Publications on google scholar or on mathscinet
Preprints
F. Nakano, H.D. Trinh and K.D. Trinh,
Beta Jacobi ensembles and associated Jacobi polynomials, II. arXiv:2304.10734
Papers
F. Nakano, H.D. Trinh, and K.D.Trinh,
Classical beta ensembles and related eigenvalues processes at high temperature and the Markov–Krein transform. Journal of Mathematical Physics, 66(5) (2025).
S. Kanazawa, and Trinh, K.D,
Central limit theorem for linear eigenvalue statistics of the adjacency matrices of random simplicial complexes. Random Structures & Algorithms, 66(1), p.e21257 (2025).
S. Kanazawa, K.D. Trinh, and D. Yogeshwaran,
Normal approximation for statistics of randomly weighted complexes. Electronic Journal of Probability, 29, pp.1-30 (2024).
F. Nakano, H.D. Trinh and K.D. Trinh,
Limit theorems for moment processes of beta Dyson's Brownian motions and beta Laguerre processes. Random Matrices: Theory and Applications (2023). DOI or arXiv:2103.09980
V.H. Can and K.D. Trinh,
Random connection models in the thermodynamic regime: central limit theorems for add-one cost stabilizing functionals. Electron. J. Probab. 27(2022), 1--40. DOI or arXiv:2004.06313
H.D. Trinh and K.D. Trinh,
Beta Jacobi ensembles and associated Jacobi polynomials. Journal of Statistical Physics, 185(4) (2021). DOI or arXiv:2005.01100
H.D. Trinh and K.D. Trinh,
Beta Laguerre processes in a high temperature regime, Stochastic Processes and their Applications, 136 (2021), 192--205, DOI or arXiv:2004.14613
H.D. Trinh and K.D. Trinh,
Beta Laguerre ensembles in global regime, Osaka J. Math, 58 (2021), 435--450. Download page
K.D. Trinh,
On persistent homology of random \v{C}ech complexes, (Stochastic Analysis on Large Scale Interacting Systems), RIMS Kokyuroku Bessatsu, 79 (2020), 215--228. Download page or arXiv:1902.08063
F. Nakano and K.D. Trinh,
Poisson statistics for beta ensembles on the real line at high temperature, Journal of Statistical Physics, 179(2) (2020), 632--649. DOI or arXiv:1910.00766
K.D. Trinh,
On central limit theorems in stochastic geometry for add-one cost stabilizing functionals, Electron. Commun. Probab. 24 (2019), no. 76, 15 pp. DOI
K.D. Trinh,
Global spectrum fluctuations for Gaussian beta ensembles: a martingale approach, J. Theor. Probab. 32(3) (2019), 1420--1437. DOI or arXiv:1710.03921
A. Goel, K.D. Trinh and K. Tsunoda,
Strong Law of Large Numbers for Betti Numbers in the Thermodynamic Regime, J. Stat. Phys. 174(4) (2019), 865--892 DOI or arXiv:1805.05032
F. Nakano and K.D. Trinh,
Gaussian beta ensembles at high temperature: eigenvalue fluctuations and bulk statistics, J. Stat. Phys. 172(2) (2018), 295--321 DOI or arXiv:1611.09476
Y. Hiraoka, T. Shirai and K.D. Trinh,
Limit theorems for persistence diagrams, Ann. Appl. Probab. 28 (2018), no. 5, 2740--2780. DOI
T.K. Duy,
On spectral measures of random Jacobi matrices, Osaka J. Math. 55 (2018), no. 4, 595--617.
K.D. Trinh,
A remark on the convergence of Betti numbers in the thermodynamic regime, Pac. J. Math. Ind. 9 (2017):4. Download page
T.K. Duy,
Central limit theorem for moments of spectral measures of Wigner matrices, Osaka J. Math. 53 (2016), no. 1, 141--161.
T.K. Duy and T. Shirai,
The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles, Electron. Commun. Probab. 20 (2015), no. 68, 1--13. DOI
T.K. Duy,
On convergence of Fourier series of Besicovitch almost periodic functions, Lith. Math. J. 53 (2013), no. 3, 264--279. DOI
T.K. Duy and S. Takanobu,
On the distribution of k-th power free integers, II, Osaka J. Math. 50 (2013), no. 3, 678--713.
T.K. Duy,
Carleson's theorem for general Dirichlet series, in Analytic and Probabilistic Methods in Number Theory, 119--129, TEV, Vilnius, 2012.
T.K. Duy,
Remarks on value distributions of general Dirichlet series, in Functions in Number Theory and Their Probabilistic Aspects, 49--68, RIMS Kôkyûroku Bessatsu, B34, Res. Inst. Math. Sci. (RIMS), Kyoto, 2012.
T.K. Duy,
Limit-periodic arithmetical functions and the ring of finite integral adeles, Lith. Math. J. 51 (2011), no. 4, 486--506. DOI
T.K. Duy,
On the distribution of k-th power free integers, Osaka J. Math. 48 (2011), no. 4, 1027--1045.
N.H. Du, L.C. Loi, T.K. Duy and V.T. Viet,
On index-2 linear implicit difference equations, Linear Algebra Appl. 434 (2011), no. 2, 394--414. DOI
N.H. Du, T.K. Duy and V.T. Viet,
Degenerate cocycle with index-1 and Lyapunov exponents, Stoch. Dyn. 7 (2007), no. 2, 229--245. DOI
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