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## Kusuoka, Seiichiro Kusuoka

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 Author ID: kusuoka.seiichiro-kusuoka Published as: Kusuoka, Seiichiro; Kusuoka, Seiichiro Kusuoka External Links: ORCID
 Documents Indexed: 19 Publications since 2010
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#### Co-Authors

 6 single-authored 3 Takahashi, Hiroshi 3 Tamura, Yozo 2 Tudor, Ciprian A. 1 Aida, Shigeki 1 Albeverio, Sergio A. 1 Hattori, Tetsuya 1 Hoshino, Masato 1 Inatsu, Masaru 1 Kawabi, Hiroshi 1 Kikuchi, Takanori 1 Kim, Daehong 1 Marinelli, Carlo 1 Nakano, Naoto 1 Saiki, Yoshitaka 1 Shigekawa, Ichiro
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#### Serials

 2 Stochastic Processes and their Applications 2 Journal of Evolution Equations 2 RIMS Kôkyûroku Bessatsu 2 Kyoto Journal of Mathematics 1 The Annals of Probability 1 Journal of Functional Analysis 1 Tohoku Mathematical Journal. Second Series 1 Japan Journal of Industrial and Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Potential Analysis 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Bernoulli 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Analysis & PDE
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#### Fields

 18 Probability theory and stochastic processes (60-XX) 5 Partial differential equations (35-XX) 2 Operator theory (47-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

14 Publications have been cited 60 times in 55 Documents Cited by Year
Stein’s method for invariant measures of diffusions via Malliavin calculus. Zbl 1242.60023
Kusuoka, Seiichiro; Tudor, Ciprian A.
2012
Hölder continuity and bounds for fundamental solutions to nondivergence form parabolic equations. Zbl 1316.35064
Kusuoka, Seiichiro
2015
Malliavin calculus for stochastic differential equations driven by subordinated Brownian motions. Zbl 1206.60052
Kusuoka, Seiichiro
2010
Characterization of the convergence in total variation and extension of the fourth moment theorem to invariant measures of diffusions. Zbl 1429.60007
Kusuoka, Seiichiro; Tudor, Ciprian A.
2018
Diffusion processes in thin tubes and their limits on graphs. Zbl 1267.60090
Albeverio, Sergio; Kusuoka, Seiichiro
2012
Existence of densities of solutions of stochastic differential equations by Malliavin calculus. Zbl 1198.60025
Kusuoka, Seiichiro
2010
On smoothing properties of transition semigroups associated to a class of SDEs with jumps. Zbl 1319.60127
Kusuoka, Seiichiro; Marinelli, Carlo
2014
Continuity and Gaussian two-sided bounds of the density functions of the solutions to path-dependent stochastic differential equations via perturbation. Zbl 1354.60059
Kusuoka, Seiichiro
2017
Hölder and Lipschitz continuity of the solutions to parabolic equations of the non-divergence type. Zbl 1387.35081
Kusuoka, Seiichiro
2017
Exponential convergence of Markovian semigroups and their spectra on $$L^p$$-spaces. Zbl 1306.60107
Kusuoka, Seiichiro; Shigekawa, Ichiro
2014
Recurrence and transience properties of multi-dimensional diffusion processes in selfsimilar and semi-selfsimilar random environments. Zbl 1357.60084
Kusuoka, Seiichiro; Takahashi, Hiroshi; Tamura, Yozo
2017
Topics on multi-dimensional Brox’s diffusions. Zbl 1369.60073
Kusuoka, Seiichiro; Takahashi, Hiroshi; Tamura, Yozo
2016
Recurrence of the Brownian motion in multidimensional semi-selfsimilar environments and Gaussian environments. Zbl 1334.60215
Kusuoka, Seiichiro; Takahashi, Hiroshi; Tamura, Yozo
2015
Stochastic ranking process with space-time dependent intensities. Zbl 1277.60176
Hattori, Tetsuya; Kusuoka, Seiichiro Kusuoka
2012
Characterization of the convergence in total variation and extension of the fourth moment theorem to invariant measures of diffusions. Zbl 1429.60007
Kusuoka, Seiichiro; Tudor, Ciprian A.
2018
Continuity and Gaussian two-sided bounds of the density functions of the solutions to path-dependent stochastic differential equations via perturbation. Zbl 1354.60059
Kusuoka, Seiichiro
2017
Hölder and Lipschitz continuity of the solutions to parabolic equations of the non-divergence type. Zbl 1387.35081
Kusuoka, Seiichiro
2017
Recurrence and transience properties of multi-dimensional diffusion processes in selfsimilar and semi-selfsimilar random environments. Zbl 1357.60084
Kusuoka, Seiichiro; Takahashi, Hiroshi; Tamura, Yozo
2017
Topics on multi-dimensional Brox’s diffusions. Zbl 1369.60073
Kusuoka, Seiichiro; Takahashi, Hiroshi; Tamura, Yozo
2016
Hölder continuity and bounds for fundamental solutions to nondivergence form parabolic equations. Zbl 1316.35064
Kusuoka, Seiichiro
2015
Recurrence of the Brownian motion in multidimensional semi-selfsimilar environments and Gaussian environments. Zbl 1334.60215
Kusuoka, Seiichiro; Takahashi, Hiroshi; Tamura, Yozo
2015
On smoothing properties of transition semigroups associated to a class of SDEs with jumps. Zbl 1319.60127
Kusuoka, Seiichiro; Marinelli, Carlo
2014
Exponential convergence of Markovian semigroups and their spectra on $$L^p$$-spaces. Zbl 1306.60107
Kusuoka, Seiichiro; Shigekawa, Ichiro
2014
Stein’s method for invariant measures of diffusions via Malliavin calculus. Zbl 1242.60023
Kusuoka, Seiichiro; Tudor, Ciprian A.
2012
Diffusion processes in thin tubes and their limits on graphs. Zbl 1267.60090
Albeverio, Sergio; Kusuoka, Seiichiro
2012
Stochastic ranking process with space-time dependent intensities. Zbl 1277.60176
Hattori, Tetsuya; Kusuoka, Seiichiro Kusuoka
2012
Malliavin calculus for stochastic differential equations driven by subordinated Brownian motions. Zbl 1206.60052
Kusuoka, Seiichiro
2010
Existence of densities of solutions of stochastic differential equations by Malliavin calculus. Zbl 1198.60025
Kusuoka, Seiichiro
2010
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#### Cited by 87 Authors

 6 Swan, Yvik C. 4 Kusuoka, Seiichiro Kusuoka 4 Parviainen, Mikko 3 Arroyo, Angel 3 Azmoodeh, Ehsan 3 Gaunt, Robert Edward 3 Kohatsu-Higa, Arturo 2 Albeverio, Sergio A. 2 Arras, Benjamin 2 Luiro, Hannes 2 Marinelli, Carlo 2 Mijoule, Guillaume 2 Peccati, Giovanni 2 Poly, Guillaume 2 Shao, Qi-Man 2 Sun, Xiaobin 2 Taguchi, Dai 2 Xie, Yingchao 2 Xu, Lihu 2 Yûki, Gô 1 Arapostathis, Aristotle 1 Baños, David R. 1 Bauer, Frank 1 Bourguin, Solesne 1 Campese, Simon 1 Carpio, Ana 1 Chen, Yong 1 Chen, Yong 1 Di Persio, Luca 1 Döbler, Christian 1 Duro, Gema 1 Eden, Richard 1 Eichelsbacher, Peter 1 Ernst, Marie 1 Fang, Xiao 1 Feres, Renato 1 Figari, Rodolfo 1 Gurvich, Itai 1 Hattori, Tetsuya 1 Hayashi, Masafumi 1 Heino, Joonas 1 Hua, Bobo 1 Huang, Junfei 1 Jørgensen, Palle E. T. 1 Keller, Matthias 1 Kim, Daehong 1 Knichel, Lukas 1 Kurasov, Pavel B. 1 Lejay, Antoine 1 Leonenko, Nikolai N. 1 Ley, Christophe 1 Liu, Yong 1 Liu, Yong 1 Mastrogiacomo, Elisa 1 Naganuma, Nobuaki 1 Ngo, Hoang-Long 1 Nilssen, Torstein K. 1 Nourdin, Ivan 1 Nualart, David 1 Pagliarani, Stefano 1 Pang, Guodong 1 Pascucci, Andrea 1 Privault, Nicolas 1 Reinert, Gesine D. 1 Romito, Marco 1 Ruosteenoja, Eero 1 Sandrić, Nikola 1 Scarpa, Luca 1 Smii, Boubaker 1 Song, Yulin 1 Suzuki, Kohei 1 Tahmasebi, Maryam 1 Tanaka, Akihiro 1 Taqqu, Murad S. 1 Tian, Feng 1 Tudor, Ciprian A. 1 Víquez, Juan José 1 Wallace, Mark T. 1 Wang, Jian 1 Xie, Longjie 1 Yablonskii, Gregory S. 1 Yam, Sheung Chi Phillip 1 Yasuda, Kazuhiro 1 Zhang, Xicheng 1 Zhang, Xicheng 1 Zhang, Zhuo-Song 1 Zhang, Zhuoran
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#### Cited in 36 Serials

 6 Statistics & Probability Letters 5 Stochastic Processes and their Applications 4 The Annals of Probability 3 Electronic Journal of Probability 2 The Annals of Applied Probability 2 Potential Analysis 2 Bernoulli 2 Brazilian Journal of Probability and Statistics 2 Frontiers of Mathematics in China 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Advances in Mathematics 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Mathematica Scandinavica 1 Operations Research 1 Tohoku Mathematical Journal. Second Series 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Probability Theory and Related Fields 1 Journal of Theoretical Probability 1 Applied Mathematical Modelling 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Finance and Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 Stochastics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Communications in Mathematics and Statistics
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#### Cited in 18 Fields

 48 Probability theory and stochastic processes (60-XX) 9 Partial differential equations (35-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Operator theory (47-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX)