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Author ID: konno.norio Recent zbMATH articles by "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
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

Publications by Year

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 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
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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. A
4 Statistics & Probability Letters
4 Stochastic Analysis and Applications
4 MSCS. Mathematical Structures in Computer Science
4 Annals of Physics
4 New Journal of Physics
3 Reports on Mathematical Physics
3 Chaos, Solitons and Fractals
3 Journal of Algebraic Combinatorics
3 The Electronic Journal of Combinatorics
3 Journal of Theoretical Biology
2 International Journal of Modern Physics B
2 Journal of the Franklin Institute
2 Journal of Differential Equations
2 Journal of Functional Analysis
2 Journal of the Mathematical Society of Japan
2 Acta Applicandae Mathematicae
2 Physica D
2 Graphs and Combinatorics
2 Applied Mathematical Modelling
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Journal of Mathematical Sciences (New York)
2 NoDEA. 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
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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)

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