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Ogura, Yukio

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 Author ID: ogura.yukio Published as: Ogura, Yukio; Ogura, Y. External Links: dblp · GND
 Documents Indexed: 59 Publications since 1970, including 1 Book Reviewing Activity: 4 Reviews
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Co-Authors

 11 single-authored 14 Li, Shoumei 7 Tomisaki, Matsuyo 5 Shimakura, Norio 3 Ikeda, Nobuyuki 3 Kôzaki, Masanori 3 Tsuchiya, Masaaki 2 Furusho, Yasuhiro 2 Kawazu, Kiyoshi 2 Kesten, Harry 2 Nguyen, Hung Trung 1 Handa, Kenji 1 Hashimoto, Yasuji 1 Iizuka, Masaru 1 Ito, H. M. 1 Kageyama, Seiji 1 Kalukottege, Prasansa 1 Kaneko, Jun-ichi 1 Kasue, Atsushi 1 Kreinovich, Vladik Yakovlevich 1 Kumura, Hironori 1 Li, Jun-Gang 1 Manabe, Shojiro 1 Matsumoto, Hiroyuki 1 Minami, Nariyuki 1 Proske, Frank Norbert 1 Puri, Madan Lal 1 Ralescu, Dan A. 1 Setokuchi, Takayoshi 1 Shiotani, Koshichi 1 Taniguchi, Setsuo 1 Tasena, Santi 1 Tran, Hien Duy 1 Yamada, Toshio
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Serials

 4 Fuzzy Sets and Systems 4 Journal of Mathematics of Kyoto University 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Journal of the Mathematical Society of Japan 2 The Annals of Probability 2 Reports of the Faculty of Science and Engineering. Saga University. Mathematics 2 Stochastic Processes and their Applications 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Duke Mathematical Journal 1 Information Sciences 1 Journal of Applied Probability 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Journal of Multivariate Analysis 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Tsukuba Journal of Mathematics 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Stochastic Analysis and Applications 1 Probability Theory and Related Fields 1 Sūgaku 1 International Journal of Approximate Reasoning 1 Sugaku Expositions 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 The Journal of Fuzzy Mathematics 1 Kyushu Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Theory and Decision Library. Series B: Mathematical and Statistical Methods
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Fields

 48 Probability theory and stochastic processes (60-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Partial differential equations (35-XX) 8 Biology and other natural sciences (92-XX) 6 Mathematical logic and foundations (03-XX) 6 Measure and integration (28-XX) 5 Real functions (26-XX) 4 Operator theory (47-XX) 3 General topology (54-XX) 2 Differential geometry (53-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

Citations contained in zbMATH Open

49 Publications have been cited 346 times in 229 Documents Cited by Year
Limit theorems and applications of set-valued and fuzzy set-valued random variables. Zbl 1348.60003
Li, Shoumei; Ogura, Yukio; Kreinovich, Vladik
2002
On the strong comparison theorems for solutions of stochastic differential equations. Zbl 0468.60056
1981
Convergence of set valued sub- and supermartingales in the Kuratowski-Mosco sense. Zbl 0938.60031
Li, Shoumei; Ogura, Yukio
1998
Strong laws of large numbers for independent fuzzy set-valued random variables. Zbl 1104.60307
Li, Shoumei; Ogura, Yukio
2006
Convergence of set-valued and fuzzy-valued martingales. Zbl 0933.60041
Li, Shoumei; Ogura, Yukio
1999
Separability for graph convergence of sequences of fuzzy-valued random variables. Zbl 0994.60035
Ogura, Yukio; Li, Shoumei
2001
Set defuzzification and Choquet integral. Zbl 1113.03342
Ogura, Yukio; Li, Shoumei; Ralescu, Dan A.
2001
Fuzzy random variables, conditional expectations and fuzzy valued martingales. Zbl 0879.60001
Li, Shoumei; Ogura, Yukio
1996
Strong solution of Itô type set-valued stochastic differential equation. Zbl 1202.60089
Li, Jun Gang; Li, Shou Mei; Ogura, Yukio
2010
A convergence theorem of fuzzy-valued martingales in the extended Hausdorff metric $$\mathbf {H}_{\infty}$$. Zbl 1020.60036
Li, Shoumei; Ogura, Yukio
2003
Central limit theorems for generalized set-valued random variables. Zbl 1029.60022
Li, Shoumei; Ogura, Yukio; Proske, Frank N.; Puri, Madan L.
2003
Asymptotic behavior of multitype Galton-Watson processes. Zbl 0314.60060
Ogura, Yukio
1975
Convergence of heat kernels on a compact manifold. Zbl 0914.58031
Kasue, Atsushi; Kumura, Hirnori; Ogura, Yukio
1997
Recurrence properties of Lotka-Volterra models with random fluctuations. Zbl 0449.92016
Kesten, H.; Ogura, Y.
1981
On the existence of bounded positive solutions of semilinear elliptic equations in exterior domains. Zbl 0478.35045
Furusho, Yasuhiro; Ogura, Yukio
1981
A limit theorem for particle numbers in bounded domains of a branching diffusion process. Zbl 0494.60083
Ogura, Yukio
1983
Convergence of local type Dirichlet forms to a non-local type one. Zbl 0997.60084
Ogura, Y.; Tomisaki, M.; Tsuchiya, M.
2002
Gaussian processes and martingales for fuzzy valued random variables with continuous parameter. Zbl 0988.60025
Li, Shoumei; Ogura, Yukio; Nguyen, Hung T.
2001
Spectral representation for branching processes on the real half line. Zbl 0236.60054
Ogura, Yukio
1970
On limit theorems for random fuzzy sets including large deviation principles. Zbl 1060.60029
Ogura, Yukio; Li, Shoumei
2004
Weak convergence of laws of stochastic processes on Riemannian manifolds. Zbl 0983.58017
Ogura, Yukio
2001
Asymptotic behavior of elementary solutions of one-dimensional generalized diffusion equations. Zbl 0574.60083
Minami, Nariyuki; Ogura, Yukio; Tomisaki, Matsuyo
1985
A degenerating sequence of Riemannian metrics on a manifold and their Brownian motions. Zbl 0742.58058
1990
Stationary solutions and their stability for Kimura’s diffusion model with intergroup selection. Zbl 0645.92013
Ogura, Yukio; Shimakura, Norio
1987
Spectral representation for branching processes with immigration on the real half line. Zbl 0236.60053
Ogura, Yukio
1970
On the solutions of linear elliptic equations in exterior domains. Zbl 0488.35029
Furusho, Yasuhiro; Ogura, Yukio
1983
A probabilistic scheme for collapse of metrics. Zbl 1002.58521
Ogura, Yukio; Taniguchi, Setsuo
1996
On geometric and stochastic mean values for small geodesic spheres in Riemannian manifolds. Zbl 0641.53045
Kôzaki, Masanori; Ogura, Yukio
1987
Stationary solutions and their stability for Kimura’s diffusion model with intergroup selection. II. Zbl 0645.92014
Ogura, Yukio; Shimakura, Norio
1987
On the independence of exit time and exit position from small geodesic balls for Brownian motion on Riemannian manifolds. Zbl 0653.58041
Kôzaki, Masanori; Ogura, Yukio
1988
Large and moderate deviations of random upper semicontinuous functions. Zbl 1206.60030
Ogura, Yukio; Li, Shoumei; Wang, Xia
2010
Short time asymptotics and an approximation for the heat kernel of a singular diffusion. Zbl 0866.60066
Hashimoto, Yasuji; Manabe, Shojiro; Ogura, Yukio
1996
Recurrence properties of Lotka-Volterra models with random fluctuations. Zbl 0443.92012
Kesten, H.; Ogura, Y.
1981
On a limit theorem for branching one-dimensional diffusion processes. Zbl 0461.60091
Kageyama, Seiji; Ogura, Yukio
1980
Convergence theorems for set valued and fuzzy valued martingales and smartingales. Zbl 0917.60046
Li, Shoumei; Ogura, Yukio
1998
Existence of a strong solution for an integro-differential equation and superposition of diffusion processes. Zbl 0985.47037
Ogura, Yukio; Tomisaki, Matsuyo; Tsuchiya, Masaaki
2000
One-dimensional bi-generalized diffusion processes. Zbl 0701.60078
Ogura, Yukio
1989
Asymptotic behaviors of moments for one-dimensional generalized diffusion processes. Zbl 0709.60086
Ogura, Yukio; Tomisaki, Matsuyo
1990
Markov or non-Markov property of $$cM-X$$ processes. Zbl 1061.60086
Matsumoto, Hiroyuki; Ogura, Yukio
2004
A limit theorem for branching one-dimensional periodic diffusion processes. Zbl 0539.60085
Kawazu, Kiyoshi; Ogura, Yukio
1984
Large deviations for random upper semicontinuous functions. Zbl 1181.60039
Ogura, Yukio; Setokuchi, Takayoshi
2009
A note on random upper semicontinuous functions. Zbl 1110.54010
Nguyen, Hung T.; Ogura, Yukio; Tasena, Santi; Tran, Hien
2006
On some metrics compatible with the Fell-Matheron topology. Zbl 1146.54003
Ogura, Yukio
2007
Superposition of diffusion processes: Feller property. Zbl 1001.60082
Ogura, Yukio; Tomisaki, Matsuyo; Tsuchiya, Masaaki
1999
Spectral representation for continuous state branching processes. Zbl 0294.60067
Ogura, Yukio
1974
On invariant measures of critical multitype Galton-Watson processes. Zbl 0361.60064
Ogura, Yukio; Shiotani, Koshichi
1976
Branching one-dimensional periodic diffusion processes. Zbl 0557.60073
Ikeda, Nobuyuki; Kawazu, Kiyoshi; Ogura, Yukio
1985
Riemannian manifolds with stochastic independence conditions are rich enough. Zbl 0632.58039
Kôzaki, Masanori; Ogura, Yukio
1988
On a Choquet theorem for random upper semicontinuous functions. Zbl 1110.54011
Ogura, Yukio
2006
Strong solution of Itô type set-valued stochastic differential equation. Zbl 1202.60089
Li, Jun Gang; Li, Shou Mei; Ogura, Yukio
2010
Large and moderate deviations of random upper semicontinuous functions. Zbl 1206.60030
Ogura, Yukio; Li, Shoumei; Wang, Xia
2010
Large deviations for random upper semicontinuous functions. Zbl 1181.60039
Ogura, Yukio; Setokuchi, Takayoshi
2009
On some metrics compatible with the Fell-Matheron topology. Zbl 1146.54003
Ogura, Yukio
2007
Strong laws of large numbers for independent fuzzy set-valued random variables. Zbl 1104.60307
Li, Shoumei; Ogura, Yukio
2006
A note on random upper semicontinuous functions. Zbl 1110.54010
Nguyen, Hung T.; Ogura, Yukio; Tasena, Santi; Tran, Hien
2006
On a Choquet theorem for random upper semicontinuous functions. Zbl 1110.54011
Ogura, Yukio
2006
On limit theorems for random fuzzy sets including large deviation principles. Zbl 1060.60029
Ogura, Yukio; Li, Shoumei
2004
Markov or non-Markov property of $$cM-X$$ processes. Zbl 1061.60086
Matsumoto, Hiroyuki; Ogura, Yukio
2004
A convergence theorem of fuzzy-valued martingales in the extended Hausdorff metric $$\mathbf {H}_{\infty}$$. Zbl 1020.60036
Li, Shoumei; Ogura, Yukio
2003
Central limit theorems for generalized set-valued random variables. Zbl 1029.60022
Li, Shoumei; Ogura, Yukio; Proske, Frank N.; Puri, Madan L.
2003
Limit theorems and applications of set-valued and fuzzy set-valued random variables. Zbl 1348.60003
Li, Shoumei; Ogura, Yukio; Kreinovich, Vladik
2002
Convergence of local type Dirichlet forms to a non-local type one. Zbl 0997.60084
Ogura, Y.; Tomisaki, M.; Tsuchiya, M.
2002
Separability for graph convergence of sequences of fuzzy-valued random variables. Zbl 0994.60035
Ogura, Yukio; Li, Shoumei
2001
Set defuzzification and Choquet integral. Zbl 1113.03342
Ogura, Yukio; Li, Shoumei; Ralescu, Dan A.
2001
Gaussian processes and martingales for fuzzy valued random variables with continuous parameter. Zbl 0988.60025
Li, Shoumei; Ogura, Yukio; Nguyen, Hung T.
2001
Weak convergence of laws of stochastic processes on Riemannian manifolds. Zbl 0983.58017
Ogura, Yukio
2001
Existence of a strong solution for an integro-differential equation and superposition of diffusion processes. Zbl 0985.47037
Ogura, Yukio; Tomisaki, Matsuyo; Tsuchiya, Masaaki
2000
Convergence of set-valued and fuzzy-valued martingales. Zbl 0933.60041
Li, Shoumei; Ogura, Yukio
1999
Superposition of diffusion processes: Feller property. Zbl 1001.60082
Ogura, Yukio; Tomisaki, Matsuyo; Tsuchiya, Masaaki
1999
Convergence of set valued sub- and supermartingales in the Kuratowski-Mosco sense. Zbl 0938.60031
Li, Shoumei; Ogura, Yukio
1998
Convergence theorems for set valued and fuzzy valued martingales and smartingales. Zbl 0917.60046
Li, Shoumei; Ogura, Yukio
1998
Convergence of heat kernels on a compact manifold. Zbl 0914.58031
Kasue, Atsushi; Kumura, Hirnori; Ogura, Yukio
1997
Fuzzy random variables, conditional expectations and fuzzy valued martingales. Zbl 0879.60001
Li, Shoumei; Ogura, Yukio
1996
A probabilistic scheme for collapse of metrics. Zbl 1002.58521
Ogura, Yukio; Taniguchi, Setsuo
1996
Short time asymptotics and an approximation for the heat kernel of a singular diffusion. Zbl 0866.60066
Hashimoto, Yasuji; Manabe, Shojiro; Ogura, Yukio
1996
A degenerating sequence of Riemannian metrics on a manifold and their Brownian motions. Zbl 0742.58058
1990
Asymptotic behaviors of moments for one-dimensional generalized diffusion processes. Zbl 0709.60086
Ogura, Yukio; Tomisaki, Matsuyo
1990
One-dimensional bi-generalized diffusion processes. Zbl 0701.60078
Ogura, Yukio
1989
On the independence of exit time and exit position from small geodesic balls for Brownian motion on Riemannian manifolds. Zbl 0653.58041
Kôzaki, Masanori; Ogura, Yukio
1988
Riemannian manifolds with stochastic independence conditions are rich enough. Zbl 0632.58039
Kôzaki, Masanori; Ogura, Yukio
1988
Stationary solutions and their stability for Kimura’s diffusion model with intergroup selection. Zbl 0645.92013
Ogura, Yukio; Shimakura, Norio
1987
On geometric and stochastic mean values for small geodesic spheres in Riemannian manifolds. Zbl 0641.53045
Kôzaki, Masanori; Ogura, Yukio
1987
Stationary solutions and their stability for Kimura’s diffusion model with intergroup selection. II. Zbl 0645.92014
Ogura, Yukio; Shimakura, Norio
1987
Asymptotic behavior of elementary solutions of one-dimensional generalized diffusion equations. Zbl 0574.60083
Minami, Nariyuki; Ogura, Yukio; Tomisaki, Matsuyo
1985
Branching one-dimensional periodic diffusion processes. Zbl 0557.60073
Ikeda, Nobuyuki; Kawazu, Kiyoshi; Ogura, Yukio
1985
A limit theorem for branching one-dimensional periodic diffusion processes. Zbl 0539.60085
Kawazu, Kiyoshi; Ogura, Yukio
1984
A limit theorem for particle numbers in bounded domains of a branching diffusion process. Zbl 0494.60083
Ogura, Yukio
1983
On the solutions of linear elliptic equations in exterior domains. Zbl 0488.35029
Furusho, Yasuhiro; Ogura, Yukio
1983
On the strong comparison theorems for solutions of stochastic differential equations. Zbl 0468.60056
1981
Recurrence properties of Lotka-Volterra models with random fluctuations. Zbl 0449.92016
Kesten, H.; Ogura, Y.
1981
On the existence of bounded positive solutions of semilinear elliptic equations in exterior domains. Zbl 0478.35045
Furusho, Yasuhiro; Ogura, Yukio
1981
Recurrence properties of Lotka-Volterra models with random fluctuations. Zbl 0443.92012
Kesten, H.; Ogura, Y.
1981
On a limit theorem for branching one-dimensional diffusion processes. Zbl 0461.60091
Kageyama, Seiji; Ogura, Yukio
1980
On invariant measures of critical multitype Galton-Watson processes. Zbl 0361.60064
Ogura, Yukio; Shiotani, Koshichi
1976
Asymptotic behavior of multitype Galton-Watson processes. Zbl 0314.60060
Ogura, Yukio
1975
Spectral representation for continuous state branching processes. Zbl 0294.60067
Ogura, Yukio
1974
Spectral representation for branching processes on the real half line. Zbl 0236.60054
Ogura, Yukio
1970
Spectral representation for branching processes with immigration on the real half line. Zbl 0236.60053
Ogura, Yukio
1970
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Cited by 254 Authors

 22 Li, Shoumei 21 Ogura, Yukio 8 Terán, Pedro 7 Fei, Weiyin 6 Nguyen, Hung Trung 6 Tomisaki, Matsuyo 6 Vatutin, Vladimir Alekseevich 5 D’yakonova, Elena Evgen’evna 5 Guan, Li 5 Kasue, Atsushi 5 Malinowski, Marek T. 5 Zhang, Xicheng 4 Dubois, Didier 4 Labuschagne, Coenraad C. A. 4 Michta, Mariusz 4 Takemura, Tomoko 3 Bongiorno, Enea G. 3 Chalco-Cano, Yurilev 3 Fang, Shizan 3 Fu, Ke’ang 3 Furusho, Yasuhiro 3 Gil, María Angeles 3 Hening, Alexandru 3 Kumura, Hironori 3 Li, Jun-Gang 3 Ralescu, Dan A. 3 Román-Flores, Heriberto E. 3 Wang, Yangeng 3 Wei, Guo 3 Zhang, Jinping 2 Aiche, Farid 2 Aletti, Giacomo 2 Arefi, Mohsen 2 Bahlali, Khaled 2 Bai, Xiaoming 2 Chauvin, Brigitte 2 Chazal, Marie 2 Chen, Zhen-Qing 2 Colubi, Ana 2 Cooney, Daniel B. 2 Feng, Yuhu 2 Fontanari, José F. 2 Gard, Thomas C. 2 Gasiński, Leszek 2 Hesamian, Gholamreza 2 Iizuka, Masaru 2 Inoue, Hiroshi 2 Ito, H. M. 2 Jiang, Jifa 2 Kawazu, Kiyoshi 2 Kolesnikov, Alexander V. 2 Kôzaki, Masanori 2 Li, Xue-Mei 2 Liang, Zongxia 2 Loeffen, Ronnie L. 2 Marraffa, Valeria 2 Mitoma, Itaru 2 Nguyen, Pham Tri 2 Okazaki, Yoshiaki 2 Ouknine, Youssef 2 Papageorgiou, Nikolaos S. 2 Patie, Pierre 2 Pérez Garmendia, Jose Luis 2 Quang, Nguyen Van 2 Ren, Jiagang 2 Rouault, Alain 2 Serva, Maurizio 2 Shiozawa, Yuichi 2 Suzuki, Kohei 2 Taheri, Seyed Mahmood 2 Taheri, Seyed Mahmoud 2 Wang, Hongxia 2 Wu, Rangquan 2 Yamada, Toshio 2 Zhang, Li-Xin 2 Zhang, Tusheng S. 2 Zhang, Zhongzhan 2 Zubkov, Andreĭ Mikhaĭlovich 1 Abbas, Moncef 1 Abbas, Umber 1 Agliardi, Elettra 1 Agliardi, Rossella 1 Alonso de la Fuente, Miriam 1 Aman, Auguste 1 Arapostathis, Aristotle 1 Barlow, Martin T. 1 Bates, Jonathan 1 Beck, Jan B. 1 Beken, Donald E. 1 Beresteanu, Arie 1 Berestycki, Henri 1 Biswas, Anup 1 Bougerol, Philippe 1 Bücher, Axel 1 Caballero, María Emilia 1 Candeloro, Domenico 1 Cao, Guilan 1 Capasso, Vincenzo 1 Castaing, Charles 1 Chang, Chia-Wen ...and 154 more Authors
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Cited in 84 Serials

 34 Fuzzy Sets and Systems 11 Information Sciences 9 Journal of Mathematical Analysis and Applications 9 Stochastic Processes and their Applications 8 Stochastic Analysis and Applications 7 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 6 Journal of Mathematical Biology 6 Journal of Functional Analysis 6 Tohoku Mathematical Journal. Second Series 5 The Annals of Probability 5 Statistics & Probability Letters 5 Probability Theory and Related Fields 5 International Journal of Approximate Reasoning 4 Journal of Differential Equations 4 Potential Analysis 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Transactions of the American Mathematical Society 3 Discrete Mathematics and Applications 3 Computational Statistics and Data Analysis 3 Electronic Journal of Probability 3 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Statistical Physics 2 Mathematical Biosciences 2 Bulletin of Mathematical Biology 2 Czechoslovak Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Journal of Multivariate Analysis 2 Journal of Soviet Mathematics 2 Mathematische Nachrichten 2 Proceedings of the Japan Academy. Series A 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Bulletin des Sciences Mathématiques 2 Acta Mathematica Sinica. English Series 2 Stochastics and Dynamics 2 Fuzzy Optimization and Decision Making 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 International Journal of General Systems 1 Metrika 1 Rocky Mountain Journal of Mathematics 1 Stochastics 1 Annales de l’Institut Fourier 1 The Annals of Statistics 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Econometrics 1 Kybernetes 1 Kybernetika 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Theoretical Population Biology 1 Chinese Annals of Mathematics. Series B 1 Optimization 1 Asia-Pacific Journal of Operational Research 1 Mathematical and Computer Modelling 1 Sugaku Expositions 1 The Annals of Applied Probability 1 The Journal of Geometric Analysis 1 Communications in Statistics. Theory and Methods 1 European Journal of Operational Research 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastics and Stochastics Reports 1 Journal of Dynamics and Differential Equations 1 Applied and Computational Harmonic Analysis 1 Statistical Papers 1 Abstract and Applied Analysis 1 Soft Computing 1 Journal of Inequalities and Applications 1 Journal of Evolution Equations 1 Quantitative Finance 1 Journal of Systems Science and Complexity 1 Central European Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Stochastics 1 Proceedings of the Steklov Institute of Mathematics 1 SIAM Journal on Financial Mathematics 1 Advances in Fuzzy Systems 1 Set-Valued and Variational Analysis 1 International Journal of Stochastic Analysis 1 Open Mathematics
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Cited in 29 Fields

 161 Probability theory and stochastic processes (60-XX) 24 Measure and integration (28-XX) 18 Mathematical logic and foundations (03-XX) 18 Ordinary differential equations (34-XX) 18 Statistics (62-XX) 17 Partial differential equations (35-XX) 16 Global analysis, analysis on manifolds (58-XX) 16 Biology and other natural sciences (92-XX) 14 Real functions (26-XX) 10 Functional analysis (46-XX) 10 Differential geometry (53-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Systems theory; control (93-XX) 9 Computer science (68-XX) 8 Operator theory (47-XX) 7 Numerical analysis (65-XX) 6 General topology (54-XX) 6 Operations research, mathematical programming (90-XX) 5 Potential theory (31-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)