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Itō, Kiyosi

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 Author ID: ito.kiyosi Published as: Ito, K.; Ito, Kiyoshi; Ito, Kiyosi; Itô, K.; Itô, Kiyosi; Kiyosi, Ito Homepage: http://www-history.mcs.st-and.ac.uk/Biographies/Ito.html External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor Awards: Wolf Prize (1987) · Kyoto Prize in Basic Sciences (1998) · Carl Friedrich Gauss Prize (2006)
 Documents Indexed: 83 Publications since 1938, including 23 Books Biographic References: 19 Publications
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Co-Authors

 65 single-authored 6 McKean, Henry P. jun. 2 Hida, Takeyuki 2 Kawada, Yukiyosi 2 Nisio, Makiko 2 Watanabe, Shinzo 1 Ikeda, Nobuyuki 1 Nawata, Masako 1 Nisio, N. 1 Prokhorov, Yuriĭ Vasil’evich
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Serials

 6 Proceedings of the Imperial Academy of Japan 4 Proceedings of the Physico-Mathematical Society of Japan 3 Nagoya Mathematical Journal 2 Illinois Journal of Mathematics 2 Journal of Mathematics of Kyoto University 2 Journal of the Mathematical Society of Japan 2 Proceedings of the Japan Academy 2 Japanese Journal of Mathematics 2 Memoirs of the College of Science, University of Kyoto, Series A 2 Lecture Notes in Mathematics 1 Communications on Pure and Applied Mathematics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 Journal of the Faculty of Science 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Questions and Answers in General Topology 1 Regelungstechnik und Prozeß-Datenverarbeitung 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Grundlehren der Mathematischen Wissenschaften 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 Lecture Notes Series. Aarhus University 1 North-Holland Mathematical Library 1 Translations of Mathematical Monographs 1 Japanese Journal of Mathematics. 3rd Series 1 SpringerBriefs in Probability and Mathematical Statistics 1 Classics in Mathematics
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Fields

 45 Probability theory and stochastic processes (60-XX) 7 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

Citations contained in zbMATH Open

61 Publications have been cited 2,083 times in 1,833 Documents Cited by Year
Diffusion processes and their sample paths. Zbl 0127.09503
Ito, K.; McKean, H. P. jun.
1965
Multiple Wiener integral. Zbl 0044.12202
Ito, Kiyosi
1951
Diffusion processes and their sample paths. 2nd printing, corrected. Zbl 0285.60063
Ito, K.; McKean, H. P. jun.
1974
Diffusion processes and their sample paths. Repr. of the 1974 ed. Zbl 0837.60001
Itô, Kiyosi; McKean, Henry P. jun.
1996
Stochastic integral. Zbl 0060.29105
Ito, Kiyosi
1944
Foundations of stochastic differential equations in infinite dimensional spaces. Zbl 0547.60064
Itô, Kiyosi
1984
On a formula concerning stochastic differentials. Zbl 0045.07603
Itô, Kiyosi
1951
On the convergence of sums of independent Banach space valued random variables. Zbl 0177.45102
Ito, K.; Nisio, N.
1968
Spectral type of the shift transformation of differential processes with stationary increments. Zbl 0073.35303
Ito, Kiyosi
1956
On stochastic differential equations. Zbl 0054.05803
Ito, Kiyosi
1951
On stationary solutions of a stochastic differential equation. Zbl 0131.16402
Ito, K.; Nisio, M.
1964
Complex multiple Wiener integral. Zbl 0049.08602
Itô, Kiyosi
1952
Brownian motions on a half line. Zbl 0114.33601
Ito, K.; McKean, H. P. jun.
1963
Stationary random distributions. Zbl 0059.11505
Itô, Kiyosi
1954
Encyclopedic dictionary of mathematics. (4 volumes). 2nd ed. Zbl 0674.00025
Itô, Kiyosi (ed.)
1987
On the probability distribution on a compact group. I. Zbl 0026.13801
1940
On the oscillation functions of Gaussian processes. Zbl 0231.60027
Itô, Kiyosi; Nisio, Makiko
1968
Transformation of Markov processes by multiplicative functionals. Zbl 0141.15103
Ito, K.; Watanabe, S.
1965
Stochastic differential equations in a differentiable manifold. Zbl 0039.35103
Ito, Kiyosi
1950
On a stochastic integral equation. Zbl 0063.02992
Ito, Kiyosi
1946
On stochastic processes. I. (Infinitely divisible laws of probability.). Zbl 0060.28908
Ito, Kiyosi
1942
Poisson point processes attached to Markov processes. Zbl 0284.60051
Ito, Kiyosi
1972
Distribution-valued processes arising from independent Brownian motions. Zbl 0488.60052
Ito, Kiyosi
1983
Stochastic processes. Zbl 0226.60053
Ito, K.
1969
Diffusion processes and their sample paths. Zbl 0153.47302
Ito, K.; McKean, H. P. jun.
1968
Essentials of stochastic processes. Translated from the 1957 Japanese original. Zbl 1118.60003
Itô, Kiyosi
2006
Brownian motions in a Lie group. Zbl 0041.45703
Ito, Kiyosi
1950
Stochastic differentials. Zbl 0325.60057
Ito, K.
1975
On the probability distribution on a compact group. I. JFM 66.0544.04
1940
Potentials and the random walk. Zbl 0238.60047
Ito, Kiyosi; McKean, H. P. jun.
1960
Lectures on stochastic processes. Notes by K. Muralidhara Rao. Reissued ed. Zbl 0561.60068
Ito, K.
1984
Introduction to probability theory. Transl. from the Japanese. Zbl 0545.60001
Itô, Kiyosi
1984
Wiener integral and Feynman integral. Zbl 0135.18803
Itô, Kiyosi
1961
Stochastic differential equations in a differentiable manifold. II. Zbl 0053.27302
Itô, Kiyosi
1953
Stochastic processes. Lectures given at Aarhus University. Edited and with a foreword by Ole E. Barndorff-Nielsen and Ken-iti Sato. Zbl 1068.60002
Itô, Kiyosi
2004
The topological support of Gauss measure on Hilbert space. Zbl 0206.43001
Itô, K.
1970
The expected number of zeros of continuous stationary Gaussian processes. Zbl 0139.34102
Ito, K.
1964
The Brownian motion and tensor fields on Riemannian manifold. Zbl 0116.36105
Itô, Kiyosi
1963
The canonical modification of stochastic processes. Zbl 0164.46804
Ito, K.
1968
Introduction to stochastic differential equations. Zbl 0405.60058
Ito, Kiyosi; Watanabe, Shinzo
1978
On the ergodicity of a certain stationary process. Zbl 0060.29002
Ito, Kiyosi
1944
Infinite dimensional Ornstein-Uhlenbeck processes. Zbl 0564.60056
Itô, Kiyosi
1984
Extension of stochastic integrals. Zbl 0409.60060
Ito, Kiyosi
1978
Isotropic random current. Zbl 0071.13201
Itô, Kiyosi
1956
Classification of nilmanifolds $$M^n$$ $$(n\leq 6)$$ admitting Anosov diffeomorphisms. Zbl 1328.37030
Ito, Kiyoshi
1989
Stochastic analysis. Proceedings of the 10th Taniguchi International Symposium on Stochastic Analysis, Katata and Kyoto, 1982. Zbl 0538.00017
Itô, Kiyosi (ed.)
1984
Poisson point processes and their application to Markov processes. With a foreword by Shinzo Watanabe and Ichiro Shigekawa. Zbl 1337.60006
Itô, Kiyosi
2016
An elementary approach to Malliavin fields. Zbl 0808.60051
Itô, K.
1993
Selected papers. Ed. by Daniel W. Stroock and S. R. S. Varadhan. Zbl 0621.01019
Itô, Kiyosi
1987
Canonical measurable random functions. Zbl 0229.60028
Itô, Kiyosi
1970
A survey of stochastic processes. Zbl 0114.34105
Ito, K.
1962
A kinematic theory of turbulence. Zbl 0060.29003
Ito, Kiyosi
1944
A survey of stochastic differential equations. Zbl 0881.60054
Itô, Kiyosi
1995
On Malliavin tensor fields. Zbl 0808.60052
Itô, Kiyosi
1994
A stochastic differential equation in infinite dimensions. Zbl 0541.60059
Itô, Kiyosi
1984
Regularization of linear random functionals. Zbl 0522.60041
Ito, Kiyosi; Nawata, Masako
1983
Probability theory and mathematical statistics. Proceedings of the Fourth USSR - Japan Symposium, held at Tbilisi, USSR, August 23-29, 1982. Zbl 0509.00020
Ito, K. (ed.); Prokhorov, J. V. (ed.)
1983
Stochastic analysis in infinite dimensions. Zbl 0442.60066
Ito, Kiyosi
1978
Stochastic calculus. Zbl 0335.60041
Ito, Kiyosi
1975
Stochastic parallel displacement. Zbl 0308.60027
Ito, Kiyosi
1975
A screw line in Hilbert space and its application to the probability theory. Zbl 0061.25304
Ito, Kiyosi
1944
Poisson point processes and their application to Markov processes. With a foreword by Shinzo Watanabe and Ichiro Shigekawa. Zbl 1337.60006
Itô, Kiyosi
2016
Essentials of stochastic processes. Translated from the 1957 Japanese original. Zbl 1118.60003
Itô, Kiyosi
2006
Stochastic processes. Lectures given at Aarhus University. Edited and with a foreword by Ole E. Barndorff-Nielsen and Ken-iti Sato. Zbl 1068.60002
Itô, Kiyosi
2004
Diffusion processes and their sample paths. Repr. of the 1974 ed. Zbl 0837.60001
Itô, Kiyosi; McKean, Henry P. jun.
1996
A survey of stochastic differential equations. Zbl 0881.60054
Itô, Kiyosi
1995
On Malliavin tensor fields. Zbl 0808.60052
Itô, Kiyosi
1994
An elementary approach to Malliavin fields. Zbl 0808.60051
Itô, K.
1993
Classification of nilmanifolds $$M^n$$ $$(n\leq 6)$$ admitting Anosov diffeomorphisms. Zbl 1328.37030
Ito, Kiyoshi
1989
Encyclopedic dictionary of mathematics. (4 volumes). 2nd ed. Zbl 0674.00025
Itô, Kiyosi (ed.)
1987
Selected papers. Ed. by Daniel W. Stroock and S. R. S. Varadhan. Zbl 0621.01019
Itô, Kiyosi
1987
Foundations of stochastic differential equations in infinite dimensional spaces. Zbl 0547.60064
Itô, Kiyosi
1984
Lectures on stochastic processes. Notes by K. Muralidhara Rao. Reissued ed. Zbl 0561.60068
Ito, K.
1984
Introduction to probability theory. Transl. from the Japanese. Zbl 0545.60001
Itô, Kiyosi
1984
Infinite dimensional Ornstein-Uhlenbeck processes. Zbl 0564.60056
Itô, Kiyosi
1984
Stochastic analysis. Proceedings of the 10th Taniguchi International Symposium on Stochastic Analysis, Katata and Kyoto, 1982. Zbl 0538.00017
Itô, Kiyosi (ed.)
1984
A stochastic differential equation in infinite dimensions. Zbl 0541.60059
Itô, Kiyosi
1984
Distribution-valued processes arising from independent Brownian motions. Zbl 0488.60052
Ito, Kiyosi
1983
Regularization of linear random functionals. Zbl 0522.60041
Ito, Kiyosi; Nawata, Masako
1983
Probability theory and mathematical statistics. Proceedings of the Fourth USSR - Japan Symposium, held at Tbilisi, USSR, August 23-29, 1982. Zbl 0509.00020
Ito, K. (ed.); Prokhorov, J. V. (ed.)
1983
Introduction to stochastic differential equations. Zbl 0405.60058
Ito, Kiyosi; Watanabe, Shinzo
1978
Extension of stochastic integrals. Zbl 0409.60060
Ito, Kiyosi
1978
Stochastic analysis in infinite dimensions. Zbl 0442.60066
Ito, Kiyosi
1978
Stochastic differentials. Zbl 0325.60057
Ito, K.
1975
Stochastic calculus. Zbl 0335.60041
Ito, Kiyosi
1975
Stochastic parallel displacement. Zbl 0308.60027
Ito, Kiyosi
1975
Diffusion processes and their sample paths. 2nd printing, corrected. Zbl 0285.60063
Ito, K.; McKean, H. P. jun.
1974
Poisson point processes attached to Markov processes. Zbl 0284.60051
Ito, Kiyosi
1972
The topological support of Gauss measure on Hilbert space. Zbl 0206.43001
Itô, K.
1970
Canonical measurable random functions. Zbl 0229.60028
Itô, Kiyosi
1970
Stochastic processes. Zbl 0226.60053
Ito, K.
1969
On the convergence of sums of independent Banach space valued random variables. Zbl 0177.45102
Ito, K.; Nisio, N.
1968
On the oscillation functions of Gaussian processes. Zbl 0231.60027
Itô, Kiyosi; Nisio, Makiko
1968
Diffusion processes and their sample paths. Zbl 0153.47302
Ito, K.; McKean, H. P. jun.
1968
The canonical modification of stochastic processes. Zbl 0164.46804
Ito, K.
1968
Diffusion processes and their sample paths. Zbl 0127.09503
Ito, K.; McKean, H. P. jun.
1965
Transformation of Markov processes by multiplicative functionals. Zbl 0141.15103
Ito, K.; Watanabe, S.
1965
On stationary solutions of a stochastic differential equation. Zbl 0131.16402
Ito, K.; Nisio, M.
1964
The expected number of zeros of continuous stationary Gaussian processes. Zbl 0139.34102
Ito, K.
1964
Brownian motions on a half line. Zbl 0114.33601
Ito, K.; McKean, H. P. jun.
1963
The Brownian motion and tensor fields on Riemannian manifold. Zbl 0116.36105
Itô, Kiyosi
1963
A survey of stochastic processes. Zbl 0114.34105
Ito, K.
1962
Wiener integral and Feynman integral. Zbl 0135.18803
Itô, Kiyosi
1961
Potentials and the random walk. Zbl 0238.60047
Ito, Kiyosi; McKean, H. P. jun.
1960
Spectral type of the shift transformation of differential processes with stationary increments. Zbl 0073.35303
Ito, Kiyosi
1956
Isotropic random current. Zbl 0071.13201
Itô, Kiyosi
1956
Stationary random distributions. Zbl 0059.11505
Itô, Kiyosi
1954
Stochastic differential equations in a differentiable manifold. II. Zbl 0053.27302
Itô, Kiyosi
1953
Complex multiple Wiener integral. Zbl 0049.08602
Itô, Kiyosi
1952
Multiple Wiener integral. Zbl 0044.12202
Ito, Kiyosi
1951
On a formula concerning stochastic differentials. Zbl 0045.07603
Itô, Kiyosi
1951
On stochastic differential equations. Zbl 0054.05803
Ito, Kiyosi
1951
Stochastic differential equations in a differentiable manifold. Zbl 0039.35103
Ito, Kiyosi
1950
Brownian motions in a Lie group. Zbl 0041.45703
Ito, Kiyosi
1950
On a stochastic integral equation. Zbl 0063.02992
Ito, Kiyosi
1946
Stochastic integral. Zbl 0060.29105
Ito, Kiyosi
1944
On the ergodicity of a certain stationary process. Zbl 0060.29002
Ito, Kiyosi
1944
A kinematic theory of turbulence. Zbl 0060.29003
Ito, Kiyosi
1944
A screw line in Hilbert space and its application to the probability theory. Zbl 0061.25304
Ito, Kiyosi
1944
On stochastic processes. I. (Infinitely divisible laws of probability.). Zbl 0060.28908
Ito, Kiyosi
1942
On the probability distribution on a compact group. I. Zbl 0026.13801
1940
On the probability distribution on a compact group. I. JFM 66.0544.04
1940
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Cited by 2,011 Authors

 23 Yor, Marc 18 Albeverio, Sergio A. 12 Nualart, David 12 Øksendal, Bernt Karsten 11 Bojdecki, Tomasz 11 Ismail, Mourad El-Houssieny 10 Burdzy, Krzysztof 10 Gorostiza, Luis G. 10 Jumarie, Guy M. 10 Zakai, Moshe 9 Linetsky, Vadim 9 Salminen, Paavo H. 9 Taqqu, Murad S. 9 Tudor, Constantin 9 Yano, Kouji 8 Engelbert, Hans Jürgen 8 Huang, Zhiyuan 8 Proske, Frank Norbert 7 Dawson, Donald Andrew 7 Ikeda, Nobuyuki 7 Jolis, Maria 7 Jørgensen, Palle E. T. 7 Knight, Frank Bardsley 7 Kuo, Hui-Hsiung 7 McKean, Henry P. jun. 7 Pitman, Jim William 7 Révész, Pál 7 Surgailis, Donatas 7 Wang, Yongjin 7 Watanabe, Shinzo 6 Bertoin, Jean 6 Bismut, Jean-Michel 6 Chen, Zhen-Qing 6 Csörgő, Miklós 6 Di Nunno, Giulia 6 Erickson, K. Bruce 6 Fageot, Julien 6 Fukushima, Masatoshi 6 Ghanmi, Allal 6 Kesten, Harry 6 Le Gall, Jean-François 6 Nagasawa, Masao 6 Ogawa, Shigeyoshi 6 Orsingher, Enzo 6 Pérez-Abreu Carrión, Víctor M. 6 Peszat, Szymon 6 Rajeev, Bhaskaran 6 Rozovskii, Boris L. 6 Schmidt, Wolfgang M. 6 Shih, Hsin-Hung 6 Tanaka, Hiroshi L. 6 Vallois, Pierre 6 Waymire, Edward C. 6 Weber, Matthias 6 Wu, Jianglun 5 Bass, Richard F. 5 Csáki, Endre 5 Getoor, Ronald Kay 5 Harris, Simon C. 5 Jakubowski, Jacek 5 Kallianpur, Gopinath 5 Kasahara, Yuji 5 Kendall, Wilfrid S. 5 León, Jorge A. 5 Louchard, Guy 5 Mukherjea, Arunava 5 Scheutzow, Michael K. R. 5 Schurz, Henri 5 Shi, Zhan 5 Smolyanov, Oleg Georgievich 5 Song, Shiyu 5 Unser, Michael A. 5 Ustunel, Ali Suleyman 5 Utzet, Frederic 5 van Zanten, Harry 5 Vives, Josep 5 Wong, Eugene Franklin 5 Ying, Jiangang 4 Abdulla, Ugur G. 4 Alvarez, Luis H. R. 4 Balan, Raluca M. 4 Benahmadi, Abdelhadi 4 Bingham, Nicholas Hugh 4 Bobrowski, Adam 4 Borodin, Andreĭ Nikolaevich 4 Buldygin, Valeriĭ Volodymyrovych 4 Dudley, Richard Mansfield 4 Duncan, Tyrone E. 4 Dynkin, Evgeniĭ Borisovich 4 Eliazar, Iddo I. 4 Földes, Antónia 4 Fonseca-Mora, Christian A. 4 Freidlin, Mark I. 4 Grenander, Ulf 4 Hamana, Yuji 4 Kharlamov, Boris Pavlovich 4 Harris, John William 4 Horowitz, Joseph 4 Kachanovsky, Nikolai A. 4 Karatzas, Ioannis ...and 1,911 more Authors
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Cited in 341 Serials

 144 Stochastic Processes and their Applications 114 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 74 Journal of Functional Analysis 65 Probability Theory and Related Fields 54 Journal of Mathematical Analysis and Applications 47 Statistics & Probability Letters 45 Transactions of the American Mathematical Society 44 Stochastic Analysis and Applications 38 The Annals of Probability 36 Journal of Theoretical Probability 30 Journal of Multivariate Analysis 25 Journal of Statistical Physics 23 The Annals of Applied Probability 21 Communications in Mathematical Physics 21 Journal of Mathematical Physics 20 Stochastics 18 Lithuanian Mathematical Journal 18 Infinite Dimensional Analysis, Quantum Probability and Related Topics 17 Journal of Soviet Mathematics 17 Mathematische Nachrichten 16 Journal of Applied Probability 16 Proceedings of the American Mathematical Society 16 Journal of Mathematical Sciences (New York) 15 Journal of Computational and Applied Mathematics 15 Publications of the Research Institute for Mathematical Sciences, Kyoto University 14 Applied Mathematics and Optimization 13 Nagoya Mathematical Journal 13 Potential Analysis 12 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 12 Bernoulli 11 Ukrainian Mathematical Journal 11 Advances in Mathematics 11 Journal of Statistical Planning and Inference 11 Acta Applicandae Mathematicae 10 Proceedings of the Japan Academy. Series A 10 Bulletin des Sciences Mathématiques 10 Stochastics 9 Journal of the Mathematical Society of Japan 9 Mathematische Zeitschrift 9 Advances in Applied Mathematics 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Finance and Stochastics 8 Communications on Pure and Applied Mathematics 8 Journal of the Franklin Institute 8 Arkiv för Matematik 8 Chaos, Solitons and Fractals 8 Applied Mathematics and Computation 8 Automatica 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Mathematical Finance 8 Bulletin of the American Mathematical Society 8 Frontiers of Mathematics in China 7 Mathematical Biosciences 7 Journal of Differential Equations 7 Systems & Control Letters 7 Proceedings of the Japan Academy 7 Science China. Mathematics 6 Mathematical Notes 6 Annals of the Institute of Statistical Mathematics 6 Annals of Physics 6 European Journal of Operational Research 6 Bulletin of the American Mathematical Society. New Series 6 Stochastics and Stochastics Reports 6 Electronic Communications in Probability 6 Doklady Mathematics 6 International Journal of Theoretical and Applied Finance 6 Acta Mathematica Sinica. English Series 5 Physica A 5 Reports on Mathematical Physics 5 Compositio Mathematica 5 Inventiones Mathematicae 5 Kodai Mathematical Journal 5 Mathematische Annalen 5 Insurance Mathematics & Economics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Economic Dynamics & Control 5 Stochastic Hydrology and Hydraulics 5 Differentsial’nye Uravneniya i Protsessy Upravleniya 5 Japanese Journal of Mathematics. 3rd Series 4 Computers & Mathematics with Applications 4 Israel Journal of Mathematics 4 Journal d’Analyse Mathématique 4 Journal of Computational Physics 4 Annales de l’Institut Fourier 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Monatshefte für Mathematik 4 Results in Mathematics 4 Tohoku Mathematical Journal. Second Series 4 Acta Mathematica Hungarica 4 Statistical Science 4 Applied Mathematics Letters 4 Journal of Integral Equations and Applications 4 Random Operators and Stochastic Equations 4 Discrete and Continuous Dynamical Systems 4 Mathematical Problems in Engineering 4 Soft Computing 4 Methodology and Computing in Applied Probability 4 Journal of Evolution Equations 4 Stochastic Models 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 241 more Serials
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Cited in 56 Fields

 1,434 Probability theory and stochastic processes (60-XX) 150 Partial differential equations (35-XX) 105 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 91 Statistics (62-XX) 91 Systems theory; control (93-XX) 86 Quantum theory (81-XX) 84 Ordinary differential equations (34-XX) 76 Operator theory (47-XX) 75 Functional analysis (46-XX) 66 Global analysis, analysis on manifolds (58-XX) 61 Measure and integration (28-XX) 60 Numerical analysis (65-XX) 60 Statistical mechanics, structure of matter (82-XX) 51 Biology and other natural sciences (92-XX) 43 Dynamical systems and ergodic theory (37-XX) 39 Potential theory (31-XX) 35 Special functions (33-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 27 Abstract harmonic analysis (43-XX) 26 Real functions (26-XX) 23 Fluid mechanics (76-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 18 Differential geometry (53-XX) 17 Functions of a complex variable (30-XX) 17 Operations research, mathematical programming (90-XX) 15 Topological groups, Lie groups (22-XX) 14 Combinatorics (05-XX) 13 Integral equations (45-XX) 13 Mechanics of particles and systems (70-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Computer science (68-XX) 10 Number theory (11-XX) 10 Manifolds and cell complexes (57-XX) 9 Nonassociative rings and algebras (17-XX) 9 Mechanics of deformable solids (74-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Integral transforms, operational calculus (44-XX) 8 Information and communication theory, circuits (94-XX) 7 History and biography (01-XX) 7 Optics, electromagnetic theory (78-XX) 6 Mathematical logic and foundations (03-XX) 6 Geophysics (86-XX) 5 Approximations and expansions (41-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Relativity and gravitational theory (83-XX) 4 Group theory and generalizations (20-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Algebraic topology (55-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Astronomy and astrophysics (85-XX)

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