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## Trinh Khanh Duy

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 Author ID: trinh-khanh-duy. Published as: Trinh, Khanh Duy; Duy, Trinh Khanh; Trinh, H.; Trinh Khanh Duy Homepage: http://www.imi.kyushu-u.ac.jp/eng/academic_staffs/view/139 External Links: ORCID
 Documents Indexed: 21 Publications since 2007 Reviewing Activity: 2 Reviews
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#### Co-Authors

 10 single-authored 2 Nakano, Fumihiko 2 Nguyen Huu Du 2 Shirai, Tomoyuki 2 Viet, Vu Tien 1 Goel, Akshay 1 Hiraoka, Yasuaki 1 Loi, Le Cong 1 Takanobu, Satoshi 1 Tran, Trung Dinh 1 Trinh, Hoang Dung 1 Tsunoda, Kenkichi
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#### Serials

 4 Osaka Journal of Mathematics 3 Journal of Statistical Physics 2 Lithuanian Mathematical Journal 2 Electronic Communications in Probability 2 RIMS Kôkyûroku Bessatsu 1 IEEE Transactions on Automatic Control 1 Journal of Theoretical Probability 1 The Annals of Applied Probability 1 Linear Algebra and its Applications 1 Stochastic Processes and their Applications 1 Mathematical Problems in Engineering 1 Stochastics and Dynamics 1 Pacific Journal of Mathematics for Industry
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#### Fields

 16 Probability theory and stochastic processes (60-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Algebraic topology (55-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

17 Publications have been cited 67 times in 38 Documents Cited by Year
The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles. Zbl 1329.47038
Trinh Khanh Duy; Shirai, Tomoyuki
2015
Disturbance decoupled observers for systems with unknown inputs. Zbl 1367.93099
Trinh, H.; Tran, Trung Dinh; Fernando, T.
2008
Limit theorems for persistence diagrams. Zbl 1402.60059
Hiraoka, Yasuaki; Shirai, Tomoyuki; Trinh, Khanh Duy
2018
Gaussian beta ensembles at high temperature: eigenvalue fluctuations and bulk statistics. Zbl 1403.60013
Nakano, Fumihiko; Trinh, Khanh Duy
2018
On spectral measures of random Jacobi matrices. Zbl 1404.60011
Duy, Trinh Khanh
2018
On convergence of Fourier series of Besicovitch almost periodic functions. Zbl 1279.42006
Trinh, Khanh Duy
2013
A remark on the convergence of Betti numbers in the thermodynamic regime. Zbl 1383.60043
Trinh, Khanh Duy
2017
Degenerate cocycle with index-1 and Lyapunov exponents. Zbl 1127.65093
Du, Nguyen Huu; Duy, Trinh Khanh; Viet, Vu Tien
2007
Strong law of large numbers for Betti numbers in the thermodynamic regime. Zbl 1442.60020
Goel, Akshay; Trinh, Khanh Duy; Tsunoda, Kenkichi
2019
Limit-periodic arithmetical functions and the ring of finite integral adeles. Zbl 1294.11136
Trinh, Khanh Duy
2011
On the distribution of $$k$$-th power free integers. Zbl 1246.11160
Trinh, Khanh Duy
2011
Global spectrum fluctuations for Gaussian beta ensembles: a martingale approach. Zbl 1447.60030
Trinh, Khanh Duy
2019
On central limit theorems in stochastic geometry for add-one cost stabilizing functionals. Zbl 1428.60043
Trinh, Khanh Duy
2019
Poisson statistics for beta ensembles on the real line at high temperature. Zbl 1437.60014
Nakano, Fumihiko; Trinh, Khanh Duy
2020
Remarks on value distributions of general Dirichlet series. Zbl 1306.11071
Duy, Trinh Khanh
2012
On the distribution of $$k$$-th power free integers. II. Zbl 1304.11108
Trinh, Khanh Duy; Takanobu, Satoshi
2013
On index-2 linear implicit difference equations. Zbl 1206.39004
Du, Nguyen Huu; Loi, Le Cong; Duy, Trinh Khanh; Viet, Vu Tien
2011
Poisson statistics for beta ensembles on the real line at high temperature. Zbl 1437.60014
Nakano, Fumihiko; Trinh, Khanh Duy
2020
Strong law of large numbers for Betti numbers in the thermodynamic regime. Zbl 1442.60020
Goel, Akshay; Trinh, Khanh Duy; Tsunoda, Kenkichi
2019
Global spectrum fluctuations for Gaussian beta ensembles: a martingale approach. Zbl 1447.60030
Trinh, Khanh Duy
2019
On central limit theorems in stochastic geometry for add-one cost stabilizing functionals. Zbl 1428.60043
Trinh, Khanh Duy
2019
Limit theorems for persistence diagrams. Zbl 1402.60059
Hiraoka, Yasuaki; Shirai, Tomoyuki; Trinh, Khanh Duy
2018
Gaussian beta ensembles at high temperature: eigenvalue fluctuations and bulk statistics. Zbl 1403.60013
Nakano, Fumihiko; Trinh, Khanh Duy
2018
On spectral measures of random Jacobi matrices. Zbl 1404.60011
Duy, Trinh Khanh
2018
A remark on the convergence of Betti numbers in the thermodynamic regime. Zbl 1383.60043
Trinh, Khanh Duy
2017
The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles. Zbl 1329.47038
Trinh Khanh Duy; Shirai, Tomoyuki
2015
On convergence of Fourier series of Besicovitch almost periodic functions. Zbl 1279.42006
Trinh, Khanh Duy
2013
On the distribution of $$k$$-th power free integers. II. Zbl 1304.11108
Trinh, Khanh Duy; Takanobu, Satoshi
2013
Remarks on value distributions of general Dirichlet series. Zbl 1306.11071
Duy, Trinh Khanh
2012
Limit-periodic arithmetical functions and the ring of finite integral adeles. Zbl 1294.11136
Trinh, Khanh Duy
2011
On the distribution of $$k$$-th power free integers. Zbl 1246.11160
Trinh, Khanh Duy
2011
On index-2 linear implicit difference equations. Zbl 1206.39004
Du, Nguyen Huu; Loi, Le Cong; Duy, Trinh Khanh; Viet, Vu Tien
2011
Disturbance decoupled observers for systems with unknown inputs. Zbl 1367.93099
Trinh, H.; Tran, Trung Dinh; Fernando, T.
2008
Degenerate cocycle with index-1 and Lyapunov exponents. Zbl 1127.65093
Du, Nguyen Huu; Duy, Trinh Khanh; Viet, Vu Tien
2007
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#### Cited by 49 Authors

 10 Trinh Khanh Duy 4 Defant, Andreas 4 Schoolmann, Ingo 2 Bobrowski, Omer 2 Hasil, Petr 2 Hiraoka, Yasuaki 2 Lambert, Gaultier 2 Nakano, Fumihiko 2 Owada, Takashi 2 Pakzad, Cambyse 2 Thuan, Do Duc 2 Tsunoda, Kenkichi 2 Vesely, Michal 1 Akemann, Gernot 1 Avdeeva, Maria 1 Bahadir, Selim 1 Benaych-Georges, Florent 1 Berman, Robert J. 1 Biscio, Christophe Ange Napoléon 1 Byun, Sung-Soo 1 Carando, Daniel G. 1 Cellarosi, Francesco 1 Ceyhan, Elvan 1 Chachólski, Wojciech 1 Chenavier, Nicolas 1 Divol, Vincent 1 Goel, Akshay 1 Ha, Nguyen Thu 1 Hardy, Adrien 1 Hirsch, Christian 1 Kahle, Matthew 1 Liem, Nguyen Chi 1 Loi, Le Cong 1 López García, Abey 1 Marceca, Felipe 1 Nguyen Huu Du 1 Nguyen, Khong Chi 1 Péché, Sandrine 1 Polonik, Wolfgang 1 Prokhorov, Vasily A. 1 Riihimäki, Henri 1 Shirai, Tomoyuki 1 Sinaĭ, Yakov Grigor’evich 1 Son, Nguyen Hong 1 Spohn, Herbert 1 Svane, Anne Marie 1 Takanobu, Satoshi 1 Thomas, Andrew M. 1 Trinh, Hoang Dung
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#### Cited in 26 Serials

 6 Journal of Statistical Physics 2 Lithuanian Mathematical Journal 2 Journal of Functional Analysis 2 Discrete & Computational Geometry 2 Journal of Theoretical Probability 2 Journal of Difference Equations and Applications 2 Journal of Applied and Computational Topology 1 Advances in Applied Probability 1 Studia Mathematica 1 Theory of Probability and its Applications 1 Acta Mathematica Vietnamica 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 Mathematische Annalen 1 Mathematica Slovaca 1 Osaka Journal of Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 The Annals of Applied Probability 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Electronic Communications in Probability 1 Bernoulli 1 Vietnam Journal of Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Electronic Journal of Statistics 1 SIAM Journal on Applied Algebra and Geometry
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#### Cited in 18 Fields

 26 Probability theory and stochastic processes (60-XX) 8 Algebraic topology (55-XX) 4 Number theory (11-XX) 4 Functions of a complex variable (30-XX) 4 Statistics (62-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 2 Several complex variables and analytic spaces (32-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)