Edit Profile (opens in new tab) Konno, Norio Co-Author Distance Author ID: konno.norio Published as: Konno, Norio; Konno, N. Homepage: http://er-web.jmk.ynu.ac.jp/html/KONNO_Norio/en.html External Links: ORCID · Wikidata · dblp · IdRef Documents Indexed: 177 Publications since 1986, including 1 Book and 35 Additional arXiv Preprints Co-Authors: 112 Co-Authors with 149 Joint Publications 1,660 Co-Co-Authors all top 5 Co-Authors 27 single-authored 46 Sato, Iwao 45 Segawa, Etsuo 30 Komatsu, Takashi 20 Ide, Yusuke 11 Endo, Takako 9 Katori, Makoto 9 Mitsuhashi, Hideo 7 Higuchi, Yusuke 7 Machida, Takuya 7 Masuda, Naoki 5 Takei, Masato 5 Tamura, Shunya 4 Chisaki, Kota 4 Morioka, Hisashi 4 Soshi, Takahiro 4 Tanemura, Hideki 4 Yoo, Hyun Jae 3 Aihara, Kazuyuki 3 Endo, Shimpei 3 Gunji, Yukio-Pegio 3 Kawai, Hikari 3 Obata, Nobuaki 3 Sato, Kazunori 3 Shikano, Yutaka 3 Sudbury, Aidan 3 Xu, Xinping 2 Akahori, Jirô 2 Belitsky, Vladimir 2 Hamada, Masatoshi 2 Ho, Choon-Lin 2 Kiumi, Chusei 2 Ko, Chul Ki 2 Koyama, Shohei 2 Matsue, Kaname 2 Morita, Hideaki 2 Namiki, Takao 2 Obuse, Hideaki 2 Saigo, Hayato 2 Štefaňák, Martin 2 Sugimine, Nobuaki 2 Takahashi, Sarato 2 Terada, Tomoyuki 2 Tretyakov, Alex Yu. 1 Ahouse, Jeremy John 1 Anahara, Yoshihiro 1 Arai, Toshiyuki 1 Asano, Masahiro 1 Bruderer, Erhard 1 Busch, Thomas 1 Chandrashekar, C. M. 1 Doi, Yoshiaki 1 Ferrari, Pablo Augusto 1 Fujihara, Akihiro 1 Fujino, Soichi 1 Gelover-Santiago, Angelica 1 Hancock, Edwin Robert 1 Hasegawa, Takehiro 1 Hayashi, Yukio 1 Higuchi, Kenta 1 Higuchi, Yasunari 1 Hosaka, Taisuke 1 Inui, Norio 1 Ishikawa, Ayaka 1 Kobayashi, Naoki 1 Komaki, Takayuki 1 Konishi, Yoshinao 1 Kubota, Sho 1 Kunimatsu, Toshihiko 1 Latora, Vito 1 Lazer, David 1 Liggett, Thomas Milton 1 Łuczak, Tomasz 1 Ma, Xia 1 Matsuoka, Leo 1 Matsutani, Shigeki 1 Mistuda, K. 1 Miwa, Hiroyoshi 1 Miyazaki, Takahiro 1 Młotkowski, Wojciech 1 Nakamigawa, Tomoki 1 Nakayama, Daichi 1 Narimatsu, Akihiro 1 Nicosia, Vincenzo 1 Ohtsuka, Kazumichi 1 Okamoto, Rikuki 1 Oshima, Yuki 1 Portugal, Renato 1 Roy, Rahul K. 1 Saito, Seiken 1 Sako, Hiroki 1 Sakuma, Tadashi 1 Sakumura, Yuichi 1 Sarkar, Anish 1 Sato, Kohei 1 Schinazi, Rinaldo B. 1 Severini, Simone 1 Shimizu, Yuki 1 Shinohara, Hidehiro 1 Shinohara, Shuji 1 Sugiyama, Shingo ...and 12 more Co-Authors all top 5 Serials 22 Yokohama Mathematical Journal 17 Quantum Information Processing 12 Journal of Statistical Physics 9 Interdisciplinary Information Sciences (IIS) 7 Quantum Information & Computation 6 Applied Mathematics and Computation 5 Linear Algebra and its Applications 4 Discrete Mathematics 4 Journal of Physics A: Mathematical and General 3 The Electronic Journal of Combinatorics 3 International Journal of Quantum Information 2 Linear and Multilinear Algebra 2 Physics Letters. A 2 Journal of Theoretical Probability 2 MSCS. Mathematical Structures in Computer Science 2 Annals of Physics 2 Journal of Algebraic Combinatorics 2 Journal of the Physical Society of Japan 2 Journal of Physics A: Mathematical and Theoretical 2 Quantum Studies: Mathematics and Foundations 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Mathematical Biosciences 1 Reviews in Mathematical Physics 1 The Annals of Probability 1 Hiroshima Mathematical Journal 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Graphs and Combinatorics 1 Probability Theory and Related Fields 1 Sugaku Expositions 1 Stochastic Processes and their Applications 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Markov Processes and Related Fields 1 Annals of Combinatorics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Methodology and Computing in Applied Probability 1 Annales Henri Poincaré 1 Stochastic Models 1 Internet Mathematics 1 Analysis and Applications (Singapore) 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Math-for-Industry 1 Journal of Theoretical Biology 1 Pacific Journal of Mathematics for Industry all top 5 Fields 81 Probability theory and stochastic processes (60-XX) 77 Quantum theory (81-XX) 61 Statistical mechanics, structure of matter (82-XX) 46 Combinatorics (05-XX) 28 Number theory (11-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 11 Computer science (68-XX) 10 Biology and other natural sciences (92-XX) 4 Operator theory (47-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Information and communication theory, circuits (94-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 104 Publications have been cited 1,071 times in 502 Documents Cited by ▼ Year ▼ Stochastic partial differential equations for some measure-valued diffusions. Zbl 0631.60058 Konno, Norio; Shiga, T. 105 1988 Quantum random walks in one dimension. Zbl 1329.82012 Konno, Norio 94 2002 Quantum walks. Zbl 1329.82011 Konno, Norio 94 2008 A new type of limit theorems for the one-dimensional quantum random walk. Zbl 1173.81318 Konno, Norio 71 2005 Spectral and asymptotic properties of Grover walks on crystal lattices. Zbl 1302.82090 Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo 41 2014 Localization of an inhomogeneous discrete-time quantum walk on the line. Zbl 1196.82087 Konno, Norio 33 2010 One-dimensional discrete-time quantum walks on random environments. Zbl 1176.81054 Konno, Norio 30 2009 Limit measures of inhomogeneous discrete-time quantum walks in one dimension. Zbl 1310.81104 Konno, Norio; Łuczak, Tomasz; Segawa, Etsuo 30 2013 Limit theorems for open quantum random walks. Zbl 1259.82093 Konno, Norio; Yoo, Hyun Jae 25 2013 On the relation between quantum walks and zeta functions. Zbl 1241.81045 Konno, Norio; Sato, Iwao 24 2012 Continuous-time quantum walks on trees in quantum probability theory. Zbl 1097.60087 Konno, Norio 19 2006 Quantum graph walks. I: Mapping to quantum walks. Zbl 1312.81081 Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo 19 2013 Localization of discrete-time quantum walks on a half line via the CGMV method. Zbl 1238.81073 Konno, Norio; Segawa, Etsuo 18 2011 The stationary measure of a space-inhomogeneous quantum walk on the line. Zbl 1333.60012 Endo, Takako; Konno, Norio 16 2014 Absorption problems for quantum walks in one dimension. Zbl 1066.82031 Konno, Norio; Namiki, Takao; Soshi, Takahiro; Sudbury, Aidan 15 2003 Multi-state epidemic processes on complex networks. Zbl 1447.92453 Masuda, Naoki; Konno, Norio 15 2006 Limit theorems for quantum walks driven by many coins. Zbl 1165.81318 Segawa, Etsuo; Konno, Norio 14 2008 Periodicity of the discrete-time quantum walk on a finite graph. Zbl 1470.81043 Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo 14 2017 Limit theorems and absorption problems for one-dimensional correlated random walks. Zbl 1161.60309 Konno, Norio 13 2009 Limit theorems for discrete-time quantum walks on trees. Zbl 1186.60103 Chisaki, Kota; Hamada, Masatoshi; Konno, Norio; Segawa, Etsuo 12 2009 Limit theorems for quantum walks with memory. Zbl 1266.81124 Konno, Norio; Machida, Takuya 12 2010 Partition-based discrete-time quantum walks. Zbl 1395.81086 Konno, Norio; Portugal, Renato; Sato, Iwao; Segawa, Etsuo 12 2018 The uniform measure for discrete-time quantum walks in one dimension. Zbl 1291.81205 Konno, Norio 12 2014 A note on the discrete-time evolutions of quantum walk on a graph. Zbl 1301.81066 Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo 11 2013 A one-dimensional Hadamard walk with one defect. Zbl 1318.60052 Endo, Takako; Konno, Norio; Segawa, Etsuo; Takei, Masato 11 2014 Localization of the Grover walks on spidernets and free Meixner laws. Zbl 1275.81058 Konno, Norio; Obata, Nobuaki; Segawa, Etsuo 11 2013 Continuous-time quantum walks on ultrametric spaces. Zbl 1107.81015 Konno, Norio 10 2006 Sensitivity of quantum walks to a boundary of two-dimensional lattices: approaches based on the CGMV method and topological phases. Zbl 1386.82022 Endo, Takako; Konno, Norio; Obuse, Hideaki; Segawa, Etsuo 10 2017 Limit theorems and absorption problems for quantum random walks in one dimension. Zbl 1152.81758 Konno, N. 10 2002 Weak limit theorem of a two-phase quantum walk with one defect. Zbl 1453.62406 Endo, Shimpei; Endo, Takako; Konno, Norio; Segawa, Etsuo; Takei, Masato 10 2016 Phase transitions of interacting particle systems. Zbl 0847.60088 Konno, Norio 9 1994 Crossovers induced by discrete-time quantum walks. Zbl 1238.81153 Chisaki, Kota; Konno, Norio; Segawa, Etsuo; Shikano, Yutaka 9 2011 Artificial life with autonomously emerging boundaries. Zbl 0797.92004 Gunji, Yukio; Konno, Norio 9 1991 Stationary amplitudes of quantum walks on the higher-dimensional integer lattice. Zbl 1382.81057 Komatsu, Takashi; Konno, Norio 8 2017 Parity law for population dynamics of \(N\)-species with cyclic advantage competitions. Zbl 1017.92026 Sato, Kazunori; Yoshida, Naoto; Konno, Norio 8 2002 Limit theorems for the nonattractive Domany-Kinzel model. Zbl 1018.60095 Katori, Makoto; Konno, Norio; Tanemura, Hideki 8 2002 The discrete-time quaternionic quantum walk on a graph. Zbl 1333.81210 Konno, Norio; Mitsuhashi, Hideo; Sato, Iwao 8 2016 Stationary measure for two-state space-inhomogeneous quantum walk in one dimension. Zbl 1419.60064 Kawai, Hikari; Komatsu, Takashi; Konno, Norio 8 2018 Symmetry of distribution for the one-dimensional Hadamard walk. Zbl 1052.60079 Konno, Norio; Namiki, Takao; Soshi, Takahiro 7 2004 Quaternionic quantum walks. Zbl 1317.81184 Konno, Norio 7 2015 Generalized eigenfunctions for quantum walks via path counting approach. Zbl 1483.81134 Komatsu, Takashi; Konno, Norio; Morioka, Hisashi; Segawa, Etsuo 7 2021 Relation between two-phase quantum walks and the topological invariant. Zbl 1477.60013 Endo, Takako; Konno, Norio; Obuse, Hideaki 7 2020 Stationary measures of three-state quantum walks on the one-dimensional lattice. Zbl 1409.60072 Kawai, Hikari; Komatsu, Takashi; Konno, Norio 7 2017 Periodicity for the Hadamard walk on cycles. Zbl 1468.81030 Konno, Norio; Shimizu, Yuki; Takei, Masato 7 2017 Time averaged distribution of a discrete-time quantum walk on the path. Zbl 1252.82085 Ide, Yusuke; Konno, Norio; Segawa, Etsuo 7 2012 Limit theorems for the discrete-time quantum walk on a graph with joined half lines. Zbl 1256.81019 Chisaki, Kota; Konno, Norio; Segawa, Etsuo 6 2012 Fluctuations of quantum random walks on circles. Zbl 1077.81021 Inui, Norio; Konishi, Yoshinao; Konno, Norio; Soshi, Takahiro 6 2005 A remark on zeta functions of finite graphs via quantum walks. Zbl 1326.81108 Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo 6 2014 Entanglement for discrete-time quantum walks on the line. Zbl 1238.81028 Ide, Yusuke; Konno, Norio; Machida, Takuya 5 2011 Orthogonal polynomials induced by discrete-time quantum walks in one dimension. Zbl 1196.60164 Hamada, Masatoshi; Konno, Norio; Młotkowski, Wojciech 5 2009 Weak convergence of the Wojcik model. Zbl 1336.60041 Endo, Takako; Konno, Norio 5 2015 Dualities for a class of finite range probabilistic cellular automata in one dimension. Zbl 1174.82317 Konno, Norio 4 2002 Mathematical construction of an autonomous artificial life. Zbl 0785.92003 Konno, Norio; Gunji, Yukio 4 1991 Sojourn times of the Hadamard walk in one dimension. Zbl 1239.81053 Konno, Norio 4 2012 Phase measurement of quantum walks: application to structure theorem of the positive support of the Grover walk. Zbl 1414.81145 Konno, Norio; Sato, Iwao; Segawa, Etsuo 4 2019 A new weighted Ihara zeta function for a graph. Zbl 1411.05169 Konno, Norio; Mitsuhashi, Hideo; Morita, Hideaki; Sato, Iwao 4 2019 Central limit theorems for open quantum random walks on the crystal lattices. Zbl 1421.82015 Ko, Chul Ki; Konno, Norio; Segawa, Etsuo; Yoo, Hyun Jae 4 2019 Quantum walks and elliptic integrals. Zbl 1205.82082 Konno, Norio 4 2010 Grover/zeta correspondence based on the Konno-Sato theorem. Zbl 1508.05085 Komatsu, Takashi; Konno, Norio; Sato, Iwao 4 2021 Quantum walks and reversible cellular automata. Zbl 1209.82031 Konno, N.; Mistuda, K.; Soshi, T.; Yoo, H. J. 3 2004 Asymptotic behavior of basic contact process with rapid stirring. Zbl 0928.60090 Konno, Norio 3 1995 Rigorous results on the threshold network model. Zbl 1078.90015 Konno, Norio; Masuda, Naoki; Roy, Rahul; Sarkar, Anish 3 2005 Self-duality for multi-state probabilistic cellular automata with finite range interactions. Zbl 1174.82318 Konno, Norio 3 2002 Dualities for the Domany-Kinzel model. Zbl 1046.60063 Katori, Makoto; Konno, Norio; Sudbury, Aidan; Tanemura, Hideki 3 2004 Quantum graph walks. II: Quantum walks on graph coverings. Zbl 1312.81082 Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo 3 2013 Periodicity for space-inhomogeneous quantum walks on the cycle. Zbl 1397.81114 Arai, Toshiyuki; Ho, Choon-Lin; Ide, Yusuke; Konno, Norio 3 2016 Uniform stationary measure of space-inhomogeneous quantum walks in one dimension. Zbl 1451.81307 Ide, Yusuke; Konno, Norio; Nakayama, Daichi 3 2019 Vertex-face/zeta correspondence. Zbl 1501.81003 Komatsu, Takashi; Konno, Norio; Sato, Iwao 3 2022 General condition of quantum teleportation by one-dimensional quantum walks. Zbl 1509.81215 Yamagami, Tomoki; Segawa, Etsuo; Konno, Norio 3 2021 On global and local critical points of extended contact process on homogeneous trees. Zbl 1135.92323 Sugimine, Nobuaki; Masuda, Naoki; Konno, Norio; Aihara, Kazuyuki 2 2008 Successional dynamical models on the \(2\)-dimensional lattice space. Zbl 0972.82550 Sato, Kazunori; Konno, Norio 2 1995 Return probability of one-dimensional discrete-time quantum walks with final-time dependence. Zbl 1238.81155 Ide, Yusuke; Konno, Norio; Machida, Takuya; Segawa, Etsuo 2 2011 Coexistence results for a spatial stochastic epidemic model. Zbl 1071.60079 Konno, N.; Schinazi, R. B.; Tanemura, H. 2 2004 The quaternionic weighted zeta function of a graph. Zbl 1350.05162 Konno, Norio; Mitsuhashi, Hideo; Sato, Iwao 2 2016 Markov chain model approximating the Hodgkin-Huxley neuron. Zbl 1001.68731 Sakumura, Yuichi; Konno, Norio; Aihara, Kazuyuki 2 2001 The spectra of the unitary matrix of a 2-tessellable staggered quantum walk on a graph. Zbl 1398.81102 Konno, Norio; Sato, Iwao; Segawa, Etsuo 2 2016 Statistical properties of a generalized threshold network model. Zbl 1210.05157 Ide, Yusuke; Konno, Norio; Masuda, Naoki 2 2010 Continuous-time quantum walks on the threshold network model. Zbl 1204.81079 Ide, Yusuke; Konno, Norio 2 2010 Walk/zeta correspondence. Zbl 1506.60046 Komatsu, Takashi; Konno, Norio; Sato, Iwao 2 2023 Walk/Zeta correspondence for quantum and correlated random walks. Zbl 1503.60029 Konno, Norio; Tamura, Shunya 2 2021 The Heun differential equation and the Gauss differential equation related to quantum walks. Zbl 1271.81092 Konno, Norio; Machida, Takuya; Wakasa, Tohru 2 2012 A spectral analysis of discrete-time quantum walks related to the birth and death chains. Zbl 1392.82050 Ho, Choon-Lin; Ide, Yusuke; Konno, Norio; Segawa, Etsuo; Takumi, Kentaro 2 2018 How does Grover walk recognize the shape of crystal lattice? Zbl 1448.81242 Ko, Chul Ki; Konno, Norio; Segawa, Etsuo; Yoo, Hyun Jae 2 2018 Phase diagrams and correlation inequalities of a three-state stochastic epidemic model on the square lattice. Zbl 1113.92058 Ohtsuka, Kazumichi; Konno, Norio; Masuda, Naoki; Aihara, Kazuyuki 1 2006 Spectral properties of the threshold network model. Zbl 1207.68045 Ide, Yusuke; Konno, Norio; Obata, Nobuaki 1 2009 Phase transition of the contact process on the binary tree. Zbl 0972.82510 Tretyakov, Alex Yu.; Konno, Norio 1 1995 Survival probabilities for discrete-time models in one dimension. Zbl 0958.82030 Katori, Makoto; Konno, Norio; Tanemura, Hideki 1 2000 Limit theorems for the average distance and the degree distribution of the threshold network model. Zbl 1190.60092 Fujihara, Akihiro; Ide, Yusuke; Konno, Norio; Masuda, Naoki; Miwa, Hiroyoshi; Uchida, Masato 1 2009 Analyticity of survival probability for contact process around \(t = 0\). Zbl 1106.60077 Belitsky, Vladimir; Higuchi, Yasunari; Konno, Norio; Sugimine, Nobuaki 1 2007 The spectral analysis of the unitary matrix of a 2-tessellable staggered quantum walk on a graph. Zbl 1390.05220 Konno, Norio; Ide, Yusuke; Sato, Iwao 1 2018 From stochastic partial difference equations to stochastic cellular automata through the ultra-discretization. Zbl 1053.60067 Konno, Norio; Kunimatsu, Toshihiko; Ma, Xia 1 2004 Learning processes based on incomplete identification and information generation. Zbl 0795.68162 Gunji, Yukio-Pegio; Shinohara, Shuji; Konno, Norio 1 1993 Weak convergence of complex-valued measure for bi-product path space induced by quantum walk. Zbl 1297.81011 Konno, Norio; Segawa, Etsuo 1 2013 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 new time-series model based on quantum walk. Zbl 1423.60044 Konno, Norio 1 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 Quantum walks. Zbl 1459.81069 Konno, Norio 1 2020 The discrete-time quaternionic quantum walk and the second weighted zeta function on a graph. Zbl 1470.81045 Konno, Norio; Mitsuhashi, Hideo; Sato, Iwao 1 2017 The stationary measure for diagonal quantum walk with one defect. Zbl 1470.81040 Endo, Takako; Kawai, Hikari; Konno, Norio 1 2017 Zeta functions with respect to general coined quantum walk of periodic graphs. Zbl 1469.11356 Komatsu, Takashi; Konno, Norio; Sato, Iwao 1 2020 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 On the average hitting times of the squares of cycles. Zbl 1485.05166 Doi, Yoshiaki; Konno, Norio; Nakamigawa, Tomoki; Sakuma, Tadashi; Segawa, Etsuo; Shinohara, Hidehiro; Tamura, Shunya; Tanaka, Yuuho; Toyota, Kosuke 1 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 General condition of quantum teleportation by one-dimensional quantum walks. Zbl 1509.81215 Yamagami, Tomoki; Segawa, Etsuo; Konno, Norio 3 2021 Walk/Zeta correspondence for quantum and correlated random walks. Zbl 1503.60029 Konno, Norio; Tamura, Shunya 2 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 Relation between two-phase quantum walks and the topological invariant. Zbl 1477.60013 Endo, Takako; Konno, Norio; Obuse, Hideaki 7 2020 Quantum walks. Zbl 1459.81069 Konno, Norio 1 2020 Zeta functions with respect to general coined quantum walk of periodic graphs. Zbl 1469.11356 Komatsu, Takashi; Konno, Norio; Sato, Iwao 1 2020 Phase measurement of quantum walks: application to structure theorem of the positive support of the Grover walk. Zbl 1414.81145 Konno, Norio; Sato, Iwao; Segawa, Etsuo 4 2019 A new weighted Ihara zeta function for a graph. Zbl 1411.05169 Konno, Norio; Mitsuhashi, Hideo; Morita, Hideaki; Sato, Iwao 4 2019 Central limit theorems for open quantum random walks on the crystal lattices. Zbl 1421.82015 Ko, Chul Ki; Konno, Norio; Segawa, Etsuo; Yoo, Hyun Jae 4 2019 Uniform stationary measure of space-inhomogeneous quantum walks in one dimension. Zbl 1451.81307 Ide, Yusuke; Konno, Norio; Nakayama, Daichi 3 2019 A new time-series model based on quantum walk. Zbl 1423.60044 Konno, Norio 1 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 Partition-based discrete-time quantum walks. Zbl 1395.81086 Konno, Norio; Portugal, Renato; Sato, Iwao; Segawa, Etsuo 12 2018 Stationary measure for two-state space-inhomogeneous quantum walk in one dimension. Zbl 1419.60064 Kawai, Hikari; Komatsu, Takashi; Konno, Norio 8 2018 A spectral analysis of discrete-time quantum walks related to the birth and death chains. Zbl 1392.82050 Ho, Choon-Lin; Ide, Yusuke; Konno, Norio; Segawa, Etsuo; Takumi, Kentaro 2 2018 How does Grover walk recognize the shape of crystal lattice? Zbl 1448.81242 Ko, Chul Ki; Konno, Norio; Segawa, Etsuo; Yoo, Hyun Jae 2 2018 The spectral analysis of the unitary matrix of a 2-tessellable staggered quantum walk on a graph. Zbl 1390.05220 Konno, Norio; Ide, Yusuke; Sato, Iwao 1 2018 Periodicity of the discrete-time quantum walk on a finite graph. Zbl 1470.81043 Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo 14 2017 Sensitivity of quantum walks to a boundary of two-dimensional lattices: approaches based on the CGMV method and topological phases. Zbl 1386.82022 Endo, Takako; Konno, Norio; Obuse, Hideaki; Segawa, Etsuo 10 2017 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 Periodicity for the Hadamard walk on cycles. Zbl 1468.81030 Konno, Norio; Shimizu, Yuki; Takei, Masato 7 2017 The discrete-time quaternionic quantum walk and the second weighted zeta function on a graph. Zbl 1470.81045 Konno, Norio; Mitsuhashi, Hideo; Sato, Iwao 1 2017 The stationary measure for diagonal quantum walk with one defect. Zbl 1470.81040 Endo, Takako; Kawai, Hikari; Konno, Norio 1 2017 Weak limit theorem of a two-phase quantum walk with one defect. Zbl 1453.62406 Endo, Shimpei; Endo, Takako; Konno, Norio; Segawa, Etsuo; Takei, Masato 10 2016 The discrete-time quaternionic quantum walk on a graph. Zbl 1333.81210 Konno, Norio; Mitsuhashi, Hideo; Sato, Iwao 8 2016 Periodicity for space-inhomogeneous quantum walks on the cycle. Zbl 1397.81114 Arai, Toshiyuki; Ho, Choon-Lin; Ide, Yusuke; Konno, Norio 3 2016 The quaternionic weighted zeta function of a graph. Zbl 1350.05162 Konno, Norio; Mitsuhashi, Hideo; Sato, Iwao 2 2016 The spectra of the unitary matrix of a 2-tessellable staggered quantum walk on a graph. Zbl 1398.81102 Konno, Norio; Sato, Iwao; Segawa, Etsuo 2 2016 Quaternionic quantum walks. Zbl 1317.81184 Konno, Norio 7 2015 Weak convergence of the Wojcik model. Zbl 1336.60041 Endo, Takako; Konno, Norio 5 2015 Spectral and asymptotic properties of Grover walks on crystal lattices. Zbl 1302.82090 Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo 41 2014 The stationary measure of a space-inhomogeneous quantum walk on the line. Zbl 1333.60012 Endo, Takako; Konno, Norio 16 2014 The uniform measure for discrete-time quantum walks in one dimension. Zbl 1291.81205 Konno, Norio 12 2014 A one-dimensional Hadamard walk with one defect. Zbl 1318.60052 Endo, Takako; Konno, Norio; Segawa, Etsuo; Takei, Masato 11 2014 A remark on zeta functions of finite graphs via quantum walks. Zbl 1326.81108 Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo 6 2014 Limit measures of inhomogeneous discrete-time quantum walks in one dimension. Zbl 1310.81104 Konno, Norio; Łuczak, Tomasz; Segawa, Etsuo 30 2013 Limit theorems for open quantum random walks. Zbl 1259.82093 Konno, Norio; Yoo, Hyun Jae 25 2013 Quantum graph walks. I: Mapping to quantum walks. Zbl 1312.81081 Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo 19 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 11 2013 Localization of the Grover walks on spidernets and free Meixner laws. Zbl 1275.81058 Konno, Norio; Obata, Nobuaki; Segawa, Etsuo 11 2013 Quantum graph walks. II: Quantum walks on graph coverings. Zbl 1312.81082 Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo 3 2013 Weak convergence of complex-valued measure for bi-product path space induced by quantum walk. Zbl 1297.81011 Konno, Norio; Segawa, Etsuo 1 2013 On the relation between quantum walks and zeta functions. Zbl 1241.81045 Konno, Norio; Sato, Iwao 24 2012 Time averaged distribution of a discrete-time quantum walk on the path. Zbl 1252.82085 Ide, Yusuke; Konno, Norio; Segawa, Etsuo 7 2012 Limit theorems for the discrete-time quantum walk on a graph with joined half lines. Zbl 1256.81019 Chisaki, Kota; Konno, Norio; Segawa, Etsuo 6 2012 Sojourn times of the Hadamard walk in one dimension. Zbl 1239.81053 Konno, Norio 4 2012 The Heun differential equation and the Gauss differential equation related to quantum walks. Zbl 1271.81092 Konno, Norio; Machida, Takuya; Wakasa, Tohru 2 2012 On the entropy of decoherence matrix for quantum walks. Zbl 1271.81093 Konno, Norio; Segawa, Etsuo 1 2012 Localization of discrete-time quantum walks on a half line via the CGMV method. Zbl 1238.81073 Konno, Norio; Segawa, Etsuo 18 2011 Crossovers induced by discrete-time quantum walks. Zbl 1238.81153 Chisaki, Kota; Konno, Norio; Segawa, Etsuo; Shikano, Yutaka 9 2011 Entanglement for discrete-time quantum walks on the line. Zbl 1238.81028 Ide, Yusuke; Konno, Norio; Machida, Takuya 5 2011 Return probability of one-dimensional discrete-time quantum walks with final-time dependence. Zbl 1238.81155 Ide, Yusuke; Konno, Norio; Machida, Takuya; Segawa, Etsuo 2 2011 Localization of an inhomogeneous discrete-time quantum walk on the line. Zbl 1196.82087 Konno, Norio 33 2010 Limit theorems for quantum walks with memory. Zbl 1266.81124 Konno, Norio; Machida, Takuya 12 2010 Quantum walks and elliptic integrals. Zbl 1205.82082 Konno, Norio 4 2010 Statistical properties of a generalized threshold network model. Zbl 1210.05157 Ide, Yusuke; Konno, Norio; Masuda, Naoki 2 2010 Continuous-time quantum walks on the threshold network model. Zbl 1204.81079 Ide, Yusuke; Konno, Norio 2 2010 One-dimensional discrete-time quantum walks on random environments. Zbl 1176.81054 Konno, Norio 30 2009 Limit theorems and absorption problems for one-dimensional correlated random walks. Zbl 1161.60309 Konno, Norio 13 2009 Limit theorems for discrete-time quantum walks on trees. Zbl 1186.60103 Chisaki, Kota; Hamada, Masatoshi; Konno, Norio; Segawa, Etsuo 12 2009 Orthogonal polynomials induced by discrete-time quantum walks in one dimension. Zbl 1196.60164 Hamada, Masatoshi; Konno, Norio; Młotkowski, Wojciech 5 2009 Spectral properties of the threshold network model. Zbl 1207.68045 Ide, Yusuke; Konno, Norio; Obata, Nobuaki 1 2009 Limit theorems for the average distance and the degree distribution of the threshold network model. Zbl 1190.60092 Fujihara, Akihiro; Ide, Yusuke; Konno, Norio; Masuda, Naoki; Miwa, Hiroyoshi; Uchida, Masato 1 2009 Quantum walks. Zbl 1329.82011 Konno, Norio 94 2008 Limit theorems for quantum walks driven by many coins. Zbl 1165.81318 Segawa, Etsuo; Konno, Norio 14 2008 On global and local critical points of extended contact process on homogeneous trees. Zbl 1135.92323 Sugimine, Nobuaki; Masuda, Naoki; Konno, Norio; Aihara, Kazuyuki 2 2008 Analyticity of survival probability for contact process around \(t = 0\). Zbl 1106.60077 Belitsky, Vladimir; Higuchi, Yasunari; Konno, Norio; Sugimine, Nobuaki 1 2007 Continuous-time quantum walks on trees in quantum probability theory. Zbl 1097.60087 Konno, Norio 19 2006 Multi-state epidemic processes on complex networks. Zbl 1447.92453 Masuda, Naoki; Konno, Norio 15 2006 Continuous-time quantum walks on ultrametric spaces. Zbl 1107.81015 Konno, Norio 10 2006 Phase diagrams and correlation inequalities of a three-state stochastic epidemic model on the square lattice. Zbl 1113.92058 Ohtsuka, Kazumichi; Konno, Norio; Masuda, Naoki; Aihara, Kazuyuki 1 2006 A new type of limit theorems for the one-dimensional quantum random walk. Zbl 1173.81318 Konno, Norio 71 2005 Fluctuations of quantum random walks on circles. Zbl 1077.81021 Inui, Norio; Konishi, Yoshinao; Konno, Norio; Soshi, Takahiro 6 2005 Rigorous results on the threshold network model. Zbl 1078.90015 Konno, Norio; Masuda, Naoki; Roy, Rahul; Sarkar, Anish 3 2005 Symmetry of distribution for the one-dimensional Hadamard walk. Zbl 1052.60079 Konno, Norio; Namiki, Takao; Soshi, Takahiro 7 2004 Quantum walks and reversible cellular automata. Zbl 1209.82031 Konno, N.; Mistuda, K.; Soshi, T.; Yoo, H. J. 3 2004 Dualities for the Domany-Kinzel model. Zbl 1046.60063 Katori, Makoto; Konno, Norio; Sudbury, Aidan; Tanemura, Hideki 3 2004 Coexistence results for a spatial stochastic epidemic model. Zbl 1071.60079 Konno, N.; Schinazi, R. B.; Tanemura, H. 2 2004 From stochastic partial difference equations to stochastic cellular automata through the ultra-discretization. Zbl 1053.60067 Konno, Norio; Kunimatsu, Toshihiko; Ma, Xia 1 2004 Absorption problems for quantum walks in one dimension. Zbl 1066.82031 Konno, Norio; Namiki, Takao; Soshi, Takahiro; Sudbury, Aidan 15 2003 Quantum random walks in one dimension. Zbl 1329.82012 Konno, Norio 94 2002 Limit theorems and absorption problems for quantum random walks in one dimension. Zbl 1152.81758 Konno, N. 10 2002 Parity law for population dynamics of \(N\)-species with cyclic advantage competitions. Zbl 1017.92026 Sato, Kazunori; Yoshida, Naoto; Konno, Norio 8 2002 Limit theorems for the nonattractive Domany-Kinzel model. Zbl 1018.60095 Katori, Makoto; Konno, Norio; Tanemura, Hideki 8 2002 Dualities for a class of finite range probabilistic cellular automata in one dimension. Zbl 1174.82317 Konno, Norio 4 2002 Self-duality for multi-state probabilistic cellular automata with finite range interactions. Zbl 1174.82318 Konno, Norio 3 2002 Markov chain model approximating the Hodgkin-Huxley neuron. Zbl 1001.68731 Sakumura, Yuichi; Konno, Norio; Aihara, Kazuyuki 2 2001 Survival probabilities for discrete-time models in one dimension. Zbl 0958.82030 Katori, Makoto; Konno, Norio; Tanemura, Hideki 1 2000 Asymptotic behavior of basic contact process with rapid stirring. Zbl 0928.60090 Konno, Norio 3 1995 Successional dynamical models on the \(2\)-dimensional lattice space. Zbl 0972.82550 Sato, Kazunori; Konno, Norio 2 1995 Phase transition of the contact process on the binary tree. Zbl 0972.82510 Tretyakov, Alex Yu.; Konno, Norio 1 1995 Phase transitions of interacting particle systems. Zbl 0847.60088 Konno, Norio 9 1994 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 599 Authors 70 Konno, Norio 48 Segawa, Etsuo 25 Sato, Iwao 16 Suzuki, Akito 14 Portugal, Renato 13 Ide, Yusuke 13 Komatsu, Takashi 12 Joye, Alain 12 Li, Zenghu 11 Mytnik, Leonid 10 Xiong, Jie 9 Gunji, Yukio-Pegio 9 Machida, Takuya 8 Dawson, Donald Andrew 8 Higuchi, Yusuke 8 Kubota, Sho 7 Fleischmann, Klaus 7 Yoo, Hyun Jae 7 Yoshie, Yusuke 6 Fillman, Jake 6 Li, Dan 6 Mitsuhashi, Hideo 6 Tate, Tatsuya 6 Wang, Caishi 6 Wang, Hao 6 Yang, Yuguang 5 Böttcher, Stefan 5 Ko, Chul Ki 5 Liu, Chaobin 5 Maeda, Masaya 5 Matsue, Kaname 5 Morioka, Hisashi 5 Müller, Carl E. 5 Ohno, Hiromichi 5 Perkins, Edwin A. 5 Wada, Kazuyuki 4 Accardi, Luigi 4 da Silva, Telles Timóteo 4 Fragoso, Marcelo Dutra 4 Funakawa, Daiju 4 Grünbaum, Francisco Alberto 4 Hamza, Eman 4 Jex, Igor 4 Kang, Yuanbao 4 Katori, Makoto 4 Kiumi, Chusei 4 Kuklinski, Parker 4 Lardizabal, Carlos F. 4 Li, Jian 4 Morita, Hideaki 4 Mukhamedov, Farruh Maksutovich 4 Ogurisu, Osamu 4 Ong, Darren C. 4 Petruccione, Francesco 4 Sabri, Mohamed 4 Saito, Kei 4 Souissi, Abdessatar 4 Štefaňák, Martin 4 Tanaka, Yohei 4 Tiedra de Aldecoa, Rafael 4 Venegas-Andraca, Salvador Elías 4 Wang, Ce 4 Yang, Xu 4 Zhan, Hanmeng 3 Ahlbrecht, Andre 3 Balu, Radhakrishnan 3 Barhoumi, Abdessatar 3 Blount, Douglas 3 Damanik, David 3 Di Molfetta, Giuseppe 3 Ellinas, Demosthenes 3 Endo, Takako 3 He, Hui 3 Jin, Zhen 3 Krone, Stephen M. 3 Lalley, Steven P. 3 Li, Hengji 3 Masuda, Naoki 3 Petulante, Nelson 3 Radgohar, R. 3 Richard, Serge 3 Romanelli, Alejandro 3 Sasaki, Hironobu 3 Shi, Weimin 3 Suzuki, Kanako 3 Taniguchi, Tetsuji 3 Velázquez, Luis 3 Wang, Yi 3 Wang, Yongjin 3 Werner, Albert H. 3 Yuan, Jiabin 3 Zhou, Xiaowen 3 Zhou, Yihua 2 Abd-El-Atty, Bassem 2 Adhikari, Bibhas 2 Aihara, Kazuyuki 2 Asahara, Keisuke 2 Asch, Joachim 2 Attal, Stéphane 2 Bai, Ning ...and 499 more Authors all top 5 Cited in 116 Serials 93 Quantum Information Processing 29 Journal of Statistical Physics 23 Journal of Physics A: Mathematical and Theoretical 22 The Annals of Probability 20 Linear Algebra and its Applications 17 Stochastic Processes and their Applications 17 International Journal of Quantum Information 12 Applied Mathematics and Computation 12 Probability Theory and Related Fields 12 Infinite Dimensional Analysis, Quantum Probability and Related Topics 11 Journal of Mathematical Physics 11 Interdisciplinary Information Sciences (IIS) 9 Physica A 9 Reviews in Mathematical Physics 8 Communications in Mathematical Physics 7 International Journal of Theoretical Physics 7 Quantum Studies: Mathematics and Foundations 6 Annales Henri Poincaré 5 Journal of Theoretical Probability 5 The Annals of Applied Probability 4 Discrete Mathematics 4 Journal of Mathematical Analysis and Applications 4 Letters in Mathematical Physics 4 Physics Letters. 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Nonlinear Differential Equations and Applications 2 Electronic Journal of Probability 2 Electronic Communications in Probability 2 Discrete and Continuous Dynamical Systems 2 Open Systems & Information Dynamics 2 Brazilian Journal of Probability and Statistics 2 Nonlinear Analysis. Real World Applications 2 Stochastics and Dynamics 2 Analysis and Applications (Singapore) 2 Journal of Statistical Mechanics: Theory and Experiment 2 Stochastics 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 Modern Physics Letters A 1 Advances in Applied Probability 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Biology 1 Linear and Multilinear Algebra 1 Mathematical Biosciences 1 Nonlinearity 1 Physics Reports 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Applied Probability 1 Journal of Approximation Theory 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Theoretical Population Biology 1 Statistical Science 1 SIAM Journal on Matrix Analysis and Applications 1 Science in China. Series A 1 Sugaku Expositions 1 Neural Networks 1 Aequationes Mathematicae 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Chinese Science Bulletin 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Potential Analysis 1 Random Operators and Stochastic Equations 1 Journal of Difference Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Chaos 1 Acta Mathematica Sinica. English Series 1 Methodology and Computing in Applied Probability 1 Journal of Modern Optics 1 Stochastic Models ...and 16 more Serials all top 5 Cited in 45 Fields 271 Probability theory and stochastic processes (60-XX) 256 Quantum theory (81-XX) 146 Statistical mechanics, structure of matter (82-XX) 94 Combinatorics (05-XX) 41 Biology and other natural sciences (92-XX) 39 Operator theory (47-XX) 33 Partial differential equations (35-XX) 33 Computer science (68-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 26 Number theory (11-XX) 22 Functional analysis (46-XX) 18 Dynamical systems and ergodic theory (37-XX) 13 Ordinary differential equations (34-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Statistics (62-XX) 8 Information and communication theory, circuits (94-XX) 7 Difference and functional equations (39-XX) 6 Associative rings and algebras (16-XX) 5 Measure and integration (28-XX) 5 Special functions (33-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Optics, electromagnetic theory (78-XX) 4 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Systems theory; control (93-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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