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Schilling, René Leander

Author ID: schilling.rene-leander Recent zbMATH articles by "Schilling, René Leander"
Published as: Schilling, René L.; Schilling, R. L.; Schilling, René; Schilling, Rene L.; Schilling, René Leander
Homepage: https://tu-dresden.de/mn/math/stochastik/schilling
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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 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 Bulletin of the London Mathematical Society
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 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

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 2,062 times in 1,303 Documents Cited by Year
Bernstein functions. Theory and applications. 2nd revised and extended ed. Zbl 1257.33001
Schilling, René L.; Song, Renming; Vondraček, Zoran
347
2012
Bernstein functions. Theory and applications. Zbl 1197.33002
Schilling, René L.; Song, Renming; Vondraček, Zoran
225
2010
Lévy matters III. Lévy-type processes: construction, approximation and sample path properties. Zbl 1384.60004
Böttcher, Björn; Schilling, René; Wang, Jian
146
2013
Growth and Hölder conditions for the sample paths of Feller processes. Zbl 0930.60013
Schilling, René L.
84
1998
A note on the existence of transition probability densities of Lévy processes. Zbl 1269.60050
Knopova, Victoria; Schilling, René L.
63
2013
Coupling property and gradient estimates of Lévy processes via the symbol. Zbl 1263.60045
Schilling, René L.; Sztonyk, Paweł; Wang, Jian
50
2012
The symbol associated with the solution of a stochastic differential equation. Zbl 1226.60116
Schilling, Rene L.; Schnurr, Alexander
46
2010
Conservativeness and extensions of Feller semigroups. Zbl 0919.47033
Schilling, René L.
46
1998
Measures, integrals and martingales. Zbl 1084.28001
Schilling, René L.
44
2005
Correlation structure of time-changed Lévy processes. Zbl 1329.60118
Leonenko, Nikolai N.; Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla
37
2014
Measures, integrals and martingales. 2nd edition. Zbl 1360.28001
Schilling, René L.
37
2017
Function spaces related to continuous negative definite functions: \(\psi\)-Bessel potential spaces. Zbl 0990.46018
Farkas, Walter; Jacob, Niels; Schilling, René L.
36
2001
Asymptotic properties of Brownian motion delayed by inverse subordinators. Zbl 1329.60291
Magdziarz, Marcin; Schilling, René L.
35
2015
Lévy-type processes and pseudodifferential operators. Zbl 0984.60054
Jacob, Niels; Schilling, René L.
35
2001
Subordination in the sense of Bochner and a related functional calculus. Zbl 0920.47039
Schilling, René L.
29
1998
On the Feller property of Dirichlet forms generated by pseudo differential operators. Zbl 1141.31006
Schilling, René L.; Uemura, Toshihiro
27
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
24
2014
Transition density estimates for a class of Lévy and Lévy-type processes. Zbl 1242.60082
Knopova, Viktorya; Schilling, René L.
23
2012
From Lévy-type processes to parabolic SPDEs. Edited by Lluís Quer-Sardanyons and Frederic Utzet. Zbl 1382.60005
Khoshnevisan, Davar; Schilling, René
21
2016
On the coupling property and the Liouville theorem for Ornstein-Uhlenbeck processes. Zbl 1247.60113
Schilling, René L.; Wang, Jian
21
2012
Stochastic solutions for fractional wave equations. Zbl 1345.35134
Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla
21
2015
Some theorems on Feller processes: transience, local times and ultracontractivity. Zbl 1282.60070
Schilling, René L.; Wang, Jian
21
2013
Approximation of Feller processes by Markov chains with Lévy increments. Zbl 1168.60359
Böttcher, Björn; Schilling, René L.
20
2009
On shift Harnack inequalities for subordinate semigroups and moment estimates for Lévy processes. Zbl 1328.60118
Deng, Chang-Song; Schilling, René L.
20
2015
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
On the coupling property of Lévy processes. Zbl 1268.60061
Schilling, René L.; Wang, Jian
19
2011
Strong Feller continuity of Feller processes and semigroups. Zbl 1258.60047
Schilling, René L.; Wang, Jian
19
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
19
2016
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.
19
2001
Constructions of coupling processes for Lévy processes. Zbl 1217.60035
Böttcher, Björn; Schilling, René L.; Wang, Jian
18
2011
Strong convergence of the Euler-Maruyama approximation for a class of Lévy-driven SDEs. Zbl 1422.60097
Kühn, Franziska; Schilling, René L.
18
2019
On the domain of fractional Laplacians and related generators of Feller processes. Zbl 1464.60044
Kühn, Franziska; Schilling, René L.
18
2019
On Feller processes with sample paths in Besov spaces. Zbl 0888.60036
Schilling, René L.
17
1997
Some Dirichlet spaces obtained by subordinate reflected diffusions. Zbl 0922.31011
Jacob, Niels; Schilling, René L.
17
1999
Brownian motion. An introduction to stochastic processes. With a chapter on simulation by Björn Böttcher. Zbl 1258.60002
Schilling, René L.; Partzsch, Lothar
17
2012
Lower bounded semi-Dirichlet forms associated with Lévy type operators. Zbl 1336.31030
Schilling, René L.; Wang, Jian
17
2015
Feller processes generated by pseudo-differential operators: On the Hausdorff dimension of their sample paths. Zbl 0910.60028
Schilling, René L.
17
1998
Conservativeness of semigroups generated by pseudo differential operators. Zbl 0917.60066
Schilling, René L.
17
1998
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.
14
2012
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
Distance multivariance: new dependence measures for random vectors. Zbl 1467.62104
Böttcher, Björn; Keller-Ressel, Martin; Schilling, René L.
13
2019
From Schoenberg to Pick-Nevanlinna: toward a complete picture of the variogram class. Zbl 1280.60032
Porcu, Emilio; Schilling, René L.
13
2011
Feynman formulae for Feller semigroups. Zbl 1213.47047
Butko, Ya. A.; Smolyanov, O. G.; Schilling, R. L.
12
2010
Towards an \(L^p\) potential theory for sub-Markovian semigroups: kernels and capacities. Zbl 1104.31007
Jacob, Niels; Schilling, René L.
12
2006
Subgeometric rates of convergence for Markov processes under subordination. Zbl 1425.60064
Deng, Chang-Song; Schilling, René L.; Song, Yan-Hong
12
2017
Construction and heat kernel estimates of general stable-like Markov processes. Zbl 1485.60072
Knopova, Victoria; Kulik, Alexei; Schilling, René L.
12
2021
Function spaces as Dirichlet spaces (about a paper by Maz’ya and Nagel). Zbl 1107.46027
Jacob, Niels; Schilling, René L.
11
2005
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
Dirichlet operators and the positive maximum principle. Zbl 0994.31003
Schilling, Rene L.
8
2001
On the structure of the domain of a symmetric jump-type Dirichlet form. Zbl 1241.31013
Schilling, René L.; Uemura, Toshihiro
8
2012
Progressive intrinsic ultracontractivity and heat kernel estimates for non-local Schrödinger operators. Zbl 1506.47078
Kaleta, Kamil; Schilling, René L.
8
2020
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
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
Packing dimension profiles and Lévy processes. Zbl 1266.60071
Khoshnevisan, D.; Schilling, R. L.; Xiao, Y.
7
2012
On the small-time behaviour of Lévy-type processes. Zbl 1309.60027
Knopova, Victoria; Schilling, René L.
7
2014
Detecting independence of random vectors: generalized distance covariance and Gaussian covariance. Zbl 1417.62158
Böttcher, Björn; Keller-Ressel, Martin; Schilling, René L.
6
2018
On the domain of the generator of a subordinate semigroup. Zbl 0857.47025
Schilling, René L.
6
1996
Harnack inequalities for SDEs driven by time-changed fractional Brownian motions. Zbl 1386.60147
Deng, Chang-Song; Schilling, René L.
6
2017
An analytic proof of the Lévy-Khinchin formula on \(R^n\). Zbl 0928.42003
Jacob, Niels; Schilling, René L.
6
1998
A unified approach to coupling SDEs driven by Lévy noise and some applications. Zbl 1465.60039
Liang, Mingjie; Schilling, René L.; Wang, Jian
5
2020
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
A note on invariant sets. Zbl 1077.47045
Schilling, René L.
5
2004
Fractional derivatives, non-symmetric and time-dependent Dirichlet forms and the drift form. Zbl 0970.31008
Jacob, N.; Schilling, R. L.
5
2000
Lower bounds of the Hausdorff dimension for the images of Feller processes. Zbl 1351.60043
Knopova, V.; Schilling, R. L.; Wang, J.
5
2015
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
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.
5
2011
A probabilistic proof of Schoenberg’s theorem. Zbl 1486.60032
Kühn, Franziska; Schilling, René L.
4
2019
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 level and collision sets of some Feller processes. Zbl 1351.60044
Knopova, Victoria; Schilling, René L.
4
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
Convolution inequalities for Besov and Triebel-Lizorkin spaces, and applications to convolution semigroups. Zbl 1484.46042
Kühn, Franziska; Schilling, René L.
4
2022
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
Stationary distributions for jump processes with inert drift. Zbl 1291.60170
Burdzy, K.; Kulczycki, T.; Schilling, R. L.
3
2013
Transience and non-explosion of certain stochastic Newtonian systems. Zbl 1013.60042
Kolokol’tsov, V. N.; Schilling, R. L.; Tyukov, A. E.
3
2002
Lévy processes, generalized moments and uniform integrability. Zbl 1520.60027
Berger, D.; Kühn, F.; Schilling, R. L.
3
2022
Homogenization of symmetric Lévy processes on \(\mathbb{R}^d\). Zbl 1524.60095
Schilling, René L.; Uemura, Toshihiro
3
2021
A probabilistic inequality related to negative definite functions. Zbl 1270.60030
Lifshits, Mikhail; Schilling, René L.; Tyurin, Ilya
3
2013
Subordination in the sense of S. Bochner – An approach through pseudo differential operators. Zbl 0923.47023
Jacob, Niels; Schilling, René L.
2
1996
Estimates for Feller semigroups generated by pseudodifferential operators. Zbl 0931.35204
Jacob, Niels; Schilling, René L.
2
1996
Comparable processes and the Hausdorff dimension of their sample paths. Zbl 0888.60035
Schilling, René L.
2
1996
On a Poincaré-type inequality for energy forms in \(L^p\). Zbl 1150.31003
Jacob, Niels; Schilling, René L.
2
2007
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
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
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
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
On the Liouville and strong Liouville properties for a class of non-local operators. Zbl 07572348
Berger, David; Schilling, René L.
2
2022
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.
2
2021
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
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
Stationary distributions for jump processes with memory. Zbl 1263.60072
Burdzy, K.; Kulczycki, T.; Schilling, R. L.
1
2012
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
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.
1
2021
Singular integrals of subordinators with applications to structural properties of SPDEs. Zbl 1501.60030
Deng, Chang-Song; Schilling, René L.; Xu, Lihu
1
2022
Markov chain approximation of pure jump processes. Zbl 1417.60068
Mimica, Ante; Sandrić, Nikola; Schilling, René L.
1
2018
Maximal inequalities and some applications. Zbl 1515.60064
Kühn, Franziska; Schilling, René L.
1
2023
Convolution inequalities for Besov and Triebel-Lizorkin spaces, and applications to convolution semigroups. Zbl 1484.46042
Kühn, Franziska; Schilling, René L.
4
2022
Lévy processes, generalized moments and uniform integrability. Zbl 1520.60027
Berger, D.; Kühn, F.; Schilling, R. L.
3
2022
On the Liouville and strong Liouville properties for a class of non-local operators. Zbl 07572348
Berger, David; 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
Bochner’s subordination and fractional caloric smoothing in Besov and Triebel-Lizorkin spaces. Zbl 07745547
Knopova, Victoriya; Schilling, René L.
1
2022
Construction and heat kernel estimates of general stable-like Markov processes. Zbl 1485.60072
Knopova, Victoria; Kulik, Alexei; Schilling, René L.
12
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.
2
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.
1
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.
8
2020
A unified approach to coupling SDEs driven by Lévy noise and some applications. Zbl 1465.60039
Liang, Mingjie; Schilling, René L.; Wang, Jian
5
2020
Strong convergence of the Euler-Maruyama approximation for a class of Lévy-driven SDEs. Zbl 1422.60097
Kühn, Franziska; Schilling, René L.
18
2019
On the domain of fractional Laplacians and related generators of Feller processes. Zbl 1464.60044
Kühn, Franziska; Schilling, René L.
18
2019
Distance multivariance: new dependence measures for random vectors. Zbl 1467.62104
Böttcher, Björn; Keller-Ressel, Martin; Schilling, René L.
13
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.
6
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.
37
2017
Subgeometric rates of convergence for Markov processes under subordination. Zbl 1425.60064
Deng, Chang-Song; Schilling, René L.; Song, Yan-Hong
12
2017
Harnack inequalities for SDEs driven by time-changed fractional Brownian motions. Zbl 1386.60147
Deng, Chang-Song; Schilling, René L.
6
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
21
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
19
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
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
Asymptotic properties of Brownian motion delayed by inverse subordinators. Zbl 1329.60291
Magdziarz, Marcin; Schilling, René L.
35
2015
Stochastic solutions for fractional wave equations. Zbl 1345.35134
Meerschaert, Mark M.; Schilling, René L.; Sikorskii, Alla
21
2015
On shift Harnack inequalities for subordinate semigroups and moment estimates for Lévy processes. Zbl 1328.60118
Deng, Chang-Song; Schilling, René L.
20
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 level and collision sets of some Feller processes. Zbl 1351.60044
Knopova, Victoria; Schilling, René L.
4
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
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
37
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
24
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
146
2013
A note on the existence of transition probability densities of Lévy processes. Zbl 1269.60050
Knopova, Victoria; Schilling, René L.
63
2013
Some theorems on Feller processes: transience, local times and ultracontractivity. Zbl 1282.60070
Schilling, René L.; Wang, Jian
21
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
347
2012
Coupling property and gradient estimates of Lévy processes via the symbol. Zbl 1263.60045
Schilling, René L.; Sztonyk, Paweł; Wang, Jian
50
2012
Transition density estimates for a class of Lévy and Lévy-type processes. Zbl 1242.60082
Knopova, Viktorya; Schilling, René L.
23
2012
On the coupling property and the Liouville theorem for Ornstein-Uhlenbeck processes. Zbl 1247.60113
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
Strong Feller continuity of Feller processes and semigroups. Zbl 1258.60047
Schilling, René L.; Wang, Jian
19
2012
Brownian motion. An introduction to stochastic processes. With a chapter on simulation by Björn Böttcher. Zbl 1258.60002
Schilling, René L.; Partzsch, Lothar
17
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.
14
2012
On the structure of the domain of a symmetric jump-type Dirichlet form. Zbl 1241.31013
Schilling, René L.; Uemura, Toshihiro
8
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
Packing dimension profiles and Lévy processes. Zbl 1266.60071
Khoshnevisan, D.; Schilling, R. L.; Xiao, Y.
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
19
2011
Constructions of coupling processes for Lévy processes. Zbl 1217.60035
Böttcher, Björn; Schilling, René L.; Wang, Jian
18
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
From Schoenberg to Pick-Nevanlinna: toward a complete picture of the variogram class. Zbl 1280.60032
Porcu, Emilio; Schilling, René L.
13
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.
5
2011
Bernstein functions. Theory and applications. Zbl 1197.33002
Schilling, René L.; Song, Renming; Vondraček, Zoran
225
2010
The symbol associated with the solution of a stochastic differential equation. Zbl 1226.60116
Schilling, Rene L.; Schnurr, Alexander
46
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
27
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.
44
2005
Function spaces as Dirichlet spaces (about a paper by Maz’ya and Nagel). Zbl 1107.46027
Jacob, Niels; Schilling, René L.
11
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.
36
2001
Lévy-type processes and pseudodifferential operators. Zbl 0984.60054
Jacob, Niels; Schilling, René L.
35
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.
19
2001
Dirichlet operators and the positive maximum principle. Zbl 0994.31003
Schilling, Rene L.
8
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.
17
1999
Growth and Hölder conditions for the sample paths of Feller processes. Zbl 0930.60013
Schilling, René L.
84
1998
Conservativeness and extensions of Feller semigroups. Zbl 0919.47033
Schilling, René L.
46
1998
Subordination in the sense of Bochner and a related functional calculus. Zbl 0920.47039
Schilling, René L.
29
1998
Feller processes generated by pseudo-differential operators: On the Hausdorff dimension of their sample paths. Zbl 0910.60028
Schilling, René L.
17
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.
17
1997
On the domain of the generator of a subordinate semigroup. Zbl 0857.47025
Schilling, René L.
6
1996
Subordination in the sense of S. Bochner – An approach through pseudo differential operators. Zbl 0923.47023
Jacob, Niels; Schilling, René L.
2
1996
...and 4 more Documents
all top 5

Cited by 1,404 Authors

57 Schilling, René Leander
51 Qi, Feng
50 Wang, Jian
25 Guo, Bai-Ni
25 Kim, Panki
22 Chen, Zhen-Qing
22 Grzywny, Tomasz
21 Kaleta, Kamil
21 Kühn, Franziska
18 Bogdan, Krzysztof
18 Song, Renming
16 Leonenko, Nikolai N.
15 Jacob, Niels
15 Sandrić, Nikola
15 Vondraček, Zoran
14 Patie, Pierre
13 Kovács, Mihály
13 Lörinczi, József
12 Deng, Changsong
12 Knopova, Victoria Pavlovna
12 Kwaśnicki, Mateusz
12 Porcu, Emilio
11 Böttcher, Björn
11 Kumagai, Takashi
11 Mai, Jan-Frederik
11 Meerschaert, Mark Marvin
11 Sztonyk, Paweł
10 Ascione, Giacomo
10 Kinderknecht, Yana A.
10 Cygan, Wojciech
10 Gomilko, Alexandre M.
10 Schnurr, Alexander
10 Toaldo, Bruno
10 Tomilov, Yuri
9 Kyprianou, Andreas E.
9 Pedersen, Henrik Laurberg
9 Ryznar, Michał
9 Uemura, Toshihiro
8 Beghin, Luisa
8 D’Ovidio, Mirko
8 Górska, Katarzyna
8 Menegatto, Valdir Antonio
8 Pietruska-Pałuba, Katarzyna
8 Pirozzi, Enrica
8 Sandev, Trifce
8 Shiozawa, Yuichi
8 Smolyanov, Oleg Georgievich
8 Wang, Feng-Yu
7 Bäumer, Boris
7 Bazhlekova, Emilia G.
7 Behme, Anita Diana
7 Biswas, Anup
7 Deng, Weihua
7 Fageot, Julien
7 Horzela, Andrzej
7 Karp, Dmitriĭ Borisovich
7 Kaßmann, Moritz
7 Kulczycki, Tadeusz
7 Metzler, Ralf
7 Mimica, Ante
7 Remizov, Ivan D.
7 Scherer, Matthias
7 Simon, Thomas
7 Szczypkowski, Karol
7 Xiao, Yimin
6 Applebaum, David B.
6 Chechkin, Aleksei V.
6 Jakubowski, Tomasz
6 Jedidi, Wissem
6 Kang, Jaehoon
6 Kataria, Kuldeep Kumar
6 Khandakar, Mostafizar
6 Kim, KyeongHun
6 Klimsiak, Tomasz
6 Li, Lingfei
6 Magdziarz, Marcin
6 Mikulevicius, Remigijus
6 Nane, Erkan
6 Pakes, Anthony G.
6 Ricciuti, Costantino
6 Röckner, Michael
6 Shi, Xiaoting
6 Zastavnyĭ, Viktor Petrovich
6 Zhang, Xicheng
5 Anh, Vo V.
5 Chavan, Sameer Laxman
5 Dahlke, Stephan
5 Evans, Kristian P.
5 Hanyga, Andrzej
5 Hausenblas, Erika
5 Kobayashi, Kei
5 Kondrat’yev, Yuriĭ Grygorovych
5 Koumandos, Stamatis
5 Larsson, Stig
5 Leżaj, Łukasz
5 Lindner, Felix
5 Liu, Wei
5 Maheshwari, Aditya
5 Mainardi, Francesco
5 Majka, Mateusz B.
...and 1,304 more Authors
all top 5

Cited in 326 Serials

76 Stochastic Processes and their Applications
51 Journal of Mathematical Analysis and Applications
50 Journal of Theoretical Probability
42 Potential Analysis
42 Fractional Calculus & Applied Analysis
29 Statistics & Probability Letters
28 Journal of Functional Analysis
28 Bernoulli
27 Transactions of the American Mathematical Society
25 Journal of Differential Equations
24 Electronic Journal of Probability
19 Journal of Computational and Applied Mathematics
19 Mathematische Nachrichten
19 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
15 Stochastic Analysis and Applications
15 Journal of Evolution Equations
13 Proceedings of the American Mathematical Society
13 Communications in Nonlinear Science and Numerical Simulation
13 ALEA. Latin American Journal of Probability and Mathematical Statistics
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Chaos, Solitons and Fractals
10 Communications in Mathematical Physics
10 Journal of Statistical Physics
10 Journal of Applied Probability
10 Probability Theory and Related Fields
9 Studia Mathematica
9 The Annals of Probability
9 Probability and Mathematical Statistics
9 Mathematical Inequalities & Applications
9 Journal of Physics A: Mathematical and Theoretical
8 Advances in Applied Probability
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 The Annals of Applied Probability
7 SIAM Journal on Mathematical Analysis
7 Theory of Probability and Mathematical Statistics
7 Stochastics and Dynamics
7 Stochastics
7 Modern Stochastics. Theory and Applications
6 Journal of Mathematical Physics
6 Integral Equations and Operator Theory
6 Journal of Multivariate Analysis
6 Results in Mathematics
6 Positivity
6 Science China. Mathematics
6 Stochastic and Partial Differential Equations. Analysis and Computations
6 SIAM/ASA Journal on Uncertainty Quantification
5 Journal d’Analyse Mathématique
5 Physica A
5 Theory of Probability and its Applications
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Applied Mathematics and Computation
5 BIT
5 Constructive Approximation
5 Forum Mathematicum
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Acta Mathematica Sinica. English Series
5 Mediterranean Journal of Mathematics
5 Applicable Analysis and Discrete Mathematics
5 Analysis and Mathematical Physics
5 Dependence Modeling
4 Computers & Mathematics with Applications
4 Mathematical Notes
4 Advances in Mathematics
4 Applied Mathematics and Optimization
4 Journal of Approximation Theory
4 Journal of the London Mathematical Society. Second Series
4 Mathematische Annalen
4 Mathematische Zeitschrift
4 Osaka Journal of Mathematics
4 Semigroup Forum
4 Communications in Statistics. Theory and Methods
4 Linear Algebra and its Applications
4 Journal of Mathematical Sciences (New York)
4 Electronic Communications in Probability
4 Finance and Stochastics
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
4 Discrete and Continuous Dynamical Systems. Series B
4 Computational Methods and Function Theory
4 Banach Journal of Mathematical Analysis
4 Statistics and Computing
4 Problemy Analiza. Issues of Analysis
3 The Annals of Statistics
3 Automatica
3 Memoirs of the American Mathematical Society
3 Proceedings of the London Mathematical Society. Third Series
3 SIAM Journal on Control and Optimization
3 Tôhoku Mathematical Journal. Second Series
3 Acta Applicandae Mathematicae
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
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
3 The Ramanujan Journal
3 Journal of Inequalities and Applications
3 Extremes
3 Communications in Contemporary Mathematics
3 Methodology and Computing in Applied Probability
...and 226 more Serials
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Cited in 53 Fields

846 Probability theory and stochastic processes (60-XX)
345 Partial differential equations (35-XX)
232 Operator theory (47-XX)
171 Real functions (26-XX)
112 Special functions (33-XX)
93 Statistics (62-XX)
93 Numerical analysis (65-XX)
76 Potential theory (31-XX)
72 Functional analysis (46-XX)
64 Integral transforms, operational calculus (44-XX)
61 Harmonic analysis on Euclidean spaces (42-XX)
50 Integral equations (45-XX)
48 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
44 Ordinary differential equations (34-XX)
40 Statistical mechanics, structure of matter (82-XX)
36 Functions of a complex variable (30-XX)
34 Measure and integration (28-XX)
29 Combinatorics (05-XX)
28 Number theory (11-XX)
26 Quantum theory (81-XX)
24 Dynamical systems and ergodic theory (37-XX)
22 Abstract harmonic analysis (43-XX)
22 Biology and other natural sciences (92-XX)
20 Global analysis, analysis on manifolds (58-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
17 Approximations and expansions (41-XX)
17 Fluid mechanics (76-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
13 Systems theory; control (93-XX)
12 Information and communication theory, circuits (94-XX)
11 Difference and functional equations (39-XX)
11 Mechanics of deformable solids (74-XX)
10 Operations research, mathematical programming (90-XX)
8 Computer science (68-XX)
7 Geophysics (86-XX)
6 Sequences, series, summability (40-XX)
5 Topological groups, Lie groups (22-XX)
4 Differential geometry (53-XX)
3 Mathematical logic and foundations (03-XX)
3 Group theory and generalizations (20-XX)
3 Several complex variables and analytic spaces (32-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 Order, lattices, ordered algebraic structures (06-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)

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