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## Konno, Norio

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 Author ID: konno.norio Published as: Konno, N.; Konno, Norio Homepage: http://er-web.jmk.ynu.ac.jp/html/KONNO_Norio/en.html External Links: Wikidata · ORCID · dblp
 Documents Indexed: 111 Publications since 1986, including 1 Book
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#### Co-Authors

 23 single-authored 27 Segawa, Etsuo 19 Sato, Iwao 14 Ide, Yusuke 7 Masuda, Naoki 6 Katori, Makoto 6 Komatsu, Takashi 6 Mitsuhashi, Hideo 5 Endo, Takako 5 Higuchi, Yusuke 5 Machida, Takuya 4 Soshi, Takahiro 4 Tanemura, Hideki 4 Yoo, Hyun Jae 3 Aihara, Kazuyuki 3 Chisaki, Kota 3 Gunji, Yukio-Pegio 3 Obata, Nobuaki 3 Sato, Kazunori 3 Sudbury, Aidan 2 Belitsky, Vladimir 2 Hamada, Masatoshi 2 Ho, Choon-Lin 2 Kawai, Hikari 2 Ko, Chul Ki 2 Namiki, Takao 2 Sugimine, Nobuaki 2 Takei, Masato 2 Tretyakov, Alex Yu. 1 Ahouse, Jeremy John 1 Arai, Toshiyuki 1 Asano, Masahiro 1 Bruderer, Erhard 1 Endo, Shimpei 1 Ferrari, Pablo Augusto 1 Fujihara, Akihiro 1 Gelover-Santiago, Angelica 1 Hancock, Edwin Robert 1 Higuchi, Yasunari 1 Inui, Norio 1 Konishi, Yoshinao 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 Młotkowski, Wojciech 1 Morita, Hideaki 1 Nakayama, Daichi 1 Narimatsu, Akihiro 1 Nicosia, Vincenzo 1 Obuse, Hideaki 1 Ohtsuka, Kazumichi 1 Portugal, Renato 1 Roy, Rahul K. 1 Saigo, Hayato 1 Sako, Hiroki 1 Sakumura, Yuichi 1 Sarkar, Anish 1 Schinazi, Rinaldo B. 1 Severini, Simone 1 Shiga, Takahiro 1 Shikano, Yutaka 1 Shinohara, Shuji 1 Takahashi, Sarato 1 Takumi, Kentaro 1 Uchida, Masato 1 Veretnik, Stella 1 Wakasa, Tohru 1 Wilson, Richard Charles 1 Xu, Xinping 1 Yoshida, Naoto 1 Yuki, Kenta 1 Zhang, Xiao-Kun
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#### Serials

 15 Yokohama Mathematical Journal 12 Quantum Information Processing 9 Journal of Statistical Physics 7 Quantum Information & Computation 6 Applied Mathematics and Computation 5 Linear Algebra and its Applications 5 Interdisciplinary Information Sciences (IIS) 4 Journal of Physics A: Mathematical and General 3 International Journal of Quantum Information 2 Physics Letters. A 2 Journal of Theoretical Probability 2 MSCS. Mathematical Structures in Computer Science 2 Annals of Physics 2 The Electronic Journal of Combinatorics 2 Journal of the Physical Society of Japan 2 Quantum Studies: Mathematics and Foundations 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Mathematical Biosciences 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 Journal of Algebraic Combinatorics 1 Markov Processes and Related Fields 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Methodology and Computing in Applied Probability 1 Stochastic Models 1 Internet Mathematics 1 Analysis and Applications (Singapore) 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Math-for-Industry 1 Journal of Theoretical Biology 1 Pacific Journal of Mathematics for Industry
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#### Fields

 64 Probability theory and stochastic processes (60-XX) 55 Quantum theory (81-XX) 55 Statistical mechanics, structure of matter (82-XX) 23 Combinatorics (05-XX) 11 Computer science (68-XX) 10 Biology and other natural sciences (92-XX) 9 Number theory (11-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-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) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

81 Publications have been cited 691 times in 344 Documents Cited by Year
Stochastic partial differential equations for some measure-valued diffusions. Zbl 0631.60058
Konno, Norio; Shiga, T.
1988
Quantum walks. Zbl 1329.82011
Konno, Norio
2008
Quantum random walks in one dimension. Zbl 1329.82012
Konno, Norio
2002
A new type of limit theorems for the one-dimensional quantum random walk. Zbl 1173.81318
Konno, Norio
2005
One-dimensional discrete-time quantum walks on random environments. Zbl 1176.81054
Konno, Norio
2009
Localization of an inhomogeneous discrete-time quantum walk on the line. Zbl 1196.82087
Konno, Norio
2010
Spectral and asymptotic properties of Grover walks on crystal lattices. Zbl 1302.82090
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2014
Limit measures of inhomogeneous discrete-time quantum walks in one dimension. Zbl 1310.81104
Konno, Norio; Łuczak, Tomasz; Segawa, Etsuo
2013
Quantum graph walks. I: Mapping to quantum walks. Zbl 1312.81081
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2013
Limit theorems for open quantum random walks. Zbl 1259.82093
Konno, Norio; Yoo, Hyun Jae
2013
On the relation between quantum walks and zeta functions. Zbl 1241.81045
Konno, Norio; Sato, Iwao
2012
Localization of discrete-time quantum walks on a half line via the CGMV method. Zbl 1238.81073
Konno, Norio; Segawa, Etsuo
2011
Continuous-time quantum walks on trees in quantum probability theory. Zbl 1097.60087
Konno, Norio
2006
Absorption problems for quantum walks in one dimension. Zbl 1066.82031
Konno, Norio; Namiki, Takao; Soshi, Takahiro; Sudbury, Aidan
2003
Limit theorems for quantum walks driven by many coins. Zbl 1165.81318
Segawa, Etsuo; Konno, Norio
2008
The stationary measure of a space-inhomogeneous quantum walk on the line. Zbl 1333.60012
Endo, Takako; Konno, Norio
2014
Limit theorems for discrete-time quantum walks on trees. Zbl 1186.60103
Chisaki, Kota; Hamada, Masatoshi; Konno, Norio; Segawa, Etsuo
2009
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
Limit theorems for quantum walks with memory. Zbl 1266.81124
Konno, Norio; Machida, Takuya
2010
Continuous-time quantum walks on ultrametric spaces. Zbl 1107.81015
Konno, Norio
2006
Phase transitions of interacting particle systems. Zbl 0847.60088
Konno, Norio
1994
Artificial life with autonomously emerging boundaries. Zbl 0797.92004
Gunji, Yukio; Konno, Norio
1991
Localization of the Grover walks on spidernets and free Meixner laws. Zbl 1275.81058
Konno, Norio; Obata, Nobuaki; Segawa, Etsuo
2013
Limit theorems and absorption problems for quantum random walks in one dimension. Zbl 1152.81758
Konno, N.
2002
Limit theorems for the nonattractive Domany-Kinzel model. Zbl 1018.60095
Katori, Makoto; Konno, Norio; Tanemura, Hideki
2002
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
2017
The uniform measure for discrete-time quantum walks in one dimension. Zbl 1291.81205
Konno, Norio
2014
Crossovers induced by discrete-time quantum walks. Zbl 1238.81153
Chisaki, Kota; Konno, Norio; Segawa, Etsuo; Shikano, Yutaka
2011
Parity law for population dynamics of $$N$$-species with cyclic advantage competitions. Zbl 1017.92026
Sato, Kazunori; Yoshida, Naoto; Konno, Norio
2002
A one-dimensional Hadamard walk with one defect. Zbl 1318.60052
Endo, Takako; Konno, Norio; Segawa, Etsuo; Takei, Masato
2014
Time averaged distribution of a discrete-time quantum walk on the path. Zbl 1252.82085
Ide, Yusuke; Konno, Norio; Segawa, Etsuo
2012
Quaternionic quantum walks. Zbl 1317.81184
Konno, Norio
2015
A remark on zeta functions of finite graphs via quantum walks. Zbl 1326.81108
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2014
Limit theorems for the discrete-time quantum walk on a graph with joined half lines. Zbl 1256.81019
Chisaki, Kota; Konno, Norio; Segawa, Etsuo
2012
Orthogonal polynomials induced by discrete-time quantum walks in one dimension. Zbl 1196.60164
Hamada, Masatoshi; Konno, Norio; Młotkowski, Wojciech
2009
Limit theorems and absorption problems for one-dimensional correlated random walks. Zbl 1161.60309
Konno, Norio
2009
Partition-based discrete-time quantum walks. Zbl 1395.81086
Konno, Norio; Portugal, Renato; Sato, Iwao; Segawa, Etsuo
2018
The discrete-time quaternionic quantum walk on a graph. Zbl 1333.81210
Konno, Norio; Mitsuhashi, Hideo; Sato, Iwao
2016
Weak convergence of the Wojcik model. Zbl 1336.60041
Endo, Takako; Konno, Norio
2015
Entanglement for discrete-time quantum walks on the line. Zbl 1238.81028
Ide, Yusuke; Konno, Norio; Machida, Takuya
2011
Symmetry of distribution for the one-dimensional Hadamard walk. Zbl 1052.60079
Konno, Norio; Namiki, Takao; Soshi, Takahiro
2004
Dualities for a class of finite range probabilistic cellular automata in one dimension. Zbl 1174.82317
Konno, Norio
2002
Mathematical construction of an autonomous artificial life. Zbl 0785.92003
Konno, Norio; Gunji, Yukio
1991
Quantum graph walks. II: Quantum walks on graph coverings. Zbl 1312.81082
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2013
Rigorous results on the threshold network model. Zbl 1078.90015
Konno, Norio; Masuda, Naoki; Roy, Rahul; Sarkar, Anish
2005
Self-duality for multi-state probabilistic cellular automata with finite range interactions. Zbl 1174.82318
Konno, Norio
2002
Asymptotic behavior of basic contact process with rapid stirring. Zbl 0928.60090
Konno, Norio
1995
A new weighted Ihara zeta function for a graph. Zbl 1411.05169
Konno, Norio; Mitsuhashi, Hideo; Morita, Hideaki; Sato, Iwao
2019
Stationary amplitudes of quantum walks on the higher-dimensional integer lattice. Zbl 1382.81057
Komatsu, Takashi; Konno, Norio
2017
The quaternionic weighted zeta function of a graph. Zbl 1350.05162
Konno, Norio; Mitsuhashi, Hideo; Sato, Iwao
2016
The Heun differential equation and the Gauss differential equation related to quantum walks. Zbl 1271.81092
Konno, Norio; Machida, Takuya; Wakasa, Tohru
2012
Sojourn times of the Hadamard walk in one dimension. Zbl 1239.81053
Konno, Norio
2012
Quantum walks and elliptic integrals. Zbl 1205.82082
Konno, Norio
2010
Continuous-time quantum walks on the threshold network model. Zbl 1204.81079
Ide, Yusuke; Konno, Norio
2010
Statistical properties of a generalized threshold network model. Zbl 1210.05157
Ide, Yusuke; Konno, Norio; Masuda, Naoki
2010
On global and local critical points of extended contact process on homogeneous trees. Zbl 1135.92323
Sugimine, Nobuaki; Masuda, Naoki; Konno, Norio; Aihara, Kazuyuki
2008
Fluctuations of quantum random walks on circles. Zbl 1077.81021
Inui, Norio; Konishi, Yoshinao; Konno, Norio; Soshi, Takahiro
2005
Quantum walks and reversible cellular automata. Zbl 1209.82031
Konno, N.; Mistuda, K.; Soshi, T.; Yoo, H. J.
2004
Coexistence results for a spatial stochastic epidemic model. Zbl 1071.60079
Konno, N.; Schinazi, R. B.; Tanemura, H.
2004
Dualities for the Domany-Kinzel model. Zbl 1046.60063
Katori, Makoto; Konno, Norio; Sudbury, Aidan; Tanemura, Hideki
2004
Markov chain model approximating the Hodgkin-Huxley neuron. Zbl 1001.68731
Sakumura, Yuichi; Konno, Norio; Aihara, Kazuyuki
2001
Successional dynamical models on the $$2$$-dimensional lattice space. Zbl 0972.82550
Sato, Kazunori; Konno, Norio
1995
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
2019
Stationary measure for two-state space-inhomogeneous quantum walk in one dimension. Zbl 1419.60064
Kawai, Hikari; Komatsu, Takashi; Konno, Norio
2018
How does Grover walk recognize the shape of crystal lattice? Zbl 1448.81242
Ko, Chul Ki; Konno, Norio; Segawa, Etsuo; Yoo, Hyun Jae
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
2018
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
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
2016
Periodicity for space-inhomogeneous quantum walks on the cycle. Zbl 1397.81114
Arai, Toshiyuki; Ho, Choon-Lin; Ide, Yusuke; Konno, Norio
2016
Weak convergence of complex-valued measure for bi-product path space induced by quantum walk. Zbl 1297.81011
Konno, Norio; Segawa, Etsuo
2013
On the entropy of decoherence matrix for quantum walks. Zbl 1271.81093
Konno, Norio; Segawa, Etsuo
2012
Return probability of one-dimensional discrete-time quantum walks with final-time dependence. Zbl 1238.81155
Ide, Yusuke; Konno, Norio; Machida, Takuya; Segawa, Etsuo
2011
Spectral properties of the threshold network model. Zbl 1207.68045
Ide, Yusuke; Konno, Norio; Obata, Nobuaki
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
2009
Analyticity of survival probability for contact process around $$t = 0$$. Zbl 1106.60077
Belitsky, Vladimir; Higuchi, Yasunari; Konno, Norio; Sugimine, Nobuaki
2007
Multi-state epidemic processes on complex networks. Zbl 1447.92453
Masuda, Naoki; Konno, Norio
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
2006
From stochastic partial difference equations to stochastic cellular automata through the ultra-discretization. Zbl 1053.60067
Konno, Norio; Kunimatsu, Toshihiko; Ma, Xia
2004
Survival probabilities for discrete-time models in one dimension. Zbl 0958.82030
Katori, Makoto; Konno, Norio; Tanemura, Hideki
2000
Phase transition of the contact process on the binary tree. Zbl 0972.82510
Tretyakov, Alex Yu.; Konno, Norio
1995
Learning processes based on incomplete identification and information generation. Zbl 0795.68162
Gunji, Yukio-Pegio; Shinohara, Shuji; Konno, Norio
1993
A new weighted Ihara zeta function for a graph. Zbl 1411.05169
Konno, Norio; Mitsuhashi, Hideo; Morita, Hideaki; Sato, Iwao
2019
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
2019
Partition-based discrete-time quantum walks. Zbl 1395.81086
Konno, Norio; Portugal, Renato; Sato, Iwao; Segawa, Etsuo
2018
Stationary measure for two-state space-inhomogeneous quantum walk in one dimension. Zbl 1419.60064
Kawai, Hikari; Komatsu, Takashi; Konno, Norio
2018
How does Grover walk recognize the shape of crystal lattice? Zbl 1448.81242
Ko, Chul Ki; Konno, Norio; Segawa, Etsuo; Yoo, Hyun Jae
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
2018
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
2017
Stationary amplitudes of quantum walks on the higher-dimensional integer lattice. Zbl 1382.81057
Komatsu, Takashi; Konno, Norio
2017
The discrete-time quaternionic quantum walk on a graph. Zbl 1333.81210
Konno, Norio; Mitsuhashi, Hideo; Sato, Iwao
2016
The quaternionic weighted zeta function of a graph. Zbl 1350.05162
Konno, Norio; Mitsuhashi, Hideo; Sato, Iwao
2016
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
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
2016
Periodicity for space-inhomogeneous quantum walks on the cycle. Zbl 1397.81114
Arai, Toshiyuki; Ho, Choon-Lin; Ide, Yusuke; Konno, Norio
2016
Quaternionic quantum walks. Zbl 1317.81184
Konno, Norio
2015
Weak convergence of the Wojcik model. Zbl 1336.60041
Endo, Takako; Konno, Norio
2015
Spectral and asymptotic properties of Grover walks on crystal lattices. Zbl 1302.82090
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2014
The stationary measure of a space-inhomogeneous quantum walk on the line. Zbl 1333.60012
Endo, Takako; Konno, Norio
2014
The uniform measure for discrete-time quantum walks in one dimension. Zbl 1291.81205
Konno, Norio
2014
A one-dimensional Hadamard walk with one defect. Zbl 1318.60052
Endo, Takako; Konno, Norio; Segawa, Etsuo; Takei, Masato
2014
A remark on zeta functions of finite graphs via quantum walks. Zbl 1326.81108
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2014
Limit measures of inhomogeneous discrete-time quantum walks in one dimension. Zbl 1310.81104
Konno, Norio; Łuczak, Tomasz; Segawa, Etsuo
2013
Quantum graph walks. I: Mapping to quantum walks. Zbl 1312.81081
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2013
Limit theorems for open quantum random walks. Zbl 1259.82093
Konno, Norio; Yoo, Hyun Jae
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
Localization of the Grover walks on spidernets and free Meixner laws. Zbl 1275.81058
Konno, Norio; Obata, Nobuaki; Segawa, Etsuo
2013
Quantum graph walks. II: Quantum walks on graph coverings. Zbl 1312.81082
Higuchi, Yusuke; Konno, Norio; Sato, Iwao; Segawa, Etsuo
2013
Weak convergence of complex-valued measure for bi-product path space induced by quantum walk. Zbl 1297.81011
Konno, Norio; Segawa, Etsuo
2013
On the relation between quantum walks and zeta functions. Zbl 1241.81045
Konno, Norio; Sato, Iwao
2012
Time averaged distribution of a discrete-time quantum walk on the path. Zbl 1252.82085
Ide, Yusuke; Konno, Norio; Segawa, Etsuo
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
2012
The Heun differential equation and the Gauss differential equation related to quantum walks. Zbl 1271.81092
Konno, Norio; Machida, Takuya; Wakasa, Tohru
2012
Sojourn times of the Hadamard walk in one dimension. Zbl 1239.81053
Konno, Norio
2012
On the entropy of decoherence matrix for quantum walks. Zbl 1271.81093
Konno, Norio; Segawa, Etsuo
2012
Localization of discrete-time quantum walks on a half line via the CGMV method. Zbl 1238.81073
Konno, Norio; Segawa, Etsuo
2011
Crossovers induced by discrete-time quantum walks. Zbl 1238.81153
Chisaki, Kota; Konno, Norio; Segawa, Etsuo; Shikano, Yutaka
2011
Entanglement for discrete-time quantum walks on the line. Zbl 1238.81028
Ide, Yusuke; Konno, Norio; Machida, Takuya
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
2011
Localization of an inhomogeneous discrete-time quantum walk on the line. Zbl 1196.82087
Konno, Norio
2010
Limit theorems for quantum walks with memory. Zbl 1266.81124
Konno, Norio; Machida, Takuya
2010
Quantum walks and elliptic integrals. Zbl 1205.82082
Konno, Norio
2010
Continuous-time quantum walks on the threshold network model. Zbl 1204.81079
Ide, Yusuke; Konno, Norio
2010
Statistical properties of a generalized threshold network model. Zbl 1210.05157
Ide, Yusuke; Konno, Norio; Masuda, Naoki
2010
One-dimensional discrete-time quantum walks on random environments. Zbl 1176.81054
Konno, Norio
2009
Limit theorems for discrete-time quantum walks on trees. Zbl 1186.60103
Chisaki, Kota; Hamada, Masatoshi; Konno, Norio; Segawa, Etsuo
2009
Orthogonal polynomials induced by discrete-time quantum walks in one dimension. Zbl 1196.60164
Hamada, Masatoshi; Konno, Norio; Młotkowski, Wojciech
2009
Limit theorems and absorption problems for one-dimensional correlated random walks. Zbl 1161.60309
Konno, Norio
2009
Spectral properties of the threshold network model. Zbl 1207.68045
Ide, Yusuke; Konno, Norio; Obata, Nobuaki
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
2009
Quantum walks. Zbl 1329.82011
Konno, Norio
2008
Limit theorems for quantum walks driven by many coins. Zbl 1165.81318
Segawa, Etsuo; Konno, Norio
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
2008
Analyticity of survival probability for contact process around $$t = 0$$. Zbl 1106.60077
Belitsky, Vladimir; Higuchi, Yasunari; Konno, Norio; Sugimine, Nobuaki
2007
Continuous-time quantum walks on trees in quantum probability theory. Zbl 1097.60087
Konno, Norio
2006
Continuous-time quantum walks on ultrametric spaces. Zbl 1107.81015
Konno, Norio
2006
Multi-state epidemic processes on complex networks. Zbl 1447.92453
Masuda, Naoki; Konno, Norio
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
2006
A new type of limit theorems for the one-dimensional quantum random walk. Zbl 1173.81318
Konno, Norio
2005
Rigorous results on the threshold network model. Zbl 1078.90015
Konno, Norio; Masuda, Naoki; Roy, Rahul; Sarkar, Anish
2005
Fluctuations of quantum random walks on circles. Zbl 1077.81021
Inui, Norio; Konishi, Yoshinao; Konno, Norio; Soshi, Takahiro
2005
Symmetry of distribution for the one-dimensional Hadamard walk. Zbl 1052.60079
Konno, Norio; Namiki, Takao; Soshi, Takahiro
2004
Quantum walks and reversible cellular automata. Zbl 1209.82031
Konno, N.; Mistuda, K.; Soshi, T.; Yoo, H. J.
2004
Coexistence results for a spatial stochastic epidemic model. Zbl 1071.60079
Konno, N.; Schinazi, R. B.; Tanemura, H.
2004
Dualities for the Domany-Kinzel model. Zbl 1046.60063
Katori, Makoto; Konno, Norio; Sudbury, Aidan; Tanemura, Hideki
2004
From stochastic partial difference equations to stochastic cellular automata through the ultra-discretization. Zbl 1053.60067
Konno, Norio; Kunimatsu, Toshihiko; Ma, Xia
2004
Absorption problems for quantum walks in one dimension. Zbl 1066.82031
Konno, Norio; Namiki, Takao; Soshi, Takahiro; Sudbury, Aidan
2003
Quantum random walks in one dimension. Zbl 1329.82012
Konno, Norio
2002
Limit theorems and absorption problems for quantum random walks in one dimension. Zbl 1152.81758
Konno, N.
2002
Limit theorems for the nonattractive Domany-Kinzel model. Zbl 1018.60095
Katori, Makoto; Konno, Norio; Tanemura, Hideki
2002
Parity law for population dynamics of $$N$$-species with cyclic advantage competitions. Zbl 1017.92026
Sato, Kazunori; Yoshida, Naoto; Konno, Norio
2002
Dualities for a class of finite range probabilistic cellular automata in one dimension. Zbl 1174.82317
Konno, Norio
2002
Self-duality for multi-state probabilistic cellular automata with finite range interactions. Zbl 1174.82318
Konno, Norio
2002
Markov chain model approximating the Hodgkin-Huxley neuron. Zbl 1001.68731
Sakumura, Yuichi; Konno, Norio; Aihara, Kazuyuki
2001
Survival probabilities for discrete-time models in one dimension. Zbl 0958.82030
Katori, Makoto; Konno, Norio; Tanemura, Hideki
2000
Asymptotic behavior of basic contact process with rapid stirring. Zbl 0928.60090
Konno, Norio
1995
Successional dynamical models on the $$2$$-dimensional lattice space. Zbl 0972.82550
Sato, Kazunori; Konno, Norio
1995
Phase transition of the contact process on the binary tree. Zbl 0972.82510
Tretyakov, Alex Yu.; Konno, Norio
1995
Phase transitions of interacting particle systems. Zbl 0847.60088
Konno, Norio
1994
Learning processes based on incomplete identification and information generation. Zbl 0795.68162
Gunji, Yukio-Pegio; Shinohara, Shuji; Konno, Norio
1993
Artificial life with autonomously emerging boundaries. Zbl 0797.92004
Gunji, Yukio; Konno, Norio
1991
Mathematical construction of an autonomous artificial life. Zbl 0785.92003
Konno, Norio; Gunji, Yukio
1991
Stochastic partial differential equations for some measure-valued diffusions. Zbl 0631.60058
Konno, Norio; Shiga, T.
1988
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#### Cited by 453 Authors

 47 Konno, Norio 27 Segawa, Etsuo 14 Sato, Iwao 11 Joye, Alain 10 Ide, Yusuke 9 Gunji, Yukio-Pegio 9 Li, Zenghu 9 Mytnik, Leonid 9 Suzuki, Akito 8 Dawson, Donald Andrew 8 Fleischmann, Klaus 8 Portugal, Renato 8 Xiong, Jie 7 Salimi, Selva 6 Machida, Takuya 6 Wang, Caishi 5 Higuchi, Yusuke 5 Katori, Makoto 5 Liu, Chaobin 5 Müller, Carl E. 5 Perkins, Edwin A. 5 Tate, Tatsuya 5 Yoo, Hyun Jae 4 Accardi, Luigi 4 Böttcher, Stefan 4 Fillman, Jake 4 Hamza, Eman 4 Li, Dan 4 Mitsuhashi, Hideo 3 Ahlbrecht, Andre 3 Blount, Douglas 3 da Silva, Telles Timóteo 3 Damanik, David 3 Ellinas, Demosthenes 3 Fragoso, Marcelo Dutra 3 Grünbaum, Francisco Alberto 3 He, Hui 3 Jafarizadeh, Mohammad Ali 3 Jex, Igor 3 Kang, Yuanbao 3 Ko, Chul Ki 3 Komatsu, Takashi 3 Krone, Stephen M. 3 Kuklinski, Parker 3 Lalley, Steven P. 3 Lardizabal, Carlos F. 3 Masuda, Naoki 3 Matsue, Kaname 3 Ogurisu, Osamu 3 Ohno, Hiromichi 3 Ong, Darren C. 3 Petruccione, Francesco 3 Petulante, Nelson 3 Radgohar, R. 3 Sinayskiy, Ilya 3 Tanemura, Hideki 3 Wang, Hao 3 Werner, Albert H. 3 Yang, Xu 3 Yoshie, Yusuke 3 Zhou, Xiaowen 2 Aihara, Kazuyuki 2 Asch, Joachim 2 Attal, Stéphane 2 Barhoumi, Abdessatar 2 Belitsky, Vladimir 2 Bogolyubov, Nikolaĭ Mikhaĭlovich 2 Cantero, María José 2 Corwin, Ivan 2 Cox, J. Theodore 2 Dai, Wenjing 2 Di Molfetta, Giuseppe 2 Etheridge, Alison Mary 2 Fidaleo, Francesco 2 Fuda, Toru 2 Funakawa, Daiju 2 Greven, Andreas 2 Gündüç, Semra 2 Hong, Jieliang 2 Huang, Zhehao 2 Klenke, Achim 2 Kollár, B. 2 Kubota, Sho 2 Liggett, Thomas Milton 2 Liu, Rongli 2 Liu, Zhengrong 2 Maeda, Masaya 2 McGettrick, Michael 2 Merkli, Marco 2 Miszczak, Jaroslaw Adam 2 Moral, Leandro 2 Morita, Hideaki 2 Nami, Susan 2 Novotný, Jaroslav 2 Obata, Nobuaki 2 Park, Junpyo 2 Pautrat, Yan 2 Ren, Suling 2 Rhaima, Mohamed 2 Richard, Serge ...and 353 more Authors
all top 5

#### Cited in 95 Serials

 50 Quantum Information Processing 23 Journal of Statistical Physics 20 The Annals of Probability 17 Stochastic Processes and their Applications 13 International Journal of Quantum Information 11 Applied Mathematics and Computation 11 Probability Theory and Related Fields 11 Linear Algebra and its Applications 11 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 Journal of Mathematical Physics 8 Journal of Physics A: Mathematical and Theoretical 7 Quantum Studies: Mathematics and Foundations 6 Communications in Mathematical Physics 6 Physica A 5 International Journal of Theoretical Physics 5 Journal of Theoretical Probability 4 Journal of Mathematical Analysis and Applications 4 Letters in Mathematical Physics 4 Physics Letters. A 4 Reviews in Mathematical Physics 4 Statistics & Probability Letters 4 MSCS. Mathematical Structures in Computer Science 4 Annals of Physics 4 New Journal of Physics 4 Annales Henri Poincaré 3 Reports on Mathematical Physics 3 Chaos, Solitons and Fractals 3 Stochastic Analysis and Applications 2 International Journal of Modern Physics B 2 Discrete Mathematics 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Acta Applicandae Mathematicae 2 Graphs and Combinatorics 2 The Annals of Applied Probability 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Mathematical Sciences (New York) 2 The Electronic Journal of Combinatorics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Electronic Journal of Probability 2 Electronic Communications in Probability 2 Discrete and Continuous Dynamical Systems 2 Analysis and Applications (Singapore) 2 Journal of Statistical Mechanics: Theory and Experiment 2 Journal of Theoretical Biology 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 Advances in Applied Probability 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Physics Reports 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Applied Probability 1 Journal of Approximation Theory 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Theoretical Population Biology 1 Physica D 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 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 Algebraic Combinatorics 1 Random Operators and Stochastic Equations 1 The Journal of Fourier Analysis and Applications 1 Open Systems & Information Dynamics 1 Chaos 1 Interdisciplinary Information Sciences (IIS) 1 Acta Mathematica Sinica. English Series 1 Methodology and Computing in Applied Probability 1 Brazilian Journal of Probability and Statistics 1 Journal of Modern Optics 1 Nonlinear Analysis. Real World Applications 1 Stochastic Models 1 Stochastics and Dynamics 1 Foundations of Physics 1 Stochastics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Nonlinear Analysis. Hybrid Systems 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Random Matrices: Theory and Applications 1 Pacific Journal of Mathematics for Industry 1 Korean Journal of Mathematics
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#### Cited in 39 Fields

 214 Probability theory and stochastic processes (60-XX) 147 Quantum theory (81-XX) 111 Statistical mechanics, structure of matter (82-XX) 49 Combinatorics (05-XX) 26 Computer science (68-XX) 24 Biology and other natural sciences (92-XX) 23 Partial differential equations (35-XX) 20 Operator theory (47-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 16 Functional analysis (46-XX) 15 Dynamical systems and ergodic theory (37-XX) 11 Number theory (11-XX) 8 Statistics (62-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Ordinary differential equations (34-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Information and communication theory, circuits (94-XX) 3 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Numerical analysis (65-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX)

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