Edit Profile (opens in new tab) Ikeda, Nobuyuki Co-Author Distance Author ID: ikeda.nobuyuki Published as: Ikeda, Nobuyuki; Ikeda, N. Documents Indexed: 58 Publications since 1956, including 4 Books 4 Contributions as Editor · 1 Further Contribution Co-Authors: 25 Co-Authors with 53 Joint Publications 445 Co-Co-Authors all top 5 Co-Authors 8 single-authored 23 Watanabe, Shinzo 11 Nagasawa, Masao 7 Manabe, Shojiro 4 Taniguchi, Setsuo 3 Kusuoka, Shigeo 3 Matsumoto, Hiroyuki 3 Ogura, Yukio 2 Elworthy, K. David 2 Hida, Takeyuki 2 Itō, Kiyosi 2 Kunita, Hiroshi 2 Morimoto, Haruki 2 Sato, Ken-iti 2 Yamato, Yuiti 1 Fukushima, Masatoshi 1 Hara, Keisuke 1 Ichihara, Kanji 1 Kawazu, Kiyoshi 1 Nakao, Shintaro 1 Nisio, Makiko 1 Nualart, David 1 Ochi, Yoko 1 Ochiai, N. 1 Philo, D. 1 Shigekawa, Ichiro 1 Stroock, Daniel W. 1 Tanaka, Hiroshi 1 Trevino, E. 1 Ueno, Tadasi 1 Washio, Yasutoshi all top 5 Serials 7 Proceedings of the Japan Academy 5 Journal of Mathematics of Kyoto University 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Sūgaku 2 Stochastic Processes and their Applications 2 Bulletin des Sciences Mathématiques 2 North-Holland Mathematical Library 2 Pitman Research Notes in Mathematics Series 1 Communications on Pure and Applied Mathematics 1 Wave Motion 1 Bulletin of Mathematical Statistics 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Journal of the Faculty of Science. Section I A 1 Journal of Functional Analysis 1 Osaka Journal of Mathematics 1 Journal of Physics A: Mathematical and General 1 Journal of Applied Statistics 1 Kodai Mathematical Seminar Reports 1 Memoirs of the College of Science, University of Kyoto, Series A 1 RIMS Kokyuroku all top 5 Fields 47 Probability theory and stochastic processes (60-XX) 13 Global analysis, analysis on manifolds (58-XX) 6 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Partial differential equations (35-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 51 Publications have been cited 3,503 times in 3,252 Documents Cited by ▼ Year ▼ Stochastic differential equations and diffusion processes. Zbl 0495.60005 Ikeda, Nobuyuki; Watanabe, Shinzo 1,450 1981 Stochastic differential equations and diffusion processes. 2nd ed. Zbl 0684.60040 Ikeda, Nobuyuki; Watanabe, Shinzo 1,249 1989 A comparison theorem for solutions of stochastic differential equations and its applications. Zbl 0376.60065 Ikeda, Nobuyuki; Watanabe, Shinzo 156 1977 Branching Markov processes. I. Zbl 0233.60068 Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo 84 1968 On some relations between the harmonic measure and the Levy measure for a certain class of Markov processes. Zbl 0118.13401 Ikeda, N.; Watanabe, S. 78 1962 Branching Markov processes. III. Zbl 0233.60070 Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo 61 1969 A construction of Markov processes by piecing out. Zbl 0178.53401 Ikeda, N.; Nagasawa, M.; Watanabe, S. 49 1966 Branching Markov processes. II. Zbl 0233.60069 Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo 45 1968 A class of approximations of Brownian motion. Zbl 0391.60055 Ikeda, Nobuyuki; Nakao, Shintaro; Yamato, Yuiti 36 1977 On branching Markov processes. Zbl 0224.60038 Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo 30 1965 Stochastic differential equations and diffusion processes. (Stokhasticheskie differentsial’nye uravneniya i diffuzionnye protsessy). Transl. from the English by G. N. Kinkladze. Zbl 0607.60041 Watanabe, Shinzo; Ikeda, Nobuyuki 25 1986 Brownian motion on the hyperbolic plane and Selberg trace formula. Zbl 0928.60063 Ikeda, Nobuyuki; Matsumoto, Hiroyuki 24 1999 Integral of differential forms along the path of diffusion processes. Zbl 0462.60056 Ikeda, Nobuyuki; Manabe, Shojiro 21 1979 Analysis on Hilbert space with reproducing kernel arising from multiple Wiener integral. Zbl 0212.19803 Hida, T.; Ikeda, Nobuyuki 20 1967 Fundamental equations of branching Markov processes. Zbl 0154.42701 Ikeda, N.; Nagasawa, M.; Watanabe, S. 15 1966 The local structure of a class of diffusions and related problems. Zbl 0264.60052 Ikeda, Nobuyuki; Watanabe, Shinzo 13 1973 On the construction of two-dimensional diffusion processes satisfying Wentzell’s boundary conditions and its application to boundary value problems. Zbl 0102.13903 Ikeda, Nobuyuki 12 1961 An introduction to Malliavin’s calculus. Zbl 0546.60055 Ikeda, Nobuyuki; Watanabe, Shinzo 11 1984 Asymptotic formulae for stochastic oscillatory integrals. Zbl 0872.60040 Ikeda, N.; Manabe, Shojiro 9 1993 Stochastic flows of diffeomorphisms. Zbl 0561.60079 Ikeda, Nobuyuki; Watanabe, Shinzo 8 1984 Lévy’s stochastic area formula and related problems. Zbl 0837.60052 Ikeda, N.; Kusuoka, S.; Manabe, S. 7 1995 Malliavin calculus of Wiener functionals and its applications. Zbl 0612.60049 Ikeda, N.; Watanabe, S. 7 1986 On uniqueness and non-uniqueness of solutions for a class of non-linear equations and explosion problem for branching processes. Zbl 0205.43702 Ikeda, N.; Watanabe, S. 7 1970 Central limit theorems and random currents. Zbl 0589.60066 Ikeda, Nobuyuki; Ochi, Yoko 6 1986 A construction of branching Markov processes. Zbl 0178.53402 Ikeda, N.; Nagasawa, M.; Watanabe, S. 6 1966 A degenerating sequence of Riemannian metrics on a manifold and their Brownian motions. Zbl 0742.58058 Ikeda, Nobuyuki; Ogura, Yukio 5 1990 Itô’s stochastic calculus and probability theory. Tribute dedicated to Kiyosi Itô on the occasion of his 80th birthday. Zbl 0852.00016 5 1996 Limit theorems for a class of random currents. Zbl 0638.60041 Ikeda, Nobuyuki 5 1987 Short time asymptotics for fundamental solutions of diffusion equations. Zbl 0647.60085 Ikeda, Nobuyuki; Kusuoka, Shigeo 5 1988 On branching semi-groups. I. Zbl 0203.18102 Ikeda, N.; Nagasawa, M.; Watanabe, S. 5 1966 The Itô-Nisio theorem, quadratic Wiener functionals, and 1-solitons. Zbl 1203.60059 Ikeda, Nobuyuki; Taniguchi, Setsuo 5 2010 Van Vleck-Pauli formula for Wiener integrals and Jacobi fields. Zbl 0865.60067 Ikeda, Nobuyuki; Manabe, Shojiro 4 1996 The Malliavin calculus and long time asymptotics of certain Wiener integrals. Zbl 0573.60055 Ikeda, Nobuyuki; Shigekawa, Ichiro; Taniguchi, Setsuo 4 1985 Quadratic Wiener functionals, Kalman-Bucy filters, and the KdV equation. Zbl 1057.60055 Ikeda, Nobuyuki; Taniguchi, Setsuo 4 2004 The Kolmogorov operator and classical mechanics. Zbl 1334.60161 Ikeda, Nobuyuki; Matsumoto, Hiroyuki 4 2015 Quadratic Wiener functionals and dynamics on Grassmannians. Zbl 0995.60051 Hara, Keisuke; Ikeda, Nobuyuki 3 2001 Lévy’s stochastic area formula for Gaussian processes. Zbl 0803.60037 Ikeda, Nobuyuki; Kusuoka, Sigeo; Manabe, Shojiro 3 1994 Heat equation and diffusion on Riemannian manifold with boundary. Zbl 0451.60073 Ikeda, Nobuyuki; Watanabe, Shinzo 3 1978 Asymptotic problems in probability theory: stochastic models and diffusions on fractals. Proceedings of the 26th Taniguchi international symposium, Sanda and Kyoto, Japan, August 31 - September 5, 1990. Zbl 0780.00028 3 1993 A time reversion of Markov processes with killing. Zbl 0133.10801 Ikeda, Nobuyuki; Nagasawa, M.; Sato, K. 3 1964 Unbiased estimation based on sufficient statistics. Zbl 0075.29205 Washio, Yasutoshi; Morimoto, Haruki; Ikeda, Nobuyuki 3 1956 Probabilistic methods in the study of asymptotics. Zbl 0727.60059 Ikeda, N. 2 1990 On branching semi-groups. II. Zbl 0203.18103 Ikeda, N.; Nagasawa, M.; Watanabe, S. 2 1966 Transformation of branching Markov processes. Zbl 0147.36702 Ikeda, N.; Nagasawa, M.; Watanabe, S. 2 1966 Stochastic integral of differential forms and its applications. Zbl 0451.60060 Ikeda, Nobuyuki; Manabe, Shojiro 1 1978 Asymptotic problems in probability theory: Wiener functionals and asymptotics. Proceedings of the 26th Taniguchi international symposium, Sanda and Kyoto, Japan, August 31 - September 5, 1990. Zbl 0780.00029 1 1993 Probabilistic methods in mathematical physics. Proceedings of the 16th Taniguchi International Symposium, Katata and Kyoto (Japan), 1985. Zbl 0633.00021 1 1987 Malliavin calculus at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 976 (1983), 1427 (1990) and 1690 (1998). Zbl 1261.60004 Ikeda, Nobuyuki; Nualart, David; Stroock, Daniel W. 1 2012 Branching one-dimensional periodic diffusion processes. Zbl 0557.60073 Ikeda, Nobuyuki; Kawazu, Kiyoshi; Ogura, Yukio 1 1985 Note on linear processes. Zbl 0101.11501 Hida, Takeyuki; Ikeda, Nobuyuki 1 1961 Interdependency amongst earthquake magnitudes in Southern California. Zbl 1460.86043 Nichols, K.; Trevino, E.; Ikeda, N.; Philo, D.; Garcia, A.; Bowman, D. 1 2018 Interdependency amongst earthquake magnitudes in Southern California. Zbl 1460.86043 Nichols, K.; Trevino, E.; Ikeda, N.; Philo, D.; Garcia, A.; Bowman, D. 1 2018 The Kolmogorov operator and classical mechanics. Zbl 1334.60161 Ikeda, Nobuyuki; Matsumoto, Hiroyuki 4 2015 Malliavin calculus at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 976 (1983), 1427 (1990) and 1690 (1998). Zbl 1261.60004 Ikeda, Nobuyuki; Nualart, David; Stroock, Daniel W. 1 2012 The Itô-Nisio theorem, quadratic Wiener functionals, and 1-solitons. Zbl 1203.60059 Ikeda, Nobuyuki; Taniguchi, Setsuo 5 2010 Quadratic Wiener functionals, Kalman-Bucy filters, and the KdV equation. Zbl 1057.60055 Ikeda, Nobuyuki; Taniguchi, Setsuo 4 2004 Quadratic Wiener functionals and dynamics on Grassmannians. Zbl 0995.60051 Hara, Keisuke; Ikeda, Nobuyuki 3 2001 Brownian motion on the hyperbolic plane and Selberg trace formula. Zbl 0928.60063 Ikeda, Nobuyuki; Matsumoto, Hiroyuki 24 1999 Itô’s stochastic calculus and probability theory. Tribute dedicated to Kiyosi Itô on the occasion of his 80th birthday. Zbl 0852.00016 5 1996 Van Vleck-Pauli formula for Wiener integrals and Jacobi fields. Zbl 0865.60067 Ikeda, Nobuyuki; Manabe, Shojiro 4 1996 Lévy’s stochastic area formula and related problems. Zbl 0837.60052 Ikeda, N.; Kusuoka, S.; Manabe, S. 7 1995 Lévy’s stochastic area formula for Gaussian processes. Zbl 0803.60037 Ikeda, Nobuyuki; Kusuoka, Sigeo; Manabe, Shojiro 3 1994 Asymptotic formulae for stochastic oscillatory integrals. Zbl 0872.60040 Ikeda, N.; Manabe, Shojiro 9 1993 Asymptotic problems in probability theory: stochastic models and diffusions on fractals. Proceedings of the 26th Taniguchi international symposium, Sanda and Kyoto, Japan, August 31 - September 5, 1990. Zbl 0780.00028 3 1993 Asymptotic problems in probability theory: Wiener functionals and asymptotics. Proceedings of the 26th Taniguchi international symposium, Sanda and Kyoto, Japan, August 31 - September 5, 1990. Zbl 0780.00029 1 1993 A degenerating sequence of Riemannian metrics on a manifold and their Brownian motions. Zbl 0742.58058 Ikeda, Nobuyuki; Ogura, Yukio 5 1990 Probabilistic methods in the study of asymptotics. Zbl 0727.60059 Ikeda, N. 2 1990 Stochastic differential equations and diffusion processes. 2nd ed. Zbl 0684.60040 Ikeda, Nobuyuki; Watanabe, Shinzo 1,249 1989 Short time asymptotics for fundamental solutions of diffusion equations. Zbl 0647.60085 Ikeda, Nobuyuki; Kusuoka, Shigeo 5 1988 Limit theorems for a class of random currents. Zbl 0638.60041 Ikeda, Nobuyuki 5 1987 Probabilistic methods in mathematical physics. Proceedings of the 16th Taniguchi International Symposium, Katata and Kyoto (Japan), 1985. Zbl 0633.00021 1 1987 Stochastic differential equations and diffusion processes. (Stokhasticheskie differentsial’nye uravneniya i diffuzionnye protsessy). Transl. from the English by G. N. Kinkladze. Zbl 0607.60041 Watanabe, Shinzo; Ikeda, Nobuyuki 25 1986 Malliavin calculus of Wiener functionals and its applications. Zbl 0612.60049 Ikeda, N.; Watanabe, S. 7 1986 Central limit theorems and random currents. Zbl 0589.60066 Ikeda, Nobuyuki; Ochi, Yoko 6 1986 The Malliavin calculus and long time asymptotics of certain Wiener integrals. Zbl 0573.60055 Ikeda, Nobuyuki; Shigekawa, Ichiro; Taniguchi, Setsuo 4 1985 Branching one-dimensional periodic diffusion processes. Zbl 0557.60073 Ikeda, Nobuyuki; Kawazu, Kiyoshi; Ogura, Yukio 1 1985 An introduction to Malliavin’s calculus. Zbl 0546.60055 Ikeda, Nobuyuki; Watanabe, Shinzo 11 1984 Stochastic flows of diffeomorphisms. Zbl 0561.60079 Ikeda, Nobuyuki; Watanabe, Shinzo 8 1984 Stochastic differential equations and diffusion processes. Zbl 0495.60005 Ikeda, Nobuyuki; Watanabe, Shinzo 1,450 1981 Integral of differential forms along the path of diffusion processes. Zbl 0462.60056 Ikeda, Nobuyuki; Manabe, Shojiro 21 1979 Heat equation and diffusion on Riemannian manifold with boundary. Zbl 0451.60073 Ikeda, Nobuyuki; Watanabe, Shinzo 3 1978 Stochastic integral of differential forms and its applications. Zbl 0451.60060 Ikeda, Nobuyuki; Manabe, Shojiro 1 1978 A comparison theorem for solutions of stochastic differential equations and its applications. Zbl 0376.60065 Ikeda, Nobuyuki; Watanabe, Shinzo 156 1977 A class of approximations of Brownian motion. Zbl 0391.60055 Ikeda, Nobuyuki; Nakao, Shintaro; Yamato, Yuiti 36 1977 The local structure of a class of diffusions and related problems. Zbl 0264.60052 Ikeda, Nobuyuki; Watanabe, Shinzo 13 1973 On uniqueness and non-uniqueness of solutions for a class of non-linear equations and explosion problem for branching processes. Zbl 0205.43702 Ikeda, N.; Watanabe, S. 7 1970 Branching Markov processes. III. Zbl 0233.60070 Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo 61 1969 Branching Markov processes. I. Zbl 0233.60068 Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo 84 1968 Branching Markov processes. II. Zbl 0233.60069 Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo 45 1968 Analysis on Hilbert space with reproducing kernel arising from multiple Wiener integral. Zbl 0212.19803 Hida, T.; Ikeda, Nobuyuki 20 1967 A construction of Markov processes by piecing out. Zbl 0178.53401 Ikeda, N.; Nagasawa, M.; Watanabe, S. 49 1966 Fundamental equations of branching Markov processes. Zbl 0154.42701 Ikeda, N.; Nagasawa, M.; Watanabe, S. 15 1966 A construction of branching Markov processes. Zbl 0178.53402 Ikeda, N.; Nagasawa, M.; Watanabe, S. 6 1966 On branching semi-groups. I. Zbl 0203.18102 Ikeda, N.; Nagasawa, M.; Watanabe, S. 5 1966 On branching semi-groups. II. Zbl 0203.18103 Ikeda, N.; Nagasawa, M.; Watanabe, S. 2 1966 Transformation of branching Markov processes. Zbl 0147.36702 Ikeda, N.; Nagasawa, M.; Watanabe, S. 2 1966 On branching Markov processes. Zbl 0224.60038 Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo 30 1965 A time reversion of Markov processes with killing. Zbl 0133.10801 Ikeda, Nobuyuki; Nagasawa, M.; Sato, K. 3 1964 On some relations between the harmonic measure and the Levy measure for a certain class of Markov processes. Zbl 0118.13401 Ikeda, N.; Watanabe, S. 78 1962 On the construction of two-dimensional diffusion processes satisfying Wentzell’s boundary conditions and its application to boundary value problems. Zbl 0102.13903 Ikeda, Nobuyuki 12 1961 Note on linear processes. Zbl 0101.11501 Hida, Takeyuki; Ikeda, Nobuyuki 1 1961 Unbiased estimation based on sufficient statistics. Zbl 0075.29205 Washio, Yasutoshi; Morimoto, Haruki; Ikeda, Nobuyuki 3 1956 all cited Publications top 5 cited Publications all top 5 Cited by 3,079 Authors 40 Jiang, Daqing 31 Zhang, Tusheng S. 28 Zhang, Xicheng 24 Chen, Zhen-Qing 24 Mao, Xuerong 22 Wu, Jianglun 21 Liu, Meng 20 Brzeźniak, Zdzisław 20 Léandre, Rémi 20 Li, Zenghu 19 Albeverio, Sergio A. 19 Yamada, Toshihiro 18 Nualart, David 18 Wang, Feng-Yu 18 Wang, Ke 17 Borkar, Vivek Shripad 17 Shao, Jinghai 16 Barczy, Mátyás 16 Qiao, Huijie 16 Song, Renming 16 Xiong, Jie 15 Bally, Vlad 15 Hayat, Tasawar 15 Nagasawa, Masao 15 Ouknine, Youssef 15 Yuan, Chenggui 14 Abundo, Mario 14 Xi, Fubao 14 Zhai, Jianliang 13 Cruzeiro, Ana-Bela 13 Duan, Jinqiao 13 Huang, Xing 13 Ikeda, Nobuyuki 13 Karatzas, Ioannis 13 Méléard, Sylvie 13 Pap, Gyula 13 Watanabe, Shinzo 13 Yin, Gang George 13 Zou, Xiaoling 12 Beznea, Lucian 12 Flandoli, Franco 12 Kifer, Yuri 12 Ren, Jiagang 12 Taniguchi, Setsuo 11 Bogdan, Krzysztof 11 Fang, Shizan 11 Gaeta, Giuseppe 11 Gyöngy, István 11 Kulczycki, Tadeusz 11 Luo, Dejun 11 Mytnik, Leonid 11 Qian, Zhongmin M. 11 Ryznar, Michał 11 Zambrini, Jean-Claude 10 Budhiraja, Amarjit S. 10 Dawson, Donald Andrew 10 Deugoue, Gabriel 10 Grzywny, Tomasz 10 Hering, Heinrich 10 Inahama, Yuzuru 10 Liang, Zongxia 10 Löcherbach, Eva 10 Matsumoto, Hiroyuki 10 Nguyen Huu Du 10 Röckner, Michael 10 Takahashi, Akihiko 10 Yin, George Gang 10 Yoshida, Nakahiro 10 Zhu, Chao 9 Bao, Jianhai 9 Bismut, Jean-Michel 9 Bo, Lijun 9 Cattiaux, Patrick 9 Goreac, Dan 9 Haba, Zbigniew 9 Kim, Panki 9 Krylov, Nicolaĭ Vladimirovich 9 Kulik, Alexey M. 9 Kuwada, Kazumasa 9 Manna, Utpal 9 Mohan, Manil Thankamani 9 Pardoux, Etienne 9 Privault, Nicolas 9 Tachim Medjo, Theodore 8 Al-saedi, Ahmed Eid Salem 8 Bass, Richard F. 8 Criens, David 8 Driver, Bruce K. 8 Fatalov, Vadim Rolandovich 8 Funaki, Tadahisa 8 Gao, Hongjun 8 Ghosh, Mrinal Kanti 8 Han, Bingtao 8 Hausenblas, Erika 8 Ichinose, Takashi 8 Ji, Chunyan 8 Kohatsu-Higa, Arturo 8 Kunita, Hiroshi 8 Kurenok, Vladimir P. 8 Kusuoka, Seiichiro Kusuoka ...and 2,979 more Authors all top 5 Cited in 423 Serials 247 Stochastic Processes and their Applications 144 Probability Theory and Related Fields 126 Stochastic Analysis and Applications 112 Journal of Functional Analysis 85 Journal of Mathematical Analysis and Applications 85 The Annals of Probability 73 Potential Analysis 62 The Annals of Applied Probability 59 Statistics & Probability Letters 54 Stochastics and Dynamics 53 Transactions of the American Mathematical Society 49 Journal of Differential Equations 47 Journal of Theoretical Probability 44 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 42 Electronic Journal of Probability 39 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 37 Applied Mathematics and Optimization 37 Stochastics 30 Journal of Mathematical Physics 29 Journal of Statistical Physics 29 Stochastics 28 Communications in Mathematical Physics 27 Applied Mathematics and Computation 27 Systems & Control Letters 27 Infinite Dimensional Analysis, Quantum Probability and Related Topics 25 Journal of Computational and Applied Mathematics 23 Acta Applicandae Mathematicae 23 Bernoulli 22 Journal of Mathematical Biology 21 Discrete and Continuous Dynamical Systems. Series B 21 Stochastic and Partial Differential Equations. Analysis and Computations 20 SIAM Journal on Control and Optimization 20 Journal of Mathematical Sciences (New York) 20 Bulletin des Sciences Mathématiques 19 Differential Equations 16 Physica A 16 Chaos, Solitons and Fractals 16 Mathematical Finance 16 Acta Mathematica Sinica. English Series 16 Communications in Nonlinear Science and Numerical Simulation 16 Advances in Difference Equations 16 Proceedings of the Japan Academy 15 Advances in Applied Probability 15 Journal of Applied Probability 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Proceedings of the Japan Academy. Series A 15 Journal of Evolution Equations 14 Journal of Multivariate Analysis 14 Tôhoku Mathematical Journal. Second Series 13 Reports on Mathematical Physics 13 Insurance Mathematics & Economics 13 SIAM Journal on Mathematical Analysis 13 Stochastics and Stochastics Reports 13 Journal of Dynamics and Differential Equations 12 Ukrainian Mathematical Journal 12 Methodology and Computing in Applied Probability 12 International Journal of Biomathematics 12 Science China. Mathematics 11 Lithuanian Mathematical Journal 11 Acta Mathematicae Applicatae Sinica. English Series 11 Applied Mathematics Letters 11 Journal of Nonlinear Science 11 Mathematical Problems in Engineering 11 Abstract and Applied Analysis 10 Mathematics and Computers in Simulation 10 Proceedings of the American Mathematical Society 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Electronic Communications in Probability 10 Discrete and Continuous Dynamical Systems 10 International Journal of Theoretical and Applied Finance 10 Asia-Pacific Financial Markets 10 ALEA. Latin American Journal of Probability and Mathematical Statistics 10 Frontiers of Mathematics in China 9 Mathematical Biosciences 9 Journal of the Mathematical Society of Japan 9 Journal of Optimization Theory and Applications 9 Osaka Journal of Mathematics 9 Random Operators and Stochastic Equations 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Nonlinear Analysis. Hybrid Systems 8 Computers & Mathematics with Applications 8 Journal of Geometry and Physics 8 Automatica 8 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Theory of Probability and Mathematical Statistics 8 NoDEA. Nonlinear Differential Equations and Applications 8 Monte Carlo Methods and Applications 8 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 8 Quantitative Finance 8 Journal of Physics A: Mathematical and Theoretical 7 International Journal of Theoretical Physics 7 Mathematical Methods in the Applied Sciences 7 Nonlinearity 7 Theory of Probability and its Applications 7 Applied Mathematical Modelling 7 Journal of Nonlinear Mathematical Physics 7 Acta Mathematica Scientia. Series B. (English Edition) 7 Communications on Pure and Applied Analysis 6 Scandinavian Journal of Statistics 6 Mathematische Nachrichten ...and 323 more Serials all top 5 Cited in 54 Fields 2,684 Probability theory and stochastic processes (60-XX) 542 Partial differential equations (35-XX) 301 Systems theory; control (93-XX) 293 Biology and other natural sciences (92-XX) 274 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 256 Ordinary differential equations (34-XX) 239 Global analysis, analysis on manifolds (58-XX) 202 Numerical analysis (65-XX) 181 Dynamical systems and ergodic theory (37-XX) 158 Statistics (62-XX) 150 Operator theory (47-XX) 131 Statistical mechanics, structure of matter (82-XX) 105 Calculus of variations and optimal control; optimization (49-XX) 102 Quantum theory (81-XX) 97 Fluid mechanics (76-XX) 76 Differential geometry (53-XX) 63 Potential theory (31-XX) 50 Functional analysis (46-XX) 47 Operations research, mathematical programming (90-XX) 37 Measure and integration (28-XX) 24 Integral equations (45-XX) 20 Mechanics of particles and systems (70-XX) 19 Relativity and gravitational theory (83-XX) 18 Real functions (26-XX) 16 Geophysics (86-XX) 15 Topological groups, Lie groups (22-XX) 14 Computer science (68-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Several complex variables and analytic spaces (32-XX) 10 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 9 Functions of a complex variable (30-XX) 9 Special functions (33-XX) 9 Approximations and expansions (41-XX) 9 Abstract harmonic analysis (43-XX) 8 Mechanics of deformable solids (74-XX) 7 Number theory (11-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 History and biography (01-XX) 6 Nonassociative rings and algebras (17-XX) 6 Difference and functional equations (39-XX) 6 Algebraic topology (55-XX) 4 General and overarching topics; collections (00-XX) 4 Algebraic geometry (14-XX) 4 Manifolds and cell complexes (57-XX) 4 Optics, electromagnetic theory (78-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year