Sztonyk, Paweł 8 Kinderknecht, Yana A. 8 Leonenko, Nikolai N. 8 Wang, Feng-Yu 7 Bäumer, Boris 7 Porcu, Emilio 7 Schnurr, Alexander 7 Smolyanov, Oleg Georgievich 7 Uemura, Toshihiro 7 Xiao, Yimin 6 Deng, Changsong 6 Guo, Bai-Ni 6 Kassmann, Moritz 6 Remizov, Ivan D. 6 Ryznar, Michał 5 Anh, Vo V. 5 Bazhlekova, Emilia G. 5 Dahlke, Stephan 5 D’Ovidio, Mirko 5 Fageot, Julien 5 Gomilko, Alexandre M. 5 Hanyga, Andrzej 5 Knopova, Victoria P. 5 Kulczycki, Tadeusz 5 Kumagai, Takashi 5 Maheshwari, Aditya 5 Mimica, Ante 5 Nane, Erkan 5 Röckner, Michael 5 Toaldo, Bruno 5 Tomilov, Yuri 5 Unser, Michael A. 5 Vellaisamy, Palaniappan 5 Yang, Xiaochuan 4 Behme, Anita Diana 4 Cygan, Wojciech 4 Larsson, Stig 4 Li, Lingfei 4 Lindner, Felix 4 Mai, Jan-Frederik 4 Mikulevicius, Remigijus 4 Patie, Pierre 4 Ruiz-Medina, María Dolores 4 Sakbaev, Vsevolod Zhanovich 4 Shiozawa, Yuichi 4 Sun, Wei 4 Zhang, Xicheng 4 Zhigljavsky, Anatoly A. 3 Applebaum, David B. 3 Bañuelos, Rodrigo 3 Bazhlekov, Ivan B. 3 Biswas, Anup 3 Chen, Xin 3 Cioica, Petru A. 3 Döhring, Nicolas 3 Evans, Kristian P. 3 Fahrenwaldt, Matthias Albrecht 3 Farkas, Walter 3 Hausenblas, Erika 3 Kim, Ildoo 3 Kim, KyeongHun 3 Kinzel, Stefan 3 Kolokoltsov, Vassili N. 3 Kwaśnicki, Mateusz 3 Kyprianou, Andreas E. 3 Ma, Zhi-Ming 3 Magdziarz, Marcin 3 Pronzato, Luc 3 Ricciuti, Costantino 3 Sankaranarayanan, Harish 3 Scherer, Matthias 3 Sikorskii, Alla 3 Tomovski, Živorad 3 Toniazzi, Lorenzo 3 Yang, Ting 3 Zähle, Martina 3 Zastavnyĭ, Viktor Petrovich 2 Abels, Helmut 2 Albeverio, Sergio A. 2 Anderssen, Robert Scott 2 Andersson, Adam 2 Angulo, José Miguel 2 Ascione, Giacomo ...and 624 more Authors all top 5 Cited in 197 Serials 40 Stochastic Processes and their Applications 30 Journal of Mathematical Analysis and Applications 28 Journal of Theoretical Probability 26 Potential Analysis 20 Bernoulli 19 Journal of Functional Analysis 19 Transactions of the American Mathematical Society 16 Statistics & Probability Letters 16 Fractional Calculus & Applied Analysis 12 Journal of Computational and Applied Mathematics 11 Journal of Differential Equations 10 Stochastic Analysis and Applications 10 Annales de l’Institut Henri Poincaré. 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Serie Quarta 2 The Annals of Statistics 2 Automatica 2 BIT 2 Journal of Approximation Theory 2 Journal of Econometrics 2 Journal of the London Mathematical Society. Second Series 2 Journal of Optimization Theory and Applications 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Osaka Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 SIAM Journal on Control and Optimization 2 Zeitschrift für Analysis und ihre Anwendungen 2 Probability and Mathematical Statistics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Numerical Mathematics 2 Constructive Approximation 2 Applied Mathematical Modelling 2 Linear Algebra and its Applications 2 SIAM Journal on Mathematical Analysis 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Statistical Papers 2 Electronic Communications in Probability 2 Doklady Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Vietnam Journal of Mathematics 2 Communications in Contemporary Mathematics 2 Communications on Pure and Applied Analysis 2 Dependence Modeling 2 SIAM/ASA Journal on Uncertainty Quantification 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Arkiv för Matematik 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Archiv der Mathematik ...and 97 more Serials all top 5 Cited in 43 Fields 423 Probability theory and stochastic processes (60-XX) 163 Partial differential equations (35-XX) 128 Operator theory (47-XX) 50 Potential theory (31-XX) 47 Real functions (26-XX) 47 Numerical analysis (65-XX) 42 Functional analysis (46-XX) 38 Statistics (62-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 28 Special functions (33-XX) 24 Measure and integration (28-XX) 21 Integral equations (45-XX) 18 Ordinary differential equations (34-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Integral transforms, operational calculus (44-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Quantum theory (81-XX) 11 Approximations and expansions (41-XX) 11 Abstract harmonic analysis (43-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Mechanics of deformable solids (74-XX) 9 Functions of a complex variable (30-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Systems theory; control (93-XX) 7 Combinatorics (05-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Fluid mechanics (76-XX) 5 Number theory (11-XX) 5 Operations research, mathematical programming (90-XX) 4 Biology and other natural sciences (92-XX) 4 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Sequences, series, summability (40-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 1 Algebraic geometry (14-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) Citations by Year