Edit Profile (opens in new tab) Komatsu, Takashi Co-Author Distance Author ID: komatsu.takashi Published as: Komatsu, Takashi; Komastu, Takashi; Komatsu, T. more...less Documents Indexed: 51 Publications since 1973, including 9 Additional arXiv Preprints Co-Authors: 22 Co-Authors with 36 Joint Publications 212 Co-Co-Authors all top 5 Co-Authors 15 single-authored 30 Konno, Norio 20 Sato, Iwao 3 Morioka, Hisashi 3 Segawa, Etsuo 3 Takeuchi, Atsushi 2 Endo, Takako 2 Kawai, Hikari 2 Takashima, Keizo 2 Tamura, Shunya 1 Asano, Masahiro 1 Endo, Shimpei 1 Hasegawa, Takehiro 1 Higuchi, Kenta 1 Ide, Yusuke 1 Kubota, Sho 1 Narimatsu, Akihiro 1 Saigo, Hayato 1 Saito, Seiken 1 Sato, Kohei 1 Sugiyama, Shingo 1 Tate, Tatsuya 1 Terada, Tomoyuki all top 5 Serials 8 Osaka Journal of Mathematics 6 Yokohama Mathematical Journal 3 Discrete Mathematics 3 Quantum Information Processing 2 Journal of Statistical Physics 2 The Electronic Journal of Combinatorics 2 Theory of Stochastic Processes 1 Linear and Multilinear Algebra 1 Reviews in Mathematical Physics 1 Journal of the Mathematical Society of Japan 1 Proceedings of the Japan Academy. Series A 1 Acta Applicandae Mathematicae 1 Linear Algebra and its Applications 1 Journal of Algebraic Combinatorics 1 The Journal of Fourier Analysis and Applications 1 Annals of Combinatorics 1 Annales Henri Poincaré 1 International Journal of Differential Equations and Applications all top 5 Fields 31 Probability theory and stochastic processes (60-XX) 16 Combinatorics (05-XX) 15 Number theory (11-XX) 15 Quantum theory (81-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 Operator theory (47-XX) 3 Partial differential equations (35-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 293 times in 217 Documents Cited by ▼ Year ▼ Markov processes associated with certain integro-differential operators. Zbl 0284.60066 Komatsu, Takashi 61 1973 On the martingale problem for generators of stable processes with perturbations. Zbl 0535.60063 Komatsu, Takashi 58 1984 Uniform estimates for fundamental solutions associated with nonlocal Dirichlet forms. Zbl 0867.35123 Komatsu, Takashi 31 1995 On the pathwise uniqueness of solutions of one-dimensional stochastic differential equations of jump type. Zbl 0511.60057 Komatsu, Takashi 24 1982 Pseudo-differential operators and Markov processes. Zbl 0539.60081 Komatsu, Takashi 22 1984 On the smoothness of PDF of solutions to SDE of jump type. Zbl 1045.60054 Komatsu, Takashi; Takeuchi, Atsushi 17 2001 Continuity estimates for solutions of parabolic equations associated with jump type Dirichlet forms. Zbl 0726.35055 Komatsu, Takashi 16 1988 On stable-like processes. Zbl 0977.47038 Komatsu, Takashi 9 1996 Stationary amplitudes of quantum walks on the higher-dimensional integer lattice. Zbl 1382.81057 Komatsu, Takashi; Konno, Norio 8 2017 Stationary measure for two-state space-inhomogeneous quantum walk in one dimension. Zbl 1419.60064 Kawai, Hikari; Komatsu, Takashi; Konno, Norio 8 2018 Generalized eigenfunctions for quantum walks via path counting approach. Zbl 1483.81134 Komatsu, Takashi; Konno, Norio; Morioka, Hisashi; Segawa, Etsuo 7 2021 Stationary measures of three-state quantum walks on the one-dimensional lattice. Zbl 1409.60072 Kawai, Hikari; Komatsu, Takashi; Konno, Norio 7 2017 Simplified probabilistic approach to the Hörmander theorem. Zbl 0995.60055 Komatsu, Takashi; Takeuchi, Atsushi 4 2001 Grover/zeta correspondence based on the Konno-Sato theorem. Zbl 1508.05085 Komatsu, Takashi; Konno, Norio; Sato, Iwao 4 2021 Vertex-face/zeta correspondence. Zbl 1501.81003 Komatsu, Takashi; Konno, Norio; Sato, Iwao 3 2022 Markov processes associated with pseudo-differential operators. Zbl 0517.60066 Komatsu, Takashi 2 1983 Walk/zeta correspondence. Zbl 1506.60046 Komatsu, Takashi; Konno, Norio; Sato, Iwao 2 2023 Eigenvalues of quantum walks of Grover and Fourier types. Zbl 1448.81243 Komatsu, Takashi; Tate, Tatsuya 2 2019 On the martingale problem for pseudo-differential operators of variable order. Zbl 1224.60164 Komatsu, Takashi 1 2008 Generalized Hörmander theorem for non-local operators. Zbl 1082.60045 Komatsu, T.; Takeuchi, Atsushi 1 2004 Limiting distributions of quantum walks on the square lattice. Zbl 1336.60045 Komatsu, Takashi 1 2015 A characteristic polynomial for the transition probability matrix of correlated random walks on a graph. Zbl 1478.05140 Komatsu, Takashi; Konno, Norio; Sato, Iwao 1 2021 The Fourier and Grover walks on the two-dimensional lattice and torus. Zbl 1451.81306 Asano, Masahiro; Komatsu, Takashi; Konno, Norio; Narimatsu, Akihiro 1 2019 Zeta functions with respect to general coined quantum walk of periodic graphs. Zbl 1469.11356 Komatsu, Takashi; Konno, Norio; Sato, Iwao 1 2020 A zeta function with respect to non-backtracking alternating walks for a digraph. Zbl 1462.05231 Komatsu, Takashi; Konno, Norio; Sato, Iwao 1 2021 A note on the Grover walk and the generalized Ihara zeta function of the one-dimensional integer lattice. Zbl 1503.60028 Komatsu, Takashi; Konno, Norio; Sato, Iwao 1 2021 Walk/zeta correspondence. Zbl 1506.60046 Komatsu, Takashi; Konno, Norio; Sato, Iwao 2 2023 Vertex-face/zeta correspondence. Zbl 1501.81003 Komatsu, Takashi; Konno, Norio; Sato, Iwao 3 2022 Generalized eigenfunctions for quantum walks via path counting approach. Zbl 1483.81134 Komatsu, Takashi; Konno, Norio; Morioka, Hisashi; Segawa, Etsuo 7 2021 Grover/zeta correspondence based on the Konno-Sato theorem. Zbl 1508.05085 Komatsu, Takashi; Konno, Norio; Sato, Iwao 4 2021 A characteristic polynomial for the transition probability matrix of correlated random walks on a graph. Zbl 1478.05140 Komatsu, Takashi; Konno, Norio; Sato, Iwao 1 2021 A zeta function with respect to non-backtracking alternating walks for a digraph. Zbl 1462.05231 Komatsu, Takashi; Konno, Norio; Sato, Iwao 1 2021 A note on the Grover walk and the generalized Ihara zeta function of the one-dimensional integer lattice. Zbl 1503.60028 Komatsu, Takashi; Konno, Norio; Sato, Iwao 1 2021 Zeta functions with respect to general coined quantum walk of periodic graphs. Zbl 1469.11356 Komatsu, Takashi; Konno, Norio; Sato, Iwao 1 2020 Eigenvalues of quantum walks of Grover and Fourier types. Zbl 1448.81243 Komatsu, Takashi; Tate, Tatsuya 2 2019 The Fourier and Grover walks on the two-dimensional lattice and torus. Zbl 1451.81306 Asano, Masahiro; Komatsu, Takashi; Konno, Norio; Narimatsu, Akihiro 1 2019 Stationary measure for two-state space-inhomogeneous quantum walk in one dimension. Zbl 1419.60064 Kawai, Hikari; Komatsu, Takashi; Konno, Norio 8 2018 Stationary amplitudes of quantum walks on the higher-dimensional integer lattice. Zbl 1382.81057 Komatsu, Takashi; Konno, Norio 8 2017 Stationary measures of three-state quantum walks on the one-dimensional lattice. Zbl 1409.60072 Kawai, Hikari; Komatsu, Takashi; Konno, Norio 7 2017 Limiting distributions of quantum walks on the square lattice. Zbl 1336.60045 Komatsu, Takashi 1 2015 On the martingale problem for pseudo-differential operators of variable order. Zbl 1224.60164 Komatsu, Takashi 1 2008 Generalized Hörmander theorem for non-local operators. Zbl 1082.60045 Komatsu, T.; Takeuchi, Atsushi 1 2004 On the smoothness of PDF of solutions to SDE of jump type. Zbl 1045.60054 Komatsu, Takashi; Takeuchi, Atsushi 17 2001 Simplified probabilistic approach to the Hörmander theorem. Zbl 0995.60055 Komatsu, Takashi; Takeuchi, Atsushi 4 2001 On stable-like processes. Zbl 0977.47038 Komatsu, Takashi 9 1996 Uniform estimates for fundamental solutions associated with nonlocal Dirichlet forms. Zbl 0867.35123 Komatsu, Takashi 31 1995 Continuity estimates for solutions of parabolic equations associated with jump type Dirichlet forms. Zbl 0726.35055 Komatsu, Takashi 16 1988 On the martingale problem for generators of stable processes with perturbations. Zbl 0535.60063 Komatsu, Takashi 58 1984 Pseudo-differential operators and Markov processes. Zbl 0539.60081 Komatsu, Takashi 22 1984 Markov processes associated with pseudo-differential operators. Zbl 0517.60066 Komatsu, Takashi 2 1983 On the pathwise uniqueness of solutions of one-dimensional stochastic differential equations of jump type. Zbl 0511.60057 Komatsu, Takashi 24 1982 Markov processes associated with certain integro-differential operators. Zbl 0284.60066 Komatsu, Takashi 61 1973 all cited Publications top 5 cited Publications all top 5 Cited by 246 Authors 13 Mikulevicius, Remigijus 12 Konno, Norio 10 Kaßmann, Moritz 10 Komatsu, Takashi 10 Liu, Junfeng 9 Chen, Zhen-Qing 8 Bass, Richard F. 7 Pragarauskas, Henrikas 7 Sato, Iwao 7 Segawa, Etsuo 6 Kulik, Alexey M. 5 Anh, Vo V. 5 Dong, Hongjie 5 Morkvenas, R. O. 5 Taira, Kazuaki 5 Takeuchi, Atsushi 5 Wang, Jian 4 Kiumi, Chusei 4 Sun, Xichao 4 Tsukada, Hiroshi 4 Wu, Jianglun 4 Yan, Litan 4 Zhang, Xicheng 3 Debbi, Latifa 3 Jacob, Niels 3 Knopova, Victoria Pavlovna 3 Liu, Fawang 3 Mellouk, Mohamed 3 Menozzi, Stéphane 3 Morioka, Hisashi 3 Priola, Enrico 3 Ruiz-Medina, María Dolores 3 Uemura, Toshihiro 3 Woyczynski, Wojbor A. 3 Zhang, Hong 2 Angulo, José Miguel 2 Arapostathis, Aristotle 2 Biler, Piotr 2 Biswas, Anup 2 Caffarelli, Luis Ángel 2 Cang, Yuquan 2 Chen, Xiaoshan 2 de Pablo, Arturo 2 Fournier, Nicolas 2 Garroni, Maria Giovanna 2 Hayashi, Nakao 2 Husseini, Ryad 2 Imbert, Cyril 2 Kaikina, Elena Igorevna 2 Kim, Doyoon 2 Kim, Panki 2 Kohatsu-Higa, Arturo 2 Kumagai, Takashi 2 Kunita, Hiroshi 2 Lepeltier, Jean-Pierre 2 Li, Libo 2 Li, Ming 2 Li, Yumeng 2 Luo, Dejun 2 Marchal, Bernard 2 Matsue, Kaname 2 Menaldi, Jose-Luis 2 Mytnik, Leonid 2 Naumkin, Pavel Ivanovich 2 Nualart, David 2 Saito, Kei 2 Schilling, René Leander 2 Silvestre, Luis E. 2 Song, Renming 2 Surgailis, Donatas 2 Taguchi, Dai 2 Tate, Tatsuya 2 Tran, Ky Quan 2 Tudor, Ciprian A. 2 Turner, Ian William 2 Xi, Fubao 2 Yin, George Gang 2 Zanzotto, Pio Andrea 2 Zhang, Changyong 2 Zhu, Chao 1 Abels, Helmut 1 Adhikari, Bibhas 1 Alonso Rodríguez, Ana 1 Anahara, Yoshihiro 1 Anulova, Svetlana 1 Applebaum, David B. 1 Arrigo, Francesca 1 Assaad, Obayda 1 Astrauskas, Arvydas 1 Athreya, Siva R. 1 Ayache, Antoine 1 Azérad, Pascal 1 Bally, Vlad 1 Bennett, Jonathan 1 Berestycki, Julien 1 Boulanba, Lahcen 1 Brändle, Cristina 1 Burdzy, Krzysztof 1 Caramellino, Lucia 1 Cass, Thomas Richard ...and 146 more Authors all top 5 Cited in 104 Serials 19 Stochastic Processes and their Applications 14 Lithuanian Mathematical Journal 7 Potential Analysis 6 Quantum Information Processing 5 Journal of Differential Equations 5 Osaka Journal of Mathematics 5 Transactions of the American Mathematical Society 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Calculus of Variations and Partial Differential Equations 5 Stochastics and Dynamics 5 Stochastics 4 Journal of Statistical Physics 4 Stochastic Analysis and Applications 4 Journal of Theoretical Probability 3 Journal of Mathematical Analysis and Applications 3 Journal of Functional Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Physics A: Mathematical and Theoretical 2 Discrete Mathematics 2 Reviews in Mathematical Physics 2 Theory of Probability and its Applications 2 Applied Mathematics and Computation 2 Mathematische Zeitschrift 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Probability Theory and Related Fields 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Linear Algebra and its Applications 2 Theory of Probability and Mathematical Statistics 2 Electronic Journal of Probability 2 Bernoulli 2 Acta Mathematica Sinica. English Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Frontiers of Mathematics in China 2 Analysis & PDE 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 EMS Surveys in Mathematical Sciences 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 Dissertationes Mathematicae 1 Journal of Econometrics 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematics of Operations Research 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Tôhoku Mathematical Journal. Second Series 1 Acta Mathematicae Applicatae Sinica 1 Statistics & Probability Letters 1 Probability and Mathematical Statistics 1 Acta Applicandae Mathematicae 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Applied Mathematics and Stochastic Analysis 1 Japan Journal of Industrial and Applied Mathematics 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Complexity 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Mathematical Finance 1 Abstract and Applied Analysis 1 Positivity 1 Fractional Calculus & Applied Analysis 1 Matematicheskie Trudy 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Differential Equations 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 International Journal of Quantum Information 1 Advances in Difference Equations 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 International Journal of Stochastic Analysis 1 Journal of Pseudo-Differential Operators and Applications 1 Annals of Functional Analysis 1 Sankhyā. Series A 1 Bulletin of Mathematical Sciences 1 Communications in Mathematics and Statistics ...and 4 more Serials all top 5 Cited in 34 Fields 165 Probability theory and stochastic processes (60-XX) 77 Partial differential equations (35-XX) 45 Operator theory (47-XX) 23 Quantum theory (81-XX) 15 Integral equations (45-XX) 10 Potential theory (31-XX) 9 Combinatorics (05-XX) 8 Functional analysis (46-XX) 8 Numerical analysis (65-XX) 8 Systems theory; control (93-XX) 7 Real functions (26-XX) 6 Number theory (11-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 3 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 3 Fluid mechanics (76-XX) 2 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Citations by Year