Edit Profile (opens in new tab) Tate, Tatsuya Co-Author Distance Author ID: tate.tatsuya Published as: Tate, Tatsuya Documents Indexed: 25 Publications since 1998, including 1 Book and 1 Additional arXiv Preprint 2 Contributions as Editor Co-Authors: 14 Co-Authors with 11 Joint Publications 316 Co-Co-Authors all top 5 Co-Authors 16 single-authored 4 Zelditch, Steve 2 Naito, Hisashi 2 Shiffman, Bernard 1 Komatsu, Takashi 1 Kotani, Motoko 1 Luo, Xin 1 Maeda, Yoshiaki 1 Moriyoshi, Hitoshi 1 Omori, Hideki 1 Omori, Toshiaki 1 Sternheimer, Daniel 1 Stolz, Michael 1 Sunada, Toshikazu 1 Watamura, Satoshi all top 5 Serials 3 Journal of Functional Analysis 3 Asymptotic Analysis 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Annales de l’Institut Fourier 1 Journal of the Mathematical Society of Japan 1 Proceedings of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Linear Algebra and its Applications 1 The Electronic Journal of Combinatorics 1 The Journal of Fourier Analysis and Applications 1 RIMS Kokyuroku 1 Interdisciplinary Information Sciences (IIS) 1 Contemporary Mathematics 1 Mathematical Physics Studies 1 Tohoku Mathematical Publications 1 Annals of Functional Analysis all top 5 Fields 11 Quantum theory (81-XX) 9 Global analysis, analysis on manifolds (58-XX) 6 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 4 Convex and discrete geometry (52-XX) 4 Probability theory and stochastic processes (60-XX) 3 Algebraic geometry (14-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 16 Publications have been cited 72 times in 64 Documents Cited by ▼ Year ▼ Lattice path combinatorics and asymptotics of multiplicities of weights in tensor powers. Zbl 1062.22026 Tate, Tatsuya; Zelditch, Steve 17 2004 Asymptotic behavior of quantum walks on the line. Zbl 1241.82042 Sunada, Toshikazu; Tate, Tatsuya 16 2012 Distribution laws for integrable eigenfunctions. Zbl 1081.35063 Shiffman, Bernard; Tate, Tatsuya; Zelditch, Steve 9 2004 Harmonic analysis on toric varieties. Zbl 1041.32004 Shiffman, Bernard; Tate, Tatsuya; Zelditch, Steve 6 2003 A spectral analogue of the Meinardus theorem on asymptotics of the number of partitions. Zbl 1196.35240 Tate, Tatsuya 4 2010 Asymptotic Euler-Maclaurin formula over lattice polytopes. Zbl 1214.52004 Tate, Tatsuya 4 2011 Eigenvalues, absolute continuity and localizations for periodic unitary transition operators. Zbl 1423.35265 Tate, Tatsuya 3 2019 Asymptotics of matrix integrals and tensor invariants of compact Lie groups. Zbl 1156.22015 Stolz, Michael; Tate, Tatsuya 2 2008 Up and down Grover walks on simplicial complexes. Zbl 1384.05109 Luo, Xin; Tate, Tatsuya 2 2018 The Hamiltonians generating one-dimensional discrete-time quantum walks. Zbl 1303.60023 Tate, Tatsuya 2 2013 Eigenvalues of quantum walks of Grover and Fourier types. Zbl 1448.81243 Komatsu, Takashi; Tate, Tatsuya 2 2019 Quantum ergodicity at a finite energy level. Zbl 0948.37052 Tate, Tatsuya 1 1999 Bernstein measures on convex polytopes. Zbl 1184.41017 Tate, Tatsuya 1 2009 Weyl pseudo-differential operator and Wigner transform on the Poincaré disk. Zbl 1022.58011 Tate, Tatsuya 1 2002 An algebraic structure for one-dimensional quantum walks and a new proof of the weak limit theorem. Zbl 1273.60030 Tate, Tatsuya 1 2013 Eigenvalues of the Laplacian on the Goldberg-Coxeter constructions for 3- and 4-valent graphs. Zbl 1416.05177 Omori, Toshiaki; Naito, Hisashi; Tate, Tatsuya 1 2019 Eigenvalues, absolute continuity and localizations for periodic unitary transition operators. Zbl 1423.35265 Tate, Tatsuya 3 2019 Eigenvalues of quantum walks of Grover and Fourier types. Zbl 1448.81243 Komatsu, Takashi; Tate, Tatsuya 2 2019 Eigenvalues of the Laplacian on the Goldberg-Coxeter constructions for 3- and 4-valent graphs. Zbl 1416.05177 Omori, Toshiaki; Naito, Hisashi; Tate, Tatsuya 1 2019 Up and down Grover walks on simplicial complexes. Zbl 1384.05109 Luo, Xin; Tate, Tatsuya 2 2018 The Hamiltonians generating one-dimensional discrete-time quantum walks. Zbl 1303.60023 Tate, Tatsuya 2 2013 An algebraic structure for one-dimensional quantum walks and a new proof of the weak limit theorem. Zbl 1273.60030 Tate, Tatsuya 1 2013 Asymptotic behavior of quantum walks on the line. Zbl 1241.82042 Sunada, Toshikazu; Tate, Tatsuya 16 2012 Asymptotic Euler-Maclaurin formula over lattice polytopes. Zbl 1214.52004 Tate, Tatsuya 4 2011 A spectral analogue of the Meinardus theorem on asymptotics of the number of partitions. Zbl 1196.35240 Tate, Tatsuya 4 2010 Bernstein measures on convex polytopes. Zbl 1184.41017 Tate, Tatsuya 1 2009 Asymptotics of matrix integrals and tensor invariants of compact Lie groups. Zbl 1156.22015 Stolz, Michael; Tate, Tatsuya 2 2008 Lattice path combinatorics and asymptotics of multiplicities of weights in tensor powers. Zbl 1062.22026 Tate, Tatsuya; Zelditch, Steve 17 2004 Distribution laws for integrable eigenfunctions. Zbl 1081.35063 Shiffman, Bernard; Tate, Tatsuya; Zelditch, Steve 9 2004 Harmonic analysis on toric varieties. Zbl 1041.32004 Shiffman, Bernard; Tate, Tatsuya; Zelditch, Steve 6 2003 Weyl pseudo-differential operator and Wigner transform on the Poincaré disk. Zbl 1022.58011 Tate, Tatsuya 1 2002 Quantum ergodicity at a finite energy level. Zbl 0948.37052 Tate, Tatsuya 1 1999 all cited Publications top 5 cited Publications all top 5 Cited by 86 Authors 8 Tate, Tatsuya 7 Segawa, Etsuo 6 Zelditch, Steve 5 Postnova, Olga V. 4 Fillman, Jake 4 Konno, Norio 3 Maeda, Masaya 3 Nazarov, Anton A. 3 Paoletti, Roberto 2 Damanik, David 2 Guillemin, Victor W. 2 Komatsu, Takashi 2 Kousidis, Stavros 2 Matsue, Kaname 2 Nazaikinskii, Vladimir E. 2 Nikitin, Pavel P. 2 Ong, Darren C. 2 Reshetikhin, Nikolai Yu. 2 Sasaki, Hironobu 2 Shiffman, Bernard 2 Song, Jian 2 Suzuki, Akito 2 Suzuki, Kanako 2 Wang, Zuoqin 1 Adami, Riccardo 1 Adhikari, Bibhas 1 Ammari, Habib 1 Berline, Nicole 1 Bliem, Thomas 1 Botero, Alonso 1 Brandolini, Luca 1 Burns, Daniel M. jun. 1 Chizhikova, V. L. 1 Chow, Yat Tin 1 Christandl, Matthias 1 Colzani, Leonardo 1 Debernardi, Marco 1 El-Atik, Abdelfattah A. 1 Erickson, Jon 1 Feierl, Thomas 1 Feigin, Evgeny 1 Fukuizumi, Reika 1 Fulger, Mihai 1 Fulman, Jason E. 1 Gigante, Giacomo 1 Gramchev, Todor V. 1 Granovsky, Boris L. 1 Harris, Pamela E. 1 Higuchi, Yusuke 1 Hinkle, Gerhardt 1 Huckleberry, Alan Trinler 1 Insko, Erik 1 Kotani, Motoko 1 Kuyanov, F. 1 Le Floch, Yohann 1 Liu, Hongyu 1 Loi, Andrea 1 Mandal, Amrita 1 Maslov, Viktor Pavlovich 1 Melczer, Stephen 1 Molahajloo, Shahla 1 Monguzzi, Alessandro 1 Morioka, Hisashi 1 Naito, Hisashi 1 Obata, Nobuaki 1 Ogurisu, Osamu 1 Omar, Mohamed 1 Pelayo, Alvaro 1 Pinelis, Iosif Froimovich 1 Portugal, Renato 1 Sarma Sarkar, Rohit 1 Sato, Iwao 1 Schulte-Geers, Ernst 1 Scrimshaw, Travis 1 Sebert, H. 1 Slizkov, A. 1 Solovyev, D. P. 1 Stark, Dudley 1 Stolz, Michael 1 Tao, Chen 1 Vergne, Michèle 1 Vrana, Péter 1 Vu, Alan 1 Wilson, Mark Curtis 1 Zhang, Zhenghe 1 Zhou, Xin all top 5 Cited in 43 Serials 5 Communications in Mathematical Physics 4 Journal of Mathematical Sciences (New York) 3 Annales de l’Institut Fourier 3 Journal of Functional Analysis 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 The Journal of Fourier Analysis and Applications 2 Transformation Groups 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Quantum Information Processing 2 Journal of Physics A: Mathematical and Theoretical 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Tôhoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Physica D 1 Journal of Theoretical Probability 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 Sugaku Expositions 1 Random Structures & Algorithms 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 The Australasian Journal of Combinatorics 1 The Electronic Journal of Combinatorics 1 Journal of Lie Theory 1 Electronic Journal of Probability 1 Discrete and Continuous Dynamical Systems 1 Doklady Mathematics 1 Interdisciplinary Information Sciences (IIS) 1 Complex Analysis and Operator Theory 1 Annals of Functional Analysis 1 Afrika Matematika 1 Quantum Studies: Mathematics and Foundations 1 Constructive Mathematical Analysis all top 5 Cited in 31 Fields 23 Probability theory and stochastic processes (60-XX) 22 Quantum theory (81-XX) 15 Combinatorics (05-XX) 15 Statistical mechanics, structure of matter (82-XX) 10 Differential geometry (53-XX) 9 Nonassociative rings and algebras (17-XX) 8 Operator theory (47-XX) 7 Algebraic geometry (14-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Partial differential equations (35-XX) 6 Topological groups, Lie groups (22-XX) 6 Convex and discrete geometry (52-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-XX) 3 Group theory and generalizations (20-XX) 3 Ordinary differential equations (34-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 2 Computer science (68-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) Citations by Year