Research Institute

20202022
理工学術院総合研究所 兼任研究員
Details of a Researcher
Updated on 2022/01/25
理工学術院総合研究所 兼任研究員
Waseda University Global Center for Science and Engineering Associate Professor (without tenure)
Research Alliance Center for Mathematical Sciences, Tohoku University, Japan Associate Professor
Institute of Mathematics for Industry, Kyushu University, Japan Assistant Professor
Department of Mathematics, Graduate School of Science, Osaka University, Japan Research Fellow of the Japan Society for the Promotion of Science
Basic analysis Probability theory and applied probability
Beta Laguerre processes in a high temperature regime
Hoang Dung Trinh, Khanh Duy Trinh
Stochastic Processes and their Applications 136 192  205 2021.06
Beta Laguerre ensembles in global regime
Hoang Dung Trinh, Khanh Duy Trinh
Osaka J. Math. 58 ( 2 ) 435  450 2021.04 [Refereed]
Poisson Statistics for Beta Ensembles on the Real Line at High Temperature
Fumihiko Nakano, Khanh Duy Trinh
Journal of Statistical Physics 179 ( 2 ) 632  649 2020.04
On central limit theorems in stochastic geometry for addone cost stabilizing functionals
Khanh Duy Trinh
Electronic Communications in Probability 24 ( none ) 2019.12
Global Spectrum Fluctuations for Gaussian Beta Ensembles: A Martingale Approach
Khanh Duy Trinh
Journal of Theoretical Probability 32 ( 3 ) 1420  1437 2019.09
Strong Law of Large Numbers for Betti Numbers in the Thermodynamic Regime
Akshay Goel, Khanh Duy Trinh, Kenkichi Tsunoda
JOURNAL OF STATISTICAL PHYSICS 174 ( 4 ) 865  892 2019.02 [Refereed]
Gaussian Beta Ensembles at High Temperature: Eigenvalue Fluctuations and Bulk Statistics
Fumihiko Nakano, Khanh Duy Trinh
Journal of Statistical Physics 173 ( 2 ) 295  321 2018.10 [Refereed]
On spectral measures of random Jacobi matrices
Khanh Duy Trinh
Osaka J. Math. 55 ( 4 ) 595  617 2018.10 [Refereed]
Limit theorems for persistence diagrams
Yasuaki Hiraoka, Tomoyuki Shirai, Khanh Duy Trinh
Ann. Appl. Probab. 28 ( 5 ) 2740  2780 2018.10 [Refereed]
A remark on the convergence of Betti numbers in the thermodynamic regime
Khanh Duy Trinh
Pac. J. Math. Ind. 9 ( 4 ) 1  7 2017.03 [Refereed]
Distributions of the determinants of Gaussian beta ensembles
Khanh Duy Trinh
RIMS Kôkyûroku 2023 77  85 2017
CENTRAL LIMIT THEOREM FOR MOMENTS OF SPECTRAL MEASURES OF WIGNER MATRICES
Trinh Khanh Duy
OSAKA JOURNAL OF MATHEMATICS 53 ( 1 ) 141  160 2016.01 [Refereed]
The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles
Trinh Khanh Duy, Tomoyuki Shirai
ELECTRONIC COMMUNICATIONS IN PROBABILITY 20 ( 68 ) 1  13 2015.09 [Refereed]
An Introduction to Ergodic Theory
Khanh Duy Trinh
A Mathematical Approach to Research Problems of Science and Technology 297 2014 [Refereed]
On the distribution of $k$th power free integers, II
Khanh Duy Trinh, Takanobu Satoshi
Osaka J. Math. 50 ( 3 ) 687  713 2013.07 [Refereed]
On convergence of Fourier series of Besicovitch almost periodic functions
Trinh Khanh Duy
LITHUANIAN MATHEMATICAL JOURNAL 53 ( 3 ) 264  279 2013.07 [Refereed]
Probabilistic aspects of Besicovitch almost periodic functions
Khanh Duy Trinh
PhD Thesis. Osaka University 2012.06
Remarks on value distributions of general Dirichlet series
Duy Trinh Khanh
Functions in number theory and their probabilistic aspects. RIMS Kôkyûroku Bessatsu B34 49  68 2012 [Refereed]
CARLESON'S THEOREM FOR GENERAL DIRICHLET SERIES
Trinh Khanh Duy
ANALYTIC AND PROBABILISTIC METHODS IN NUMBER THEORY 119  129 2012 [Refereed]
On the distribution of $k$th power free integers
Khanh Duy Trinh
Osaka J. Math. 48 ( 4 ) 1027  1045 2011.10 [Refereed]
LIMITPERIODIC ARITHMETICAL FUNCTIONS AND THE RING OF FINITE INTEGRAL ADELES
Trinh Khanh Duy
LITHUANIAN MATHEMATICAL JOURNAL 51 ( 4 ) 486  506 2011.10 [Refereed]
On index2 linear implicit difference equations
Nguyen Huu Du, Le Cong Loi, Trinh Khanh Duy, Vu Tien Viet
LINEAR ALGEBRA AND ITS APPLICATIONS 434 ( 2 ) 394  414 2011.01 [Refereed]
Degenerate cocycle with index1 and Lyapunov exponents
Nguyen Huu Du, Trinh Khanh Duy, Vu Tien Viet
STOCHASTICS AND DYNAMICS 7 ( 2 ) 229  245 2007.06 [Refereed]
Trinh Khanh Duy
( 79 ) 215  228 2020.04
Introduction to Probability and Statistics (1)
School of Fundamental Science and Engineering
2021 summer quarter
Survey of Modern Mathematical Sciences B [S Grade]
School of Fundamental Science and Engineering
2021 spring quarter
Survey of Modern Mathematical Sciences B
School of Fundamental Science and Engineering
2021 spring quarter
Survey of Modern Mathematical Sciences A [S Grade]
School of Fundamental Science and Engineering
2021 winter quarter
Survey of Modern Mathematical Sciences A
School of Fundamental Science and Engineering
2021 winter quarter
Introduction to Probability and Statistics (1)
School of Creative Science and Engineering
2021 summer quarter
Introduction to Probability and Statistics (1)
School of Advanced Science and Engineering
2021 summer quarter
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2021 full year
Seminar on Applied Probability Theory D
Graduate School of Fundamental Science and Engineering
2021 fall semester
Seminar on Applied Probability Theory C
Graduate School of Fundamental Science and Engineering
2021 spring semester
Seminar on Applied Probability Theory B
Graduate School of Fundamental Science and Engineering
2021 fall semester
Seminar on Applied Probability Theory A
Graduate School of Fundamental Science and Engineering
2021 spring semester
Advanced Probability and Statistics
Graduate School of Fundamental Science and Engineering
2021 spring semester
Research on Applied Probability Theory
Graduate School of Fundamental Science and Engineering
2021 full year
Introduction to Probability and Statistics [E] 01
School of Political Science and Economics
2021 summer quarter