Publications
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,
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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