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## Shirai, Tomoyuki

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 Author ID: shirai.tomoyuki Published as: Shirai, Tomoyuki Homepage: http://imi.kyushu-u.ac.jp/~shirai/index-eng.html External Links: MGP · ORCID · dblp
 Documents Indexed: 45 Publications since 1998, including 3 Books
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#### Co-Authors

 11 single-authored 8 Higuchi, Yusuke 4 Hiraoka, Yasuaki 4 Takahashi, Yoichiro 3 Miyoshi, Naoto 2 Kotani, Motoko 2 Ochiai, Hiroyuki 2 Ohwa, Takuya 2 Osada, Hirofumi 2 Sunada, Toshikazu 2 Trinh Khanh Duy 1 Bufetov, Aleksandr Igorevich 1 Ei, Shin-Ichiro 1 Hamana, Yuji 1 Hiroshima, Fumio 1 Katori, Makoto 1 Koiso, Miyuki 1 Matsumoto, Hiroyuki 1 Matsumoto, Sho 1 Nishii, Ryuei 1 Okada, Kanzo 1 Osogami, Takayuki 1 Saito, Shingo 1 Sasaki, Itaru 1 Suzuki, Akito 1 Verbitskiy, Evgeny A. 1 Waki, Hayato 1 Yoo, Hyun Jae
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#### Serials

 4 RIMS Kôkyûroku Bessatsu 3 Journal of Functional Analysis 3 Journal of Math-for-Industry 2 Journal of Statistical Physics 2 Journal of the Mathematical Society of Japan 2 Nagoya Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Kyushu Journal of Mathematics 1 Advances in Applied Probability 1 The Annals of Probability 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Yokohama Mathematical Journal 1 Probability and Mathematical Statistics 1 Probability Theory and Related Fields 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 Indagationes Mathematicae. New Series 1 Potential Analysis 1 Opuscula Mathematica 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 RIMS Kokyuroku 1 Interdisciplinary Information Sciences (IIS) 1 Contemporary Mathematics 1 MI Lecture Note 1 Mathematics for Industry
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#### Fields

 25 Probability theory and stochastic processes (60-XX) 11 Combinatorics (05-XX) 7 Operator theory (47-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

35 Publications have been cited 395 times in 263 Documents Cited by Year
Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes. Zbl 1051.60052
Shirai, Tomoyuki; Takahashi, Yoichiro
2003
Random point fields associated with certain Fredholm determinants. II: Fermion shifts and their ergodic and Gibbs properties. Zbl 1051.60053
Shirai, Tomoyuki; Takahashi, Yoichiro
2003
The spectrum of infinite regular line graphs. Zbl 0931.05048
Shirai, Tomoyuki
2000
Some spectral and geometric properties for infinite graphs. Zbl 1079.47035
Higuchi, Yusuke; Shirai, Tomoyuki
2004
Asymptotic behavior of the transition probability of a random walk on an infinite graph. Zbl 0932.60052
Kotani, Motoko; Shirai, Tomoyuki; Sunada, Toshikazu
1998
Isoperimetric constants of $$(d,f)$$-regular planar graphs. Zbl 1048.05030
Higuchi, Yusuke; Shirai, Tomoyuki
2003
Note on the spectrum of discrete Schrödinger operators. Zbl 1302.47077
Hiroshima, Fumio; Sasaki, Itaru; Shirai, Tomoyuki; Suzuki, Akito
2012
Fermion process and Fredholm determinant. Zbl 1036.60045
Shirai, Tomoyuki; Takahashi, Yoichiro
2000
The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles. Zbl 1329.47038
Trinh Khanh Duy; Shirai, Tomoyuki
2015
The spectrum of magnetic Schrödinger operators on a graph with periodic structure. Zbl 1073.47517
Higuchi, Yusuke; Shirai, Tomoyuki
1999
A cellular network model with Ginibre configured base stations. Zbl 1330.60066
Miyoshi, Naoto; Shirai, Tomoyuki
2014
Absolute continuity and singularity of palm measures of the Ginibre point process. Zbl 1344.60042
2016
Weak Bloch property for discrete magnetic Schrödinger operators. Zbl 0985.58011
Higuchi, Yusuke; Shirai, Tomoyuki
2001
Large deviations for the Fermion point process associated with the exponential kernel. Zbl 1110.60051
Shirai, Tomoyuki
2006
Limit theorems for random analytic functions and their zeros. Zbl 1276.60040
Shirai, Tomoyuki
2012
Minimum spanning acycle and lifetime of persistent homology in the Linial-Meshulam process. Zbl 1370.05190
Hiraoka, Yasuaki; Shirai, Tomoyuki
2017
Limit theorems for persistence diagrams. Zbl 1402.60059
Hiraoka, Yasuaki; Shirai, Tomoyuki; Trinh, Khanh Duy
2018
Glauber dynamics for fermion point processes. Zbl 1029.82025
Shirai, Tomoyuki; Yoo, Hyun Jae
2002
Ginibre-type point processes and their asymptotic behavior. Zbl 1319.60102
Shirai, Tomoyuki
2015
A remark on the spectrum of magnetic Laplacian on a graph. Zbl 0953.58028
Higuchi, Yusuke; Shirai, Tomoyuki
1999
Cellular networks with $$\alpha$$-Ginibre configurated base stations. Zbl 1344.60050
Miyoshi, Naoto; Shirai, Tomoyuki
2014
Remarks on the positivity of $$\alpha$$-determinants. Zbl 1136.15005
Shirai, Tomoyuki
2007
Variance of the linear statistics of the Ginibre random point field. Zbl 1143.62056
2008
Correlation functions for zeros of a Gaussian power series and Pfaffians. Zbl 1291.60102
Matsumoto, Sho; Shirai, Tomoyuki
2013
Random point fields associated with fermion, boson and other statistics. Zbl 1095.60012
Shirai, Tomoyuki; Takahashi, Yoichiro
2004
Asymptotic behavior of the transition probability of a simple random walk on a line graph. Zbl 0957.60049
Shirai, Tomoyuki
2000
A trace formula for discrete Schrödinger operators. Zbl 0974.47030
Shirai, Tomoyuki
1998
Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces. Zbl 1371.60086
Bufetov, Alexander Igorevich; Shirai, Tomoyuki
2017
Tutte polynomials and random-cluster models in Bernoulli cell complexes. Zbl 1373.60020
Hiraoka, Yasuaki; Shirai, Tomoyuki
2016
A factorization of determinant related to some random matrices. Zbl 0922.34072
Shirai, Tomoyuki
1998
Long time behavior of the transition probability of a random walk with drift on an Abelian covering graph. Zbl 1046.60044
Shirai, Tomoyuki
2003
Remarks on positivity of $$\alpha$$-determinants via SDP relaxation. Zbl 1298.90066
Osogami, Takayuki; Shirai, Tomoyuki; Waki, Hayato
2013
Joint distribution of the cover time and the last visited point of finite Markov chains. Zbl 1176.60065
Ohwa, Takuya; Shirai, Tomoyuki
2008
A remark on monotonicity for the Glauber dynamics on finite graphs. Zbl 1192.82050
Shirai, Tomoyuki
2010
Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models. Zbl 1393.60052
Miyoshi, Naoto; Shirai, Tomoyuki
2017
Limit theorems for persistence diagrams. Zbl 1402.60059
Hiraoka, Yasuaki; Shirai, Tomoyuki; Trinh, Khanh Duy
2018
Minimum spanning acycle and lifetime of persistent homology in the Linial-Meshulam process. Zbl 1370.05190
Hiraoka, Yasuaki; Shirai, Tomoyuki
2017
Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces. Zbl 1371.60086
Bufetov, Alexander Igorevich; Shirai, Tomoyuki
2017
Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models. Zbl 1393.60052
Miyoshi, Naoto; Shirai, Tomoyuki
2017
Absolute continuity and singularity of palm measures of the Ginibre point process. Zbl 1344.60042
2016
Tutte polynomials and random-cluster models in Bernoulli cell complexes. Zbl 1373.60020
Hiraoka, Yasuaki; Shirai, Tomoyuki
2016
The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles. Zbl 1329.47038
Trinh Khanh Duy; Shirai, Tomoyuki
2015
Ginibre-type point processes and their asymptotic behavior. Zbl 1319.60102
Shirai, Tomoyuki
2015
A cellular network model with Ginibre configured base stations. Zbl 1330.60066
Miyoshi, Naoto; Shirai, Tomoyuki
2014
Cellular networks with $$\alpha$$-Ginibre configurated base stations. Zbl 1344.60050
Miyoshi, Naoto; Shirai, Tomoyuki
2014
Correlation functions for zeros of a Gaussian power series and Pfaffians. Zbl 1291.60102
Matsumoto, Sho; Shirai, Tomoyuki
2013
Remarks on positivity of $$\alpha$$-determinants via SDP relaxation. Zbl 1298.90066
Osogami, Takayuki; Shirai, Tomoyuki; Waki, Hayato
2013
Note on the spectrum of discrete Schrödinger operators. Zbl 1302.47077
Hiroshima, Fumio; Sasaki, Itaru; Shirai, Tomoyuki; Suzuki, Akito
2012
Limit theorems for random analytic functions and their zeros. Zbl 1276.60040
Shirai, Tomoyuki
2012
A remark on monotonicity for the Glauber dynamics on finite graphs. Zbl 1192.82050
Shirai, Tomoyuki
2010
Variance of the linear statistics of the Ginibre random point field. Zbl 1143.62056
2008
Joint distribution of the cover time and the last visited point of finite Markov chains. Zbl 1176.60065
Ohwa, Takuya; Shirai, Tomoyuki
2008
Remarks on the positivity of $$\alpha$$-determinants. Zbl 1136.15005
Shirai, Tomoyuki
2007
Large deviations for the Fermion point process associated with the exponential kernel. Zbl 1110.60051
Shirai, Tomoyuki
2006
Some spectral and geometric properties for infinite graphs. Zbl 1079.47035
Higuchi, Yusuke; Shirai, Tomoyuki
2004
Random point fields associated with fermion, boson and other statistics. Zbl 1095.60012
Shirai, Tomoyuki; Takahashi, Yoichiro
2004
Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes. Zbl 1051.60052
Shirai, Tomoyuki; Takahashi, Yoichiro
2003
Random point fields associated with certain Fredholm determinants. II: Fermion shifts and their ergodic and Gibbs properties. Zbl 1051.60053
Shirai, Tomoyuki; Takahashi, Yoichiro
2003
Isoperimetric constants of $$(d,f)$$-regular planar graphs. Zbl 1048.05030
Higuchi, Yusuke; Shirai, Tomoyuki
2003
Long time behavior of the transition probability of a random walk with drift on an Abelian covering graph. Zbl 1046.60044
Shirai, Tomoyuki
2003
Glauber dynamics for fermion point processes. Zbl 1029.82025
Shirai, Tomoyuki; Yoo, Hyun Jae
2002
Weak Bloch property for discrete magnetic Schrödinger operators. Zbl 0985.58011
Higuchi, Yusuke; Shirai, Tomoyuki
2001
The spectrum of infinite regular line graphs. Zbl 0931.05048
Shirai, Tomoyuki
2000
Fermion process and Fredholm determinant. Zbl 1036.60045
Shirai, Tomoyuki; Takahashi, Yoichiro
2000
Asymptotic behavior of the transition probability of a simple random walk on a line graph. Zbl 0957.60049
Shirai, Tomoyuki
2000
The spectrum of magnetic Schrödinger operators on a graph with periodic structure. Zbl 1073.47517
Higuchi, Yusuke; Shirai, Tomoyuki
1999
A remark on the spectrum of magnetic Laplacian on a graph. Zbl 0953.58028
Higuchi, Yusuke; Shirai, Tomoyuki
1999
Asymptotic behavior of the transition probability of a random walk on an infinite graph. Zbl 0932.60052
Kotani, Motoko; Shirai, Tomoyuki; Sunada, Toshikazu
1998
A trace formula for discrete Schrödinger operators. Zbl 0974.47030
Shirai, Tomoyuki
1998
A factorization of determinant related to some random matrices. Zbl 0922.34072
Shirai, Tomoyuki
1998
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#### Cited by 285 Authors

 15 Shirai, Tomoyuki 13 Bufetov, Aleksandr Igorevich 13 Katori, Makoto 10 Korotyaev, Evgeny L. 10 Osada, Hirofumi 10 Qiu, Yanqi 10 Saburova, Natalia 8 Yoo, Hyun Jae 7 Higuchi, Yusuke 7 Tanemura, Hideki 7 Trinh Khanh Duy 6 Lavancier, Frédéric 5 Keller, Matthias 5 Kotani, Motoko 5 Tamura, Hiroshi 4 Biscio, Christophe Ange Napoléon 4 Decreusefond, Laurent 4 Ghosh, Subhroshekhar 4 Isozaki, Hiroshi 4 Kimoto, Kazufumi 4 Lebowitz, Joel Louis 4 Owada, Takashi 4 Segawa, Etsuo 4 Wakayama, Masato 3 Ando, Kazunori 3 Flint, Ian 3 Hua, Bobo 3 Ishiwata, Satoshi 3 Ito, Keiichi R. 3 Kabluchko, Zakhar A. 3 Kawabi, Hiroshi 3 Klein, Douglas J. 3 Lyons, Russell 3 Lytvynov, Eugene W. 3 Matsumoto, Sho 3 Miyoshi, Naoto 3 Morioka, Hisashi 3 Nakano, Fumihiko 3 Nehring, Benjamin 3 Nomura, Yuji 3 Ol’shanskiĭ, Grigoriĭ Iosifovich 3 Post, Olaf 3 Strichartz, Robert S. 3 Sunada, Toshikazu 3 Takahashi, Yoichiro 2 Bahls, Patrick 2 Bobrowski, Omer 2 Bordenave, Charles 2 Capitaine, Mireille 2 Cho, Ilwoo 2 Clarenne, Adrien 2 Eisenbaum, Nathalie 2 Flasche, Hendrik 2 Forrester, Peter J. 2 Fyodorov, Yan V. 2 Golénia, Sylvain 2 Hinz, Michael 2 Hiraoka, Yasuaki 2 Jørgensen, Palle E. T. 2 Ko, Chul Ki 2 Konno, Norio 2 Lakaev, Shukhrat Saidakhmatovich 2 McCullagh, Peter 2 Mouayn, Zouhaïr 2 Muminov, Zahriddin Ishkobilovich 2 Namba, Ryuya 2 Oh, Byung-Geun 2 O’Reilly, Eliza 2 Pakzad, Cambyse 2 Parra, Daniel 2 Peyerimhoff, Norbert 2 Platonova, Mariya V. 2 Privault, Nicolas 2 Ryadovkin, K. S. 2 Sato, Iwao 2 Sharma, Basant Lal 2 Su, Yanhui 2 Suzuki, Akito 2 Takahashi, Yuta 2 Teplyaev, Alexander 2 Tsunoda, Kenkichi 2 Virág, Bálint 2 Yan, Weigen 2 Yogeshwaran, Dhandapani 2 Zagrebnov, Valentin A. 2 Zessin, Hans N. 2 Zhang, Fuji 1 Abreu, Luís Daniel 1 Accardi, Luigi 1 Adhikari, Kartick 1 Adler, Robert Joseph 1 Akama, Yohji 1 Akemann, Gernot 1 Alladustov, Sh. U. 1 Alladustov, Shukhrat 1 Athmouni, Nassim 1 Baake, Michael 1 Baccelli, François Louis 1 Baloudi, Hatem 1 Bardenet, Rémi ...and 185 more Authors
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#### Cited in 108 Serials

 19 Journal of Statistical Physics 13 Journal of Functional Analysis 10 Journal of Mathematical Physics 9 Probability Theory and Related Fields 9 Stochastic Processes and their Applications 7 Communications in Mathematical Physics 7 Journal of Mathematical Analysis and Applications 7 The Annals of Probability 7 Annales Henri Poincaré 6 Journal of Applied Probability 6 Journal of Theoretical Probability 6 Linear Algebra and its Applications 5 Bernoulli 4 Journal of the Mathematical Society of Japan 4 Transactions of the American Mathematical Society 4 Discrete & Computational Geometry 4 The Annals of Applied Probability 3 Advances in Applied Probability 3 Discrete Mathematics 3 Advances in Mathematics 3 Mathematische Zeitschrift 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Electronic Journal of Probability 3 Electronic Communications in Probability 3 Electronic Journal of Statistics 2 Discrete Applied Mathematics 2 Letters in Mathematical Physics 2 Nuclear Physics. B 2 Rocky Mountain Journal of Mathematics 2 Reviews in Mathematical Physics 2 Duke Mathematical Journal 2 Journal of Combinatorial Theory. Series A 2 Mathematische Annalen 2 Nagoya Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 Advances in Applied Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Potential Analysis 2 Journal of Mathematical Sciences (New York) 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Quantum Information Processing 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Complex Analysis and Operator Theory 2 Operators and Matrices 2 Pacific Journal of Mathematics for Industry 2 Journal of Applied and Computational Topology 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Metrika 1 Reports on Mathematical Physics 1 Scandinavian Journal of Statistics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Theory of Probability and its Applications 1 Acta Mathematica 1 Annales Polonici Mathematici 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Integral Equations and Operator Theory 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of Graph Theory 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 SIAM Journal on Control and Optimization 1 Tohoku Mathematical Journal. Second Series 1 European Journal of Combinatorics 1 Statistics & Probability Letters 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Constructive Approximation 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 SIAM Journal on Applied Mathematics 1 St. Petersburg Mathematical Journal 1 Kyushu Journal of Mathematics 1 Journal of Difference Equations and Applications 1 Documenta Mathematica 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of Inequalities and Applications 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Journal of Applied Mathematics 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Inverse Problems and Imaging ...and 8 more Serials
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#### Cited in 46 Fields

 164 Probability theory and stochastic processes (60-XX) 61 Combinatorics (05-XX) 56 Statistical mechanics, structure of matter (82-XX) 33 Operator theory (47-XX) 30 Quantum theory (81-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 20 Partial differential equations (35-XX) 15 Statistics (62-XX) 13 Difference and functional equations (39-XX) 13 Functional analysis (46-XX) 13 Algebraic topology (55-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Measure and integration (28-XX) 9 Functions of a complex variable (30-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Special functions (33-XX) 6 Numerical analysis (65-XX) 5 Ordinary differential equations (34-XX) 5 Convex and discrete geometry (52-XX) 4 Nonassociative rings and algebras (17-XX) 4 Potential theory (31-XX) 4 Operations research, mathematical programming (90-XX) 3 Group theory and generalizations (20-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)