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## Applebaum, David B.

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 Author ID: applebaum.david-b Published as: Applebaum, D.; Applebaum, D. B.; Applebaum, David; Applebaum, David B.
 Documents Indexed: 81 Publications since 1984, including 7 Books
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#### Co-Authors

 60 single-authored 2 Cohen, Serge 2 Kunita, Hiroshi 2 Le Ngan, Trang 2 Siakalli, Michailina 2 Tang, Fuchang 2 van Neerven, Jan M. A. M. 1 Bañuelos, Rodrigo 1 Blackwood, Stefan 1 Brooks, Martin 1 Dooley, Anthony Haynes 1 Estrade, Anne 1 Frigerio, Alberto 1 Hudson, Robin Lyth 1 Riedle, Markus 1 Wu, Jianglun
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#### Serials

 3 Communications in Mathematical Physics 3 Bulletin of the London Mathematical Society 3 Journal of Theoretical Probability 3 Potential Analysis 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Letters in Mathematical Physics 2 The Annals of Probability 2 Journal of Applied Probability 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Forum Mathematicum 2 Journal of Physics A: Mathematical and General 2 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 2 Cambridge Studies in Advanced Mathematics 2 Communications on Stochastic Analysis 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematics of Kyoto University 1 Journal of Multivariate Analysis 1 The Mathematical Scientist 1 Proceedings of the London Mathematical Society. Third Series 1 Sankhyā. Series A. Methods and Techniques 1 Semigroup Forum 1 Journal of Operator Theory 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Notices of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Random Operators and Stochastic Equations 1 Electronic Journal of Probability 1 Journal of Applied Analysis 1 Methods of Functional Analysis and Topology 1 Markov Processes and Related Fields 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of the Australian Mathematical Society 1 International Mathematical Journal 1 Stochastics and Dynamics 1 London Mathematical Society Student Texts 1 Probability Surveys 1 Probability Theory and Stochastic Modelling
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#### Fields

 70 Probability theory and stochastic processes (60-XX) 20 Quantum theory (81-XX) 14 Operator theory (47-XX) 13 Abstract harmonic analysis (43-XX) 12 Global analysis, analysis on manifolds (58-XX) 8 Functional analysis (46-XX) 5 Topological groups, Lie groups (22-XX) 3 Number theory (11-XX) 3 Partial differential equations (35-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

62 Publications have been cited 1,379 times in 1,200 Documents Cited by Year
Lévy processes and stochastic calculus. 2nd ed. Zbl 1200.60001
Applebaum, David
2009
Lévy processes and stochastic calculus. Zbl 1073.60002
Applebaum, David
2004
Lévy processes: from probability to finance and quantum groups. Zbl 1053.60046
Applebaum, David
2004
Fermion Ito’s formula and stochastic evolutions. Zbl 0572.60052
Applebaum, D. B.; Hudson, R. L.
1984
Asymptotic stability of stochastic differential equations driven by Lévy noise. Zbl 1185.60058
Applebaum, David; Siakalli, Michailina
2009
Cylindrical Lévy processes in Banach spaces. Zbl 1210.60012
Applebaum, David; Riedle, Markus
2010
Stochastic partial differential equations driven by Lévy space-time white noise. Zbl 0972.60048
Applebaum, David; Wu, Jiang-Lun
2000
Lévy flows on manifolds and Lévy processes on Lie groups. Zbl 0804.58057
Applebaum, David; Kunita, Hiroshi
1993
Stochastic stabilization of dynamical systems using Lévy noise. Zbl 1218.93106
Applebaum, David; Siakalli, Michailina
2010
Martingale-valued measures, Ornstein-Uhlenbeck processes with jumps and operator self-decomposability in Hilbert space. Zbl 1133.60020
Applebaum, David
2006
Compound Poisson processes and Lévy processes in groups and symmetric spaces. Zbl 0985.60047
Applebaum, David
2000
On the infinitesimal generators of Ornstein-Uhlenbeck processes with jumps in Hilbert space. Zbl 1112.60044
Applebaum, David
2007
Infinitely divisible central probability measures on compact Lie groups-regularity, semigroups and transition kernels. Zbl 1237.60005
Applebaum, David
2011
Lévy processes and stochastic integrals in Banach spaces. Zbl 1124.60044
Applebaum, David
2007
Probability on compact Lie groups. With a foreword by Herbert Heyer. Zbl 1302.60007
Applebaum, David
2014
The strong Markov property for fermion Brownian motion. Zbl 0583.60076
Applebaum, David
1986
Probability and information. An integrated approach. Zbl 0857.60001
Applebaum, David
1996
Fermion Ito’s formula. II: The gauge process in fermion Fock space. Zbl 0676.60098
Applebaum, David
1987
Some $$L^{2}$$ properties of semigroups of measures on Lie groups. Zbl 1177.43002
Applebaum, David
2009
Unitary evolutions and horizontal lifts in quantum stochastic calculus. Zbl 0734.60107
Applebaum, David
1991
Infinite dimensional Ornstein-Uhlenbeck processes driven by Lévy processes. Zbl 1323.60104
Applebaum, David
2015
Martingale transform and Lévy processes on Lie groups. Zbl 1301.60057
Applebaum, David; Bañuelos, Rodrigo
2014
Universal Malliavin calculus in Fock and Lévy-Itô spaces. Zbl 1331.60101
Applebaum, David
2009
Lévy processes, pseudo-differential operators and Dirichlet forms in the Heisenberg group. Zbl 1075.60048
Applebaum, David; Cohen, Serge
2004
Stochastic flows of diffeomorphisms on manifolds driven by infinite-dimensional semimartingales with jumps. Zbl 1099.58504
Applebaum, David; Tang, Fuchang
2001
Lévy processes in stochastic differential geometry. Zbl 0984.60056
Applebaum, David
2001
A horizontal Lévy process on the bundle of orthonormal frames over a complete Riemannian manifold. Zbl 0837.58036
Applebaum, David
1995
Probability measures on compact groups which have square-integrable densities. Zbl 1163.60003
Applebaum, David
2008
Isotropic Lévy processes on Riemannian manifolds. Zbl 1044.60035
2000
Stochastic evolution of Yang-Mills connections on the noncommutative two- torus. Zbl 0653.60101
Applebaum, David
1988
Probabilistic trace and Poisson summation formulae on locally compact abelian groups. Zbl 1360.60011
Applebaum, David
2017
Lévy-type stochastic integrals with regularly varying tails. Zbl 1077.60042
Applebaum, David
2005
On the subordination of spherically symmetric Lévy processes in Lie groups. Zbl 0984.60018
Applebaum, David
2002
Operator-valued stochastic differential equations arising from unitary group representations. Zbl 0979.60059
Applebaum, David
2001
Fermion stochastic calculus in Dirac-Fock space. Zbl 0853.60091
Applebaum, David
1995
Quantum stochastic parallel transport on noncommutative vector bundles. Zbl 0637.46066
Applebaum, David
1988
Second quantisation for skew convolution products of infinitely divisible measures. Zbl 1314.60016
Applebaum, David; van Neerven, Jan
2015
Aspects of recurrence and transience for Lévy processes in transformation groups and noncompact Riemannian symmetric pairs. Zbl 1277.60011
Applebaum, David
2013
Pseudo-differential operators and Markov semigroups on compact Lie groups. Zbl 1228.22009
Applebaum, David
2011
Probability and information. An integrated approach. Zbl 1154.60001
Applebaum, David
2008
Brownian motion and Lévy processes on locally compact groups. Zbl 1124.60008
Applebaum, David
2006
Lévy processes in Euclidean spaces and groups. Zbl 1070.60055
Applebaum, David
2005
Invariant measures for Lévy flows of diffeomorphisms. Zbl 0969.58010
Applebaum, David; Kunita, Hiroshi
2000
Spectral families of quantum stochastic integrals. Zbl 0851.60068
Applebaum, David
1995
Deformations of cocycles, quantum Lévy processes and quantum stochastic flows. Zbl 0794.60113
Applebaum, David
1993
Quantum diffusions on involutive algebras. Zbl 0734.46044
Applebaum, David
1990
Stopping unitary processes in Fock space. Zbl 0659.60096
Applebaum, David
1988
Stochastic dilations of the Bloch equations in boson and fermion noise. Zbl 0615.60100
Applebaum, David
1986
Second quantisation for skew convolution products of measures in Banach spaces. Zbl 1291.60012
Applebaum, David; van Neerven, Jan
2014
Corrigendum. Probability measures on compact groups which have square-integrable densities. Zbl 1196.60015
Applebaum, David
2010
Covariant Mehler semigroups in Hilbert space. Zbl 1123.60043
Applebaum, D.
2007
On a class of non-translation invariant Feller semigroups on Lie groups. Zbl 1015.47027
Applebaum, David
2002
The interlacing construction for stochastic flows of diffeomorphisms on Euclidean spaces. Zbl 0996.60066
Applebaum, David; Tang, Fuchang
2001
Quantum martingale measures and stochastic partial differential equations in Fock space. Zbl 1004.60065
Applebaum, David
1998
Stochastic parallel transport along Lévy flows of diffeomorphisms. Zbl 0881.58074
Applebaum, David; Cohen, Serge
1997
Infinite series of quantum spectral stochastic integrals. Zbl 0868.46046
Applebaum, David; Brooks, Martin
1996
Unitary actions of Lévy flows of diffeomorphisms. Zbl 0807.60055
Applebaum, David
1994
Fermionic stochastic differential equations and the index of Fredholm operators. Zbl 0776.60074
Applebaum, David
1993
On a class of stochastic flows driven by quantum Brownian motion. Zbl 0764.60061
Applebaum, David
1993
Towards a quantum theory of classical diffusions on Riemannian manifolds. Zbl 0930.58020
Applebaum, David
1991
Stationary dilations of $$W^ *$$-dynamical systems constructed via quantum stochastic differential equations. Zbl 0616.46059
Applebaum, D.; Frigerio, A.
1986
Quasi-free stochastic evolutions. Zbl 0569.60005
Applebaum, David
1985
Probabilistic trace and Poisson summation formulae on locally compact abelian groups. Zbl 1360.60011
Applebaum, David
2017
Infinite dimensional Ornstein-Uhlenbeck processes driven by Lévy processes. Zbl 1323.60104
Applebaum, David
2015
Second quantisation for skew convolution products of infinitely divisible measures. Zbl 1314.60016
Applebaum, David; van Neerven, Jan
2015
Probability on compact Lie groups. With a foreword by Herbert Heyer. Zbl 1302.60007
Applebaum, David
2014
Martingale transform and Lévy processes on Lie groups. Zbl 1301.60057
Applebaum, David; Bañuelos, Rodrigo
2014
Second quantisation for skew convolution products of measures in Banach spaces. Zbl 1291.60012
Applebaum, David; van Neerven, Jan
2014
Aspects of recurrence and transience for Lévy processes in transformation groups and noncompact Riemannian symmetric pairs. Zbl 1277.60011
Applebaum, David
2013
Infinitely divisible central probability measures on compact Lie groups-regularity, semigroups and transition kernels. Zbl 1237.60005
Applebaum, David
2011
Pseudo-differential operators and Markov semigroups on compact Lie groups. Zbl 1228.22009
Applebaum, David
2011
Cylindrical Lévy processes in Banach spaces. Zbl 1210.60012
Applebaum, David; Riedle, Markus
2010
Stochastic stabilization of dynamical systems using Lévy noise. Zbl 1218.93106
Applebaum, David; Siakalli, Michailina
2010
Corrigendum. Probability measures on compact groups which have square-integrable densities. Zbl 1196.60015
Applebaum, David
2010
Lévy processes and stochastic calculus. 2nd ed. Zbl 1200.60001
Applebaum, David
2009
Asymptotic stability of stochastic differential equations driven by Lévy noise. Zbl 1185.60058
Applebaum, David; Siakalli, Michailina
2009
Some $$L^{2}$$ properties of semigroups of measures on Lie groups. Zbl 1177.43002
Applebaum, David
2009
Universal Malliavin calculus in Fock and Lévy-Itô spaces. Zbl 1331.60101
Applebaum, David
2009
Probability measures on compact groups which have square-integrable densities. Zbl 1163.60003
Applebaum, David
2008
Probability and information. An integrated approach. Zbl 1154.60001
Applebaum, David
2008
On the infinitesimal generators of Ornstein-Uhlenbeck processes with jumps in Hilbert space. Zbl 1112.60044
Applebaum, David
2007
Lévy processes and stochastic integrals in Banach spaces. Zbl 1124.60044
Applebaum, David
2007
Covariant Mehler semigroups in Hilbert space. Zbl 1123.60043
Applebaum, D.
2007
Martingale-valued measures, Ornstein-Uhlenbeck processes with jumps and operator self-decomposability in Hilbert space. Zbl 1133.60020
Applebaum, David
2006
Brownian motion and Lévy processes on locally compact groups. Zbl 1124.60008
Applebaum, David
2006
Lévy-type stochastic integrals with regularly varying tails. Zbl 1077.60042
Applebaum, David
2005
Lévy processes in Euclidean spaces and groups. Zbl 1070.60055
Applebaum, David
2005
Lévy processes and stochastic calculus. Zbl 1073.60002
Applebaum, David
2004
Lévy processes: from probability to finance and quantum groups. Zbl 1053.60046
Applebaum, David
2004
Lévy processes, pseudo-differential operators and Dirichlet forms in the Heisenberg group. Zbl 1075.60048
Applebaum, David; Cohen, Serge
2004
On the subordination of spherically symmetric Lévy processes in Lie groups. Zbl 0984.60018
Applebaum, David
2002
On a class of non-translation invariant Feller semigroups on Lie groups. Zbl 1015.47027
Applebaum, David
2002
Stochastic flows of diffeomorphisms on manifolds driven by infinite-dimensional semimartingales with jumps. Zbl 1099.58504
Applebaum, David; Tang, Fuchang
2001
Lévy processes in stochastic differential geometry. Zbl 0984.60056
Applebaum, David
2001
Operator-valued stochastic differential equations arising from unitary group representations. Zbl 0979.60059
Applebaum, David
2001
The interlacing construction for stochastic flows of diffeomorphisms on Euclidean spaces. Zbl 0996.60066
Applebaum, David; Tang, Fuchang
2001
Stochastic partial differential equations driven by Lévy space-time white noise. Zbl 0972.60048
Applebaum, David; Wu, Jiang-Lun
2000
Compound Poisson processes and Lévy processes in groups and symmetric spaces. Zbl 0985.60047
Applebaum, David
2000
Isotropic Lévy processes on Riemannian manifolds. Zbl 1044.60035
2000
Invariant measures for Lévy flows of diffeomorphisms. Zbl 0969.58010
Applebaum, David; Kunita, Hiroshi
2000
Quantum martingale measures and stochastic partial differential equations in Fock space. Zbl 1004.60065
Applebaum, David
1998
Stochastic parallel transport along Lévy flows of diffeomorphisms. Zbl 0881.58074
Applebaum, David; Cohen, Serge
1997
Probability and information. An integrated approach. Zbl 0857.60001
Applebaum, David
1996
Infinite series of quantum spectral stochastic integrals. Zbl 0868.46046
Applebaum, David; Brooks, Martin
1996
A horizontal Lévy process on the bundle of orthonormal frames over a complete Riemannian manifold. Zbl 0837.58036
Applebaum, David
1995
Fermion stochastic calculus in Dirac-Fock space. Zbl 0853.60091
Applebaum, David
1995
Spectral families of quantum stochastic integrals. Zbl 0851.60068
Applebaum, David
1995
Unitary actions of Lévy flows of diffeomorphisms. Zbl 0807.60055
Applebaum, David
1994
Lévy flows on manifolds and Lévy processes on Lie groups. Zbl 0804.58057
Applebaum, David; Kunita, Hiroshi
1993
Deformations of cocycles, quantum Lévy processes and quantum stochastic flows. Zbl 0794.60113
Applebaum, David
1993
Fermionic stochastic differential equations and the index of Fredholm operators. Zbl 0776.60074
Applebaum, David
1993
On a class of stochastic flows driven by quantum Brownian motion. Zbl 0764.60061
Applebaum, David
1993
Unitary evolutions and horizontal lifts in quantum stochastic calculus. Zbl 0734.60107
Applebaum, David
1991
Towards a quantum theory of classical diffusions on Riemannian manifolds. Zbl 0930.58020
Applebaum, David
1991
Quantum diffusions on involutive algebras. Zbl 0734.46044
Applebaum, David
1990
Stochastic evolution of Yang-Mills connections on the noncommutative two- torus. Zbl 0653.60101
Applebaum, David
1988
Quantum stochastic parallel transport on noncommutative vector bundles. Zbl 0637.46066
Applebaum, David
1988
Stopping unitary processes in Fock space. Zbl 0659.60096
Applebaum, David
1988
Fermion Ito’s formula. II: The gauge process in fermion Fock space. Zbl 0676.60098
Applebaum, David
1987
The strong Markov property for fermion Brownian motion. Zbl 0583.60076
Applebaum, David
1986
Stochastic dilations of the Bloch equations in boson and fermion noise. Zbl 0615.60100
Applebaum, David
1986
Stationary dilations of $$W^ *$$-dynamical systems constructed via quantum stochastic differential equations. Zbl 0616.46059
Applebaum, D.; Frigerio, A.
1986
Quasi-free stochastic evolutions. Zbl 0569.60005
Applebaum, David
1985
Fermion Ito’s formula and stochastic evolutions. Zbl 0572.60052
Applebaum, D. B.; Hudson, R. L.
1984
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#### Cited by 1,538 Authors

 33 Applebaum, David B. 33 Duan, Jinqiao 30 Zhang, Binlin 29 Xiang, Mingqi 12 Nane, Erkan 12 Vazquez, Juan Luis 10 Pavlyukevich, Ilya 9 Gao, Hongjun 9 Hausenblas, Erika 9 Jakobsen, Espen Robstad 9 Mao, Xuerong 9 Riedle, Markus 8 Albeverio, Sergio A. 8 Brzeźniak, Zdzisław 8 Högele, Michael Anton 8 Li, Xiaofan 8 Lindsay, J. Martin 8 Mao, Wei 8 Rădulescu, Vicenţiu D. 8 Wang, Ke 8 Yin, George Gang 8 Zabczyk, Jerzy 7 Delong, Łukasz 7 Hudson, Robin Lyth 7 Liao, Ming 7 Manna, Utpal 7 Priola, Enrico 7 Sreenadh, Konijeti 7 Tang, Xianhua 7 Taqqu, Murad S. 7 Wang, Jian 7 Zhang, Xicheng 6 Accardi, Luigi 6 Bañuelos, Rodrigo 6 Bao, Jianhai 6 Chen, Zhen-Qing 6 Di Persio, Luca 6 Fu, Ke’ang 6 Giacomoni, Jacques 6 Huang, Jianhua 6 Lv, Guangying 6 Meerschaert, Mark M. 6 Øksendal, Bernt Karsten 6 Pucci, Patrizia 6 Stelzer, Robert 6 Veillette, Mark S. 6 Vellaisamy, Palaniappan 6 Wu, Jianglun 6 Yuan, Chenggui 5 Barrios Barrera, Begoña 5 Buckley, Winston S. 5 Di Nunno, Giulia 5 Fonseca-Mora, Christian A. 5 Hu, Liangjian 5 Imkeller, Peter 5 Jørgensen, Palle E. T. 5 Kobayashi, Kei 5 Long, Hongwei 5 Madan, Dilip B. 5 Mai, Jan-Frederik 5 Mukherjee, Tuhina 5 Rüdiger, Barbara 5 Scherer, Matthias 5 Smii, Boubaker 5 Speicher, Roland 5 Squassina, Marco 5 Tang, Zhongwei 5 Wang, Feng-Yu 5 Xu, Lihu 5 Xu, Yong 5 Zhang, Xia 5 Zhu, Quanxin 4 Benth, Fred Espen 4 Chasseigne, Emmanuel 4 Cordoni, Francesco Giuseppe 4 Dereich, Steffen 4 Kella, Offer 4 Kim, KyeongHun 4 Kurths, Jürgen 4 Liu, Qun 4 Liu, Wei 4 Luo, Jiaowan 4 Magdziarz, Marcin 4 Mendoza-Arriaga, Rafael 4 Mirotin, Adol’f Rubimovich 4 Niu, Miaomiao 4 Privault, Nicolas 4 Qiao, Huijie 4 Ruffino, Paulo Régis C. 4 Saoudi, Kamel 4 Schürmann, Michael 4 Sun, Xu 4 Taniguchi, Takeshi 4 Xie, Bin 4 Xu, Wei 4 Zhang, Jihui 4 Zhang, Yongchao 4 Zhang, Zhenzhong 4 Zheng, Yayun 4 Zhu, Chao ...and 1,438 more Authors
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#### Cited in 277 Serials

 66 Stochastic Processes and their Applications 41 Journal of Mathematical Analysis and Applications 28 Potential Analysis 27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Journal of Mathematical Physics 26 Stochastic Analysis and Applications 25 Journal of Differential Equations 25 Statistics & Probability Letters 23 Journal of Functional Analysis 22 Journal of Theoretical Probability 19 Stochastics and Dynamics 18 Applied Mathematics and Computation 17 Advances in Difference Equations 16 Journal of Applied Probability 16 Bernoulli 15 Communications in Mathematical Physics 15 Journal of Statistical Physics 15 The Annals of Probability 15 Journal of Computational and Applied Mathematics 14 Insurance Mathematics & Economics 14 Probability Theory and Related Fields 14 Discrete and Continuous Dynamical Systems 13 Stochastics 12 Discrete and Continuous Dynamical Systems. Series B 11 Infinite Dimensional Analysis, Quantum Probability and Related Topics 11 Communications on Pure and Applied Analysis 10 Computers & Mathematics with Applications 9 Calculus of Variations and Partial Differential Equations 9 Science China. Mathematics 8 Journal of the Franklin Institute 8 Advances in Mathematics 8 Applied Mathematics and Optimization 8 Mathematical Finance 8 Chaos 8 International Journal of Theoretical and Applied Finance 8 Complex Variables and Elliptic Equations 7 Letters in Mathematical Physics 7 Nonlinearity 7 The Annals of Applied Probability 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Mathematical Problems in Engineering 7 Abstract and Applied Analysis 7 Methodology and Computing in Applied Probability 7 Journal of Evolution Equations 7 Quantitative Finance 7 International Journal of Stochastic Analysis 7 Stochastic and Partial Differential Equations. Analysis and Computations 6 Mathematische Zeitschrift 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Bulletin des Sciences Mathématiques 6 Electronic Journal of Probability 6 Nonlinear Dynamics 6 Communications in Contemporary Mathematics 6 Boundary Value Problems 6 Discrete and Continuous Dynamical Systems. Series S 6 Journal of Nonlinear Science and Applications 5 International Journal of Control 5 Chaos, Solitons and Fractals 5 Automatica 5 SIAM Journal on Control and Optimization 5 European Journal of Operational Research 5 NoDEA. Nonlinear Differential Equations and Applications 5 Applied Mathematical Finance 5 Mathematical Methods of Operations Research 5 Communications in Nonlinear Science and Numerical Simulation 5 Advanced Nonlinear Studies 5 Nonlinear Analysis. Hybrid Systems 5 SIAM Journal on Financial Mathematics 5 Modern Stochastics. Theory and Applications 4 Applicable Analysis 4 Mathematical Notes 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Multivariate Analysis 4 Systems & Control Letters 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Mathematical Modelling 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Topological Methods in Nonlinear Analysis 4 Electronic Journal of Differential Equations (EJDE) 4 Finance and Stochastics 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Stochastic Models 4 Mediterranean Journal of Mathematics 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 International Journal of Theoretical Physics 3 Mathematical Methods in the Applied Sciences 3 Physica A 3 Journal of Geometry and Physics 3 Journal of Statistical Planning and Inference 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Acta Applicandae Mathematicae 3 Applied Mathematics Letters 3 Forum Mathematicum 3 Journal of Statistical Computation and Simulation 3 Journal of Dynamics and Differential Equations 3 Advances in Computational Mathematics 3 Fractional Calculus & Applied Analysis 3 Brazilian Journal of Probability and Statistics ...and 177 more Serials
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#### Cited in 48 Fields

 815 Probability theory and stochastic processes (60-XX) 391 Partial differential equations (35-XX) 158 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 133 Operator theory (47-XX) 98 Systems theory; control (93-XX) 80 Statistics (62-XX) 76 Ordinary differential equations (34-XX) 74 Quantum theory (81-XX) 66 Numerical analysis (65-XX) 56 Dynamical systems and ergodic theory (37-XX) 53 Functional analysis (46-XX) 47 Biology and other natural sciences (92-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 41 Statistical mechanics, structure of matter (82-XX) 38 Global analysis, analysis on manifolds (58-XX) 29 Real functions (26-XX) 26 Integral equations (45-XX) 24 Fluid mechanics (76-XX) 16 Measure and integration (28-XX) 16 Operations research, mathematical programming (90-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Abstract harmonic analysis (43-XX) 7 Functions of a complex variable (30-XX) 7 Information and communication theory, circuits (94-XX) 6 Approximations and expansions (41-XX) 5 Number theory (11-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Topological groups, Lie groups (22-XX) 5 Potential theory (31-XX) 4 Mathematical logic and foundations (03-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 4 Geophysics (86-XX) 3 Combinatorics (05-XX) 3 Nonassociative rings and algebras (17-XX) 3 Differential geometry (53-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-XX)