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Author ID: hikami.shinobu Recent zbMATH articles by "Hikami, Shinobu"
Published as: Hikami, S.; Hikami, Shinobu
Homepage: https://groups.oist.jp/mtpu/shinobu-hikami
Documents Indexed: 36 Publications since 1980, including 1 Book and 7 Additional arXiv Preprints
Co-Authors: 7 Co-Authors with 27 Joint Publications
52 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 317 times in 219 Documents Cited by Year
Characteristic polynomials of random matrices. Zbl 1042.82017
Brézin, Edouard; Hikami, Shinobu
79
2000
Correlations of nearby levels induced by a random potential. Zbl 0925.82117
Brézin, E.; Hikami, S.
47
1996
Vertices from replica in a random matrix theory. Zbl 1132.15020
Brézin, E.; Hikami, S.
32
2007
Characteristic polynomials of real symmetric random matrices. Zbl 0987.15012
Brézin, E.; Hikami, S.
29
2001
Intersection theory from duality and replica. Zbl 1152.14300
Brézin, E.; Hikami, S.
20
2008
Random matrix theory with an external source. Zbl 1455.60002
Brézin, Edouard; Hikami, Shinobu
18
2016
Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap. Zbl 1360.82084
Shimada, Hirohiko; Hikami, Shinobu
15
2016
On an Airy matrix model with a logarithmic potential. Zbl 1267.81265
Brézin, E.; Hikami, S.
11
2012
Duality and replicas for a unitary matrix model. Zbl 1290.81104
Brézin, E.; Hikami, S.
9
2010
Random matrix, singularities and open/close intersection numbers. Zbl 1335.60006
Brézin, E.; Hikami, S.
8
2015
WKB-expansion of the Harish-Chandra-Itzykson-Zuber integral for arbitrary \(\beta\). Zbl 1296.81027
Hikami, Shinobu; Brézin, Edouard
7
2006
The intersection numbers of the \(p\)-spin curves from random matrix theory. Zbl 1342.81514
Brézin, E.; Hikami, S.
6
2013
New correlation functions for random matrices and integrals over supergroups. Zbl 1066.82022
Brézin, E.; Hikami, S.
5
2003
An extension of the HarishChandra-Itzykson-Zuber integral. Zbl 1021.82011
Brézin, E.; Hikami, S.
5
2003
Conformal bootstrap analysis for single and branched polymers. Zbl 07408483
Hikami, S.
4
2018
Punctures and \(p\)-spin curves from matrix models. Zbl 1447.81173
Brézin, E.; Hikami, S.
3
2020
Random supermatrices with an external source. Zbl 1396.81188
Brézin, E.; Hikami, S.
3
2018
Renormalization group functions of orthogonal and symplectic nonlinear \(\sigma\) models. Zbl 1059.81581
Hikami, Shinobu
2
1980
Density of state in a complex random matrix theory with external source. Zbl 1041.82510
Hikami, S.; Pnini, R.
2
1998
Spectral form factor for time-dependent matrix model. Zbl 1461.81101
Mukherjee, Arkaprava; Hikami, Shinobu
2
2021
Punctures and \(p\)-spin curves from matrix models. II. Zbl 1467.81081
Hikami, S.; Brézin, E.
2
2021
Conformal bootstrap analysis for the Yang-Lee edge singularity. Zbl 07407910
Hikami, S.
2
2018
Instanton and superconductivity in supersymmetric CP\((N - 1)\) model. Zbl 1117.82336
Hikami, Shinobu; Yoshimoto, Takuro
1
2007
Characteristic polynomials. Zbl 1236.15065
Brézin, E.; Hikami, S.
1
2011
Nonlinear \(\sigma\) model of Grassmann manifold and nonabelian gauge field with scalar coupling. Zbl 1059.81561
Hikami, Shinobu
1
1980
Nonlinear \(\sigma\) models on symmetric spaces and large \(N\) limit. Zbl 1098.81542
Hikami, Shinobu; Maskawa, Toshihide
1
1982
Punctures and \(p\)-spin curves from matrix models. III: \(D_l\) type and logarithmic potential. Zbl 1498.81113
Hikami, Shinobu
1
2022
Dimensional reduction by conformal bootstrap. Zbl 1479.82113
Hikami, Shinobu
1
2019
Punctures and \(p\)-spin curves from matrix models. III: \(D_l\) type and logarithmic potential. Zbl 1498.81113
Hikami, Shinobu
1
2022
Spectral form factor for time-dependent matrix model. Zbl 1461.81101
Mukherjee, Arkaprava; Hikami, Shinobu
2
2021
Punctures and \(p\)-spin curves from matrix models. II. Zbl 1467.81081
Hikami, S.; Brézin, E.
2
2021
Punctures and \(p\)-spin curves from matrix models. Zbl 1447.81173
Brézin, E.; Hikami, S.
3
2020
Dimensional reduction by conformal bootstrap. Zbl 1479.82113
Hikami, Shinobu
1
2019
Conformal bootstrap analysis for single and branched polymers. Zbl 07408483
Hikami, S.
4
2018
Random supermatrices with an external source. Zbl 1396.81188
Brézin, E.; Hikami, S.
3
2018
Conformal bootstrap analysis for the Yang-Lee edge singularity. Zbl 07407910
Hikami, S.
2
2018
Random matrix theory with an external source. Zbl 1455.60002
Brézin, Edouard; Hikami, Shinobu
18
2016
Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap. Zbl 1360.82084
Shimada, Hirohiko; Hikami, Shinobu
15
2016
Random matrix, singularities and open/close intersection numbers. Zbl 1335.60006
Brézin, E.; Hikami, S.
8
2015
The intersection numbers of the \(p\)-spin curves from random matrix theory. Zbl 1342.81514
Brézin, E.; Hikami, S.
6
2013
On an Airy matrix model with a logarithmic potential. Zbl 1267.81265
Brézin, E.; Hikami, S.
11
2012
Characteristic polynomials. Zbl 1236.15065
Brézin, E.; Hikami, S.
1
2011
Duality and replicas for a unitary matrix model. Zbl 1290.81104
Brézin, E.; Hikami, S.
9
2010
Intersection theory from duality and replica. Zbl 1152.14300
Brézin, E.; Hikami, S.
20
2008
Vertices from replica in a random matrix theory. Zbl 1132.15020
Brézin, E.; Hikami, S.
32
2007
Instanton and superconductivity in supersymmetric CP\((N - 1)\) model. Zbl 1117.82336
Hikami, Shinobu; Yoshimoto, Takuro
1
2007
WKB-expansion of the Harish-Chandra-Itzykson-Zuber integral for arbitrary \(\beta\). Zbl 1296.81027
Hikami, Shinobu; Brézin, Edouard
7
2006
New correlation functions for random matrices and integrals over supergroups. Zbl 1066.82022
Brézin, E.; Hikami, S.
5
2003
An extension of the HarishChandra-Itzykson-Zuber integral. Zbl 1021.82011
Brézin, E.; Hikami, S.
5
2003
Characteristic polynomials of real symmetric random matrices. Zbl 0987.15012
Brézin, E.; Hikami, S.
29
2001
Characteristic polynomials of random matrices. Zbl 1042.82017
Brézin, Edouard; Hikami, Shinobu
79
2000
Density of state in a complex random matrix theory with external source. Zbl 1041.82510
Hikami, S.; Pnini, R.
2
1998
Correlations of nearby levels induced by a random potential. Zbl 0925.82117
Brézin, E.; Hikami, S.
47
1996
Nonlinear \(\sigma\) models on symmetric spaces and large \(N\) limit. Zbl 1098.81542
Hikami, Shinobu; Maskawa, Toshihide
1
1982
Renormalization group functions of orthogonal and symplectic nonlinear \(\sigma\) models. Zbl 1059.81581
Hikami, Shinobu
2
1980
Nonlinear \(\sigma\) model of Grassmann manifold and nonabelian gauge field with scalar coupling. Zbl 1059.81561
Hikami, Shinobu
1
1980
all top 5

Cited by 300 Authors

9 Fyodorov, Yan V.
8 Hikami, Shinobu
8 Strahov, Eugene
7 Shcherbina, Tatyana
6 Bertola, Marco
6 Brézin, Edouard
6 Forrester, Peter J.
6 Okuyama, Kazumi
6 Péché, Sandrine
5 Erdős, László
5 Kösters, Holger
5 Yau, Horng-Tzer
4 Alexandrov, Alexander Sergeevich
4 Bleher, Pavel M.
4 Clarkson, Peter A.
4 Cotler, Jordan S.
4 Desrosiers, Patrick
4 Eynard, Bertrand
4 Kimura, Taro
4 Kuijlaars, Arno B. J.
4 Tierz, Miguel
4 Troost, Jan
3 Adler, Mark
3 Chekhov, Leonid O.
3 Harnad, John
3 Hunter-Jones, Nicholas
3 Morozov, Alexei Yurievich
3 Sakai, Kazuhiro
3 Schlein, Benjamin
3 van Moerbeke, Pierre
3 Wang, Dong
3 Zuber, Jean-Bernard
2 Abhignan, Venkat
2 Afanasiev, Ievgenii
2 Akemann, Gernot
2 Andersen, Jørgen Ellegaard
2 Aptekarev, Alexander Ivanovich
2 Ashok, Sujay K.
2 Buckingham, Robert J.
2 Cafasso, Mattia
2 Charlier, Christophe
2 Claeys, Tom
2 Coquereaux, Robert
2 Delvaux, Steven
2 Dey, Parijat
2 Dubrovin, Boris Anatol’evich
2 Fahs, Benjamin
2 Götze, Friedrich
2 Grela, Jacek
2 Guionnet, Alice
2 Iizuka, Norihiro
2 Itoyama, Hiroshi
2 Jonnadula, Bhargavi
2 Kaviraj, Apratim
2 Keating, Jonathan Peter
2 Kettemann, Stefan
2 Kieburg, Mario
2 Koyama, Shin-ya
2 Kozhan, Rostyslav V.
2 Kurokawa, Nobushige
2 Lee, Kyu-Hwan
2 Lee, Seung-Yeop
2 Liechty, Karl
2 Liu, Dangzheng
2 Liu, Junyu
2 Mezzadri, Francesco
2 Mironov, Andrei D.
2 Norbury, Paul T.
2 Oh, Se-jin
2 Orlov, Aleksandr Yu.
2 Penner, Robert C.
2 Pierce, Virgil U.
2 Rosengren, Hjalmar
2 Santilli, Leonardo
2 Snaith, Nina Claire
2 Yang, Di
2 Yin, Jun
1 Afkhami-Jeddi, Nima
1 Ahn, Andrew C.
1 Aizenman, Michael
1 Alpan, Gökalp
1 Anegawa, Takanori
1 Ashmore, Anthony
1 Bagaev, A. A.
1 Baik, Jinho
1 Balasubramanian, Vijay
1 Banerjee, Samprit
1 Bargheer, Till
1 Basser, Peter J.
1 Ben Saïd, Salem
1 Bhatt, R. N.
1 Bhattacharjee, Budhaditya
1 Bhattacharyya, Arpan
1 Binder, Damon J.
1 Blass, Timothy
1 Borodin, Alexei
1 Bouchard, Vincent
1 Breuer, Jonathan
1 Bump, Daniel
1 Buryak, Alexandr Y.
...and 200 more Authors
all top 5

Cited in 62 Serials

44 Journal of High Energy Physics
18 Communications in Mathematical Physics
18 Journal of Mathematical Physics
18 Journal of Statistical Physics
10 Journal of Physics A: Mathematical and Theoretical
8 Nuclear Physics. B
5 Letters in Mathematical Physics
5 Advances in Mathematics
5 Journal of Statistical Mechanics: Theory and Experiment
4 Theoretical and Mathematical Physics
4 Journal of Approximation Theory
4 Physica D
4 Probability Theory and Related Fields
4 Random Matrices: Theory and Applications
3 Journal of Multivariate Analysis
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 International Journal of Modern Physics A
2 Communications on Pure and Applied Mathematics
2 Physics Letters. B
2 Physics Reports
2 Journal of Geometry and Physics
2 Glasgow Mathematical Journal
2 Journal of Combinatorial Theory. Series A
2 Journal of Functional Analysis
2 Studies in Applied Mathematics
2 The Annals of Applied Probability
2 Annals of Physics
2 Annales Henri Poincaré
1 Journal of Mathematical Analysis and Applications
1 Physica A
1 Physics Letters. A
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Inventiones Mathematicae
1 Journal of Number Theory
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Statistical Planning and Inference
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Advances in Applied Mathematics
1 Statistics & Probability Letters
1 Constructive Approximation
1 Journal of Theoretical Probability
1 Automation and Remote Control
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 St. Petersburg Mathematical Journal
1 Electronic Journal of Probability
1 The Ramanujan Journal
1 Algebras and Representation Theory
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Nonlinear Analysis. Real World Applications
1 Milan Journal of Mathematics
1 Central European Journal of Mathematics
1 Analysis and Applications (Singapore)
1 Journal of Mathematical Physics, Analysis, Geometry
1 SIAM Journal on Imaging Sciences
1 Probability Surveys
1 Journal de l’École Polytechnique – Mathématiques
1 Probability and Mathematical Physics
all top 5

Cited in 39 Fields

95 Linear and multilinear algebra; matrix theory (15-XX)
88 Probability theory and stochastic processes (60-XX)
79 Quantum theory (81-XX)
52 Statistical mechanics, structure of matter (82-XX)
32 Special functions (33-XX)
26 Statistics (62-XX)
26 Relativity and gravitational theory (83-XX)
19 Algebraic geometry (14-XX)
15 Combinatorics (05-XX)
15 Partial differential equations (35-XX)
14 Dynamical systems and ergodic theory (37-XX)
12 Number theory (11-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Nonassociative rings and algebras (17-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Differential geometry (53-XX)
6 Operator theory (47-XX)
6 Manifolds and cell complexes (57-XX)
5 Functions of a complex variable (30-XX)
5 Mechanics of particles and systems (70-XX)
4 Topological groups, Lie groups (22-XX)
4 Ordinary differential equations (34-XX)
4 Abstract harmonic analysis (43-XX)
2 Difference and functional equations (39-XX)
2 Functional analysis (46-XX)
2 Convex and discrete geometry (52-XX)
2 Computer science (68-XX)
2 Fluid mechanics (76-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Numerical analysis (65-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year