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## Higuchi, Yusuke

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 Author ID: higuchi.yusuke Published as: Higuchi, Yusuke; Higuchi, Y.
 Documents Indexed: 29 Publications since 1999
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#### Co-Authors

 4 single-authored 9 Segawa, Etsuo 8 Sato, Iwao 8 Shirai, Tomoyuki 6 Konno, Norio 3 Nomura, Yuji 2 Ogurisu, Osamu 1 Ando, Kazunori 1 Hayashi, Yusuke 1 Hunt, Giles W. 1 Matsumoto, Tomonori 1 Nakamoto, Atsuhiro 1 Ohwa, Takuya 1 Ota, Katsuhiro 1 Portugal, Renato 1 Sabri, Mohamed 1 Sakuma, Tadashi 1 Wadee, M. Khurram
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#### Serials

 3 Yokohama Mathematical Journal 2 Discrete Mathematics 2 Journal of Functional Analysis 2 Linear Algebra and its Applications 2 Interdisciplinary Information Sciences (IIS) 2 Journal of Math-for-Industry 1 International Journal of Solids and Structures 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Journal of Graph Theory 1 Kodai Mathematical Journal 1 Nagoya Mathematical Journal 1 European Journal of Combinatorics 1 Annals of Global Analysis and Geometry 1 Graphs and Combinatorics 1 Potential Analysis 1 RIMS Kokyuroku 1 Journal of Physics A: Mathematical and Theoretical 1 RIMS Kôkyûroku Bessatsu 1 Pacific Journal of Mathematics for Industry
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#### Fields

 15 Combinatorics (05-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Quantum theory (81-XX) 6 Operator theory (47-XX) 6 Probability theory and stochastic processes (60-XX) 4 Difference and functional equations (39-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 208 times in 133 Documents Cited by Year
Combinatorial curvature for planar graphs. Zbl 0996.05041
Higuchi, Yusuke
2001
Spectral structure of the Laplacian on a covering graph. Zbl 1247.05137
Higuchi, Yusuke; Nomura, Yuji
2009
Some spectral and geometric properties for infinite graphs. Zbl 1079.47035
Higuchi, Yusuke; Shirai, Tomoyuki
2004
Spectral and asymptotic properties of Grover walks on crystal lattices. Zbl 1302.82090
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2014
Isoperimetric constants of $$(d,f)$$-regular planar graphs. Zbl 1048.05030
Higuchi, Yusuke; Shirai, Tomoyuki
2003
Quantum graph walks. I: Mapping to quantum walks. Zbl 1312.81081
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2013
The spectrum of magnetic Schrödinger operators on a graph with periodic structure. Zbl 1073.47517
Higuchi, Yusuke; Shirai, Tomoyuki
1999
A note on the discrete-time evolutions of quantum walk on a graph. Zbl 1301.81066
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2013
Weak Bloch property for discrete magnetic Schrödinger operators. Zbl 0985.58011
Higuchi, Yusuke; Shirai, Tomoyuki
2001
A remark on exponential growth and the spectrum of the Laplacian. Zbl 0987.58016
Higuchi, Yusuke
2001
$$N$$-flips in even triangulations on the torus and Dehn twists preserving monodromies. Zbl 1235.57013
Higuchi, Yusuke; Nakamoto, Atsuhiro; Ota, Katsuhiro; Sakuma, Tadashi
2011
Quantum walks induced by Dirichlet random walks on infinite trees. Zbl 1390.81271
Higuchi, Yusuke; Segawa, Etsuo
2018
A remark on the spectrum of magnetic Laplacian on a graph. Zbl 0953.58028
Higuchi, Yusuke; Shirai, Tomoyuki
1999
A remark on zeta functions of finite graphs via quantum walks. Zbl 1326.81108
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2014
On the spectrum of a discrete Laplacian on $$\mathbb Z$$ with finitely supported potential. Zbl 1230.39002
Higuchi, Yusuke; Matsumoto, Tomonori; Ogurisu, Osamu
2011
Boundary area growth and the spectrum of discrete Laplacian. Zbl 1046.58012
Higuchi, Yusuke
2003
Quantum graph walks. II: Quantum walks on graph coverings. Zbl 1312.81082
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2013
On the spectrum of Schrödinger operators with a finitely supported potential on the $$d$$-regular tree. Zbl 1187.39002
Ando, Kazunori; Higuchi, Yusuke
2009
Galerkin approximations to static and dynamic localization problems. Zbl 0992.74079
Wadee, M. K.; Higuchi, Y.; Hunt, G. W.
2000
Eigenbasis of the evolution operator of 2-tessellable quantum walks. Zbl 1426.81038
Higuchi, Yusuke; Portugal, Renato; Sato, Iwao; Segawa, Etsuo
2019
On the number of discrete eigenvalues of a discrete Schrödinger operator with a finitely supported potential. Zbl 1375.39012
Hayashi, Yusuke; Higuchi, Yusuke; Nomura, Yuji; Ogurisu, Osamu
2016
Electric circuit induced by quantum walk. Zbl 1453.82074
Higuchi, Yusuke; Sabri, Mohamed; Segawa, Etsuo
2020
Electric circuit induced by quantum walk. Zbl 1453.82074
Higuchi, Yusuke; Sabri, Mohamed; Segawa, Etsuo
2020
Eigenbasis of the evolution operator of 2-tessellable quantum walks. Zbl 1426.81038
Higuchi, Yusuke; Portugal, Renato; Sato, Iwao; Segawa, Etsuo
2019
Quantum walks induced by Dirichlet random walks on infinite trees. Zbl 1390.81271
Higuchi, Yusuke; Segawa, Etsuo
2018
On the number of discrete eigenvalues of a discrete Schrödinger operator with a finitely supported potential. Zbl 1375.39012
Hayashi, Yusuke; Higuchi, Yusuke; Nomura, Yuji; Ogurisu, Osamu
2016
Spectral and asymptotic properties of Grover walks on crystal lattices. Zbl 1302.82090
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2014
A remark on zeta functions of finite graphs via quantum walks. Zbl 1326.81108
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2014
Quantum graph walks. I: Mapping to quantum walks. Zbl 1312.81081
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2013
A note on the discrete-time evolutions of quantum walk on a graph. Zbl 1301.81066
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2013
Quantum graph walks. II: Quantum walks on graph coverings. Zbl 1312.81082
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2013
$$N$$-flips in even triangulations on the torus and Dehn twists preserving monodromies. Zbl 1235.57013
Higuchi, Yusuke; Nakamoto, Atsuhiro; Ota, Katsuhiro; Sakuma, Tadashi
2011
On the spectrum of a discrete Laplacian on $$\mathbb Z$$ with finitely supported potential. Zbl 1230.39002
Higuchi, Yusuke; Matsumoto, Tomonori; Ogurisu, Osamu
2011
Spectral structure of the Laplacian on a covering graph. Zbl 1247.05137
Higuchi, Yusuke; Nomura, Yuji
2009
On the spectrum of Schrödinger operators with a finitely supported potential on the $$d$$-regular tree. Zbl 1187.39002
Ando, Kazunori; Higuchi, Yusuke
2009
Some spectral and geometric properties for infinite graphs. Zbl 1079.47035
Higuchi, Yusuke; Shirai, Tomoyuki
2004
Isoperimetric constants of $$(d,f)$$-regular planar graphs. Zbl 1048.05030
Higuchi, Yusuke; Shirai, Tomoyuki
2003
Boundary area growth and the spectrum of discrete Laplacian. Zbl 1046.58012
Higuchi, Yusuke
2003
Combinatorial curvature for planar graphs. Zbl 0996.05041
Higuchi, Yusuke
2001
Weak Bloch property for discrete magnetic Schrödinger operators. Zbl 0985.58011
Higuchi, Yusuke; Shirai, Tomoyuki
2001
A remark on exponential growth and the spectrum of the Laplacian. Zbl 0987.58016
Higuchi, Yusuke
2001
Galerkin approximations to static and dynamic localization problems. Zbl 0992.74079
Wadee, M. K.; Higuchi, Y.; Hunt, G. W.
2000
The spectrum of magnetic Schrödinger operators on a graph with periodic structure. Zbl 1073.47517
Higuchi, Yusuke; Shirai, Tomoyuki
1999
A remark on the spectrum of magnetic Laplacian on a graph. Zbl 0953.58028
Higuchi, Yusuke; Shirai, Tomoyuki
1999
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#### Cited by 172 Authors

 20 Segawa, Etsuo 13 Keller, Matthias 11 Konno, Norio 10 Higuchi, Yusuke 10 Korotyaev, Evgeny L. 10 Saburova, Natalia 10 Sato, Iwao 6 Suzuki, Akito 5 Hua, Bobo 5 Nakamoto, Atsuhiro 5 Ogurisu, Osamu 4 Golénia, Sylvain 4 Mari, Luciano 4 Matsue, Kaname 4 Matsumoto, Naoki 4 Peyerimhoff, Norbert 3 Nomura, Yuji 3 Oh, Byung-Geun 3 Platonova, Mariya V. 3 Portugal, Renato 3 Ryadovkin, K. S. 3 Yoshie, Yusuke 2 Ando, Kazunori 2 Angel, Omer 2 Asayama, Yoshihiro 2 Athmouni, Nassim 2 Bahls, Patrick 2 Bonciocat, Anca Iuliana 2 Bonnefont, Michel 2 Chen, Beifang 2 Ennaceur, Marwa 2 Fuda, Toru 2 Funakawa, Daiju 2 Güneysu, Batu 2 Hinz, Michael 2 Isozaki, Hiroshi 2 Kubota, Sho 2 Lenz, Daniel H. 2 Liu, Shiping 2 Mohar, Bojan 2 Morioka, Hisashi 2 Münch, Florentin 2 Parra, Daniel 2 Post, Olaf 2 Rigoli, Marco 2 Shirai, Tomoyuki 2 Su, Yanhui 2 Taniguchi, Tetsuji 2 Tate, Tatsuya 1 Adami, Riccardo 1 Adhikari, Bibhas 1 Akama, Yohji 1 Asch, Joachim 1 Baloudi, Hatem 1 Batista, Márcio 1 Bauer, Frank 1 Bianchini, Bruno 1 Bourget, Olivier 1 Cao, Jun 1 de Almeida Cavalcante, Marcos Petrúcio 1 Chang, Der-Chen E. 1 Chen, Guantao 1 Colombo, Giulio 1 Csóka, Endre 1 Dai, Wenjing 1 Damak, Mondher 1 de Brito Vieira, Franciane 1 De Luca, Lucia 1 den Hollander, Frank 1 Dever, John 1 DeVos, Matthew 1 Dipasquale, Michael R. 1 Dvořák, Zdeněk 1 Erhard, Dirk 1 Fabila-Carrasco, John Stewart 1 Fernandes, T. D. 1 Fetcu, Dorel 1 Fitzpatrick, Mattias 1 Friedman, Joel 1 Friesecke, Gero 1 Fukuda, Akiko 1 Fukuizumi, Reika 1 Gonçalves, Demerson N. 1 Grimmett, Geoffrey R. 1 Hamilton, Kathleen E. 1 Harangi, Viktor 1 Hayashi, Yusuke 1 Hino, Hideitsu 1 Hiroshima, Fumio 1 Hoory, Shlomo 1 Houck, Andrew A. 1 Hutchcroft, Tom 1 Ide, Yusuke 1 Ilias, Saïd 1 Jorge, Luquésio P. M. 1 Jost, Jürgen 1 Joye, Alain 1 Kawasaki, Yuki 1 Klein, Douglas J. 1 Knill, Oliver ...and 72 more Authors
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#### Cited in 62 Serials

 12 Linear Algebra and its Applications 11 Quantum Information Processing 8 Discrete Mathematics 5 Journal of Mathematical Analysis and Applications 5 Graphs and Combinatorics 4 Advances in Mathematics 4 Journal of Functional Analysis 4 Mathematische Annalen 4 Transactions of the American Mathematical Society 3 Reviews in Mathematical Physics 3 Proceedings of the American Mathematical Society 3 Discrete & Computational Geometry 3 Annales Henri Poincaré 3 Quantum Studies: Mathematics and Foundations 2 Journal of Mathematical Physics 2 Letters in Mathematical Physics 2 Integral Equations and Operator Theory 2 Mathematische Zeitschrift 2 Probability Theory and Related Fields 2 St. Petersburg Mathematical Journal 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Interdisciplinary Information Sciences (IIS) 2 Operators and Matrices 2 Pacific Journal of Mathematics for Industry 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Theory of Probability and its Applications 1 Annales de l’Institut Fourier 1 Geometriae Dedicata 1 Journal of Combinatorial Theory. Series B 1 Journal of Pure and Applied Algebra 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 European Journal of Combinatorics 1 Stochastic Analysis and Applications 1 SIAM Journal on Discrete Mathematics 1 Sugaku Expositions 1 Computational Geometry 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Nonlinear Science 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Documenta Mathematica 1 Doklady Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Central European Journal of Mathematics 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 European Journal of Pure and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Mathematical Physics 1 Annals of Functional Analysis 1 Axioms 1 Actes des Rencontres du C.I.R.M.
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#### Cited in 30 Fields

 81 Combinatorics (05-XX) 46 Quantum theory (81-XX) 36 Probability theory and stochastic processes (60-XX) 31 Operator theory (47-XX) 29 Partial differential equations (35-XX) 15 Difference and functional equations (39-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Differential geometry (53-XX) 13 Global analysis, analysis on manifolds (58-XX) 8 Convex and discrete geometry (52-XX) 7 Computer science (68-XX) 6 Ordinary differential equations (34-XX) 5 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Measure and integration (28-XX) 4 Potential theory (31-XX) 4 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 3 Group theory and generalizations (20-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geometry (51-XX) 2 Numerical analysis (65-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX)