Trinh Khanh Duy ＴｒｉｎｈＫｈａｎｈ・Ｄｕｙ

… Alternative Names

Trinh Khanh・Duy トゥリンカーン・デュイ

TRINH Khanh Duy トゥリンカーンデュイ

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Researcher Number	00726127
Other IDs
Affiliation (Current)	2025: 早稲田大学, 理工学術院, 教授(任期付)
Affiliation (based on the past Project Information) *help	2024: 早稲田大学, 理工学術院, 准教授(任期付) 2019 – 2022: 早稲田大学, 理工学術院, 准教授(任期付) 2017 – 2018: 東北大学, 数理科学連携研究センター, 准教授 2016: 九州大学, マス・フォア・インダストリ研究所, 助教授 2014: 九州大学, マス・フォア・インダストリ研究所, 助教
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related / Basic analysis Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator beta ensembles / random matrix theory / moment method / random Jacobi matrices / orthogonal polynomials / classical beta ensembles / stochastic processes / local statistics / beta Laguerre ensembles / beta Laguerre processes … More / beta Jacobi processes / beta Jacobi ensembles / Gaussian fluctuations / high temperature regime / random Jacobi matrix / localization / Jacobi beta ensembles / Wishart beta ensembles / Gaussian fluctuation / Wigner's semi-circle law / semi-circle law / spectral measures / radom Jacobi matrices / Gaussian beta ensembles … More Except Principal Investigator ランダム・ワイル・サンプリング / 有限整アデール環 / 極限周期的算術関数 / 確率論 / スペクトル測度 / 一般ディリクレ級数 / 概周期関数 / ランダム行列 / 数論 / 密度定理 / 極限定理 Less

Universal approaches in random matrix theoryPrincipal Investigator
- Principal Investigator
  
  Trinh Khanh・Duy
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Waseda University
Multi-aspects of beta ensembles and related random matrix modelsPrincipal Investigator
- Principal Investigator
  
  Trinh Khanh Duy
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Waseda University
Spectral measures of random matrices and universality of random Jacobi matricesPrincipal Investigator
- Principal Investigator
  
  Trinh Khanh Duy
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
  Kyushu University
Research on limit theorems for random sequences arising from number theory
- Principal Investigator
  
  SUGITA Hiroshi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University

All 2023 2022 2021 2020 2019 2018 2017 2016 2014 2013 2012 2011 2010

All Journal Article Presentation

[Journal Article] Limit theorems for moment processes of beta Dyson’s Brownian motions and beta Laguerre processes2023
- Author(s)
  Nakano Fumihiko、Trinh Hoang Dung、Trinh Khanh Duy
- Journal Title
  
  Random Matrices: Theory and Applications
  
  Volume: - Issue: 03
- DOI
  10.1142/s2010326323500053
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14547
[Journal Article] Random connection models in the thermodynamic regime: central limit theorems for add-one cost stabilizing functionals2022
- Author(s)
  Can Van Hao、Trinh Khanh Duy
- Journal Title
  
  Electronic Journal of Probability
  
  Volume: 27 Issue: none Pages: 1-40
- DOI
  10.1214/22-ejp759
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14547
[Journal Article] Beta Laguerre processes in a high temperature regime2021
- Author(s)
  Trinh Hoang Dung、Trinh Khanh Duy
- Journal Title
  
  Stochastic Processes and their Applications
  
  Volume: 136 Pages: 192-205
- DOI
  10.1016/j.spa.2021.03.002
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14547
[Journal Article] Beta Laguerre ensembles in global regime2021
- Author(s)
  Trinh Hoang Dung、Trinh Khanh Duy
- Journal Title
  
  Osaka J. Math.
  
  Volume: 58(2) Pages: 435-450
- NAID
  120007046105
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14547
[Journal Article] Beta Jacobi Ensembles and Associated Jacobi Polynomials2021
- Author(s)
  Trinh Hoang Dung、Trinh Khanh Duy
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 185 Issue: 1
- DOI
  10.1007/s10955-021-02832-z
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14547
[Journal Article] Poisson Statistics for Beta Ensembles on the Real Line at High Temperature2020
- Author(s)
  Fumihiko Nakano、Khanh Duy Trinh
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 179 Issue: 2 Pages: 632-649
- DOI
  10.1007/s10955-020-02542-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14547
[Journal Article] Beta Laguerre ensembles in global regime2020
- Author(s)
  Hoang Dung Trinh, Khanh Duy Trinh
- Journal Title
  
  Osaka J. Math.
  
  Volume: 未定
- NAID
  120007046105
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14547
[Journal Article] Gaussian Beta Ensembles at High Temperature: Eigenvalue Fluctuations and Bulk Statistics2018
- Author(s)
  Nakano Fumihiko、Trinh Khanh Duy
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 173 Issue: 2 Pages: 295-321
- DOI
  10.1007/s10955-018-2131-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17616
[Journal Article] Strong Law of Large Numbers for Betti Numbers in the Thermodynamic Regime2018
- Author(s)
  Goel Akshay、Trinh Khanh Duy、Tsunoda Kenkichi
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 174 Issue: 4 Pages: 865-892
- DOI
  10.1007/s10955-018-2201-z
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17616
[Journal Article] Limit theorems for persistence diagrams2018
- Author(s)
  Hiraoka Yasuaki、Shirai Tomoyuki、Trinh Khanh Duy
- Journal Title
  
  The Annals of Applied Probability
  
  Volume: 28 Issue: 5 Pages: 2740-2780
- DOI
  10.1214/17-aap1371
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17616, KAKENHI-PROJECT-16H06338
[Journal Article] On spectral measures of random Jacobi matrices2018
- Author(s)
  Trinh Khanh Duy
- Journal Title
  
  Osaka J. Math.
  
  Volume: 55 Pages: 595-617
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17616
[Journal Article] Limit theorems for persistence diagrams2017
- Author(s)
  Yasuaki Hiraoka, Tomoyuki Shirai and Khanh Duy Trinh
- Journal Title
  
  Annals of Applied Probability
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17616
[Journal Article] A remark on the convergence of Betti numbers in the thermodynamic regime2017
- Author(s)
  Trinh Khanh Duy
- Journal Title
  
  Pac. J. Math. Ind.
  
  Volume: 9 Issue: 1
- DOI
  10.1186/s40736-017-0029-0
- NAID
  40021482133
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17616
[Journal Article] Global Spectrum Fluctuations for Gaussian Beta Ensembles: A Martingale Approach2017
- Author(s)
  Khanh Duy Trinh
- Journal Title
  
  J. Theor. Probab.
  
  Volume: 印刷中 Issue: 3 Pages: 1-18
- DOI
  10.1007/s10959-017-0794-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17616
[Journal Article] Distributions of the determinants of Gaussian beta ensembles2017
- Author(s)
  Khanh Duy Trinh
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2023 Pages: 77-85
- Data Source
  KAKENHI-PROJECT-16K17616
[Journal Article] On spectral measures of random Jacobi matrices2017
- Author(s)
  Trinh Khanh Duy
- Journal Title
  
  Osaka J. Math.
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17616
[Journal Article] On the distribution of k-th power free integers2013
- Author(s)
  Trinh Khanh Duy
- Journal Title
  
  Osaka J. Math.
  
  Volume: 50-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540128
[Journal Article] On convergence of Fourier series of Besicovitch almost periodic functions2013
- Author(s)
  Trinh Khanh Duy
- Journal Title
  
  Lith. Math. J.
  
  Volume: 53-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540128
[Journal Article] On the distribution of k-th power free integers, II2012
- Author(s)
  Trinh Khanh Duy, Satoshi Takanobu
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: (掲載決定)(未定)
- NAID
  120005327216
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540128
[Journal Article] Limit-periodic arithmetical functions and the ring of finite integral adeles2011
- Author(s)
  Trinh Khanh Duy
- Journal Title
  
  Lithuanian Mathematical Journal
  
  Volume: 51-4 Issue: 4 Pages: 486-506
- DOI
  10.1007/s10986-011-9143-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540128
[Journal Article] On the distribution of k-th power free integers2011
- Author(s)
  Trinh Khanh Duy
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 48-4 Pages: 1027-1045
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540128
[Presentation] Gaussian beta ensembles and orthogonal polynomials2022
- Author(s)
  Khanh Duy Trinh
- Organizer
  Rigorous Statistical Mechanics and Related Topics
- Invited
- Data Source
  KAKENHI-PROJECT-19K14547
[Presentation] Orthogonal polynomials and classical beta ensembles2022
- Author(s)
  Khanh Duy Trinh
- Organizer
  Annual Conference on Probability and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14547
[Presentation] Mean-field limit for stochastic processes related to classical beta ensembles2022
- Author(s)
  Khanh Duy Trinh
- Organizer
  Interplay of partial differential equations and stochastic processes
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14547
[Presentation] Global spectrum fluctuations for Gaussian beta ensembles2021
- Author(s)
  Khanh Duy Trinh
- Organizer
  Danwakai, Tohoku University
- Data Source
  KAKENHI-PROJECT-19K14547
[Presentation] Gaussian beta ensembles and associated Hermite polynomials2021
- Author(s)
  Khanh Duy Trinh
- Organizer
  UniMelb-Bielefeld RMT Seminar
- Data Source
  KAKENHI-PROJECT-19K14547
[Presentation] On the moment method for beta Wishart processes2020
- Author(s)
  Khanh Duy Trinh
- Organizer
  Spectra of Random Operators and Related Topics
- Data Source
  KAKENHI-PROJECT-19K14547
[Presentation] Some aspects of beta ensembles at high temperature2019
- Author(s)
  Trinh Khanh Duy
- Organizer
  Spectra of Random Operators and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] On Wishart processes2019
- Author(s)
  Khanh Duy Trinh
- Organizer
  One-day Symposium: Hydrodynamic limit and related topics
- Data Source
  KAKENHI-PROJECT-19K14547
[Presentation] On beta Laguerre ensembles at varying temperature2019
- Author(s)
  Khanh Duy Trinh
- Organizer
  Japanese-German Open Conference on Stochastic Analysis 2019
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14547
[Presentation] Local statistics for beta ensembles at high temperature2019
- Author(s)
  Khanh Duy Trinh
- Organizer
  The 18th Symposium Stochastic Analysis on Large Scale Interacting Systems
- Data Source
  KAKENHI-PROJECT-19K14547
[Presentation] Gaussian beta ensembles in global regime2019
- Author(s)
  Trinh Khanh Duy
- Organizer
  MSJ Spring Meeting 2019
- Invited
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] On associated orthogonal polynomials2018
- Author(s)
  Khanh Duy Trinh
- Organizer
  Workshop on "Random matrices, determinantal processes and their related topics"
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] Classical beta ensembles in global regime2018
- Author(s)
  Trinh Khanh Duy
- Organizer
  Seminar on spectral theory, Gakushuin University
- Invited
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] Classical beta ensembles at high temperature2018
- Author(s)
  Trinh Khanh Duy
- Organizer
  Random matrices and their applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] On infinite Jacobi matrices related to beta ensembles2018
- Author(s)
  Khanh Duy Trinh
- Organizer
  The 16th annual Korea-Japan Workshop on Algebra and Combinatorics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] Global spectral properties of Gaussian beta ensembles2018
- Author(s)
  Khanh Duy Trinh
- Organizer
  大阪大学確率論セミナ
- Invited
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] Poisson statistics for Gaussian beta ensembles at high temperature2017
- Author(s)
  Khanh Duy Trinh
- Organizer
  2017年度確率論シンポジウム
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] Law of Large Numbers for Persistence Diagrams2017
- Author(s)
  Trinh Khanh Duy
- Organizer
  Topological Data Analysis and Related Topics
- Place of Presentation
  東北大学、仙台
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] On i.i.d. Jacobi matrices and Gaussian beta ensembles at high temperature2016
- Author(s)
  Trinh Khanh Duy
- Organizer
  第152回学習院大学スペクトル理論セミナー
- Place of Presentation
  学習院大学、東京
- Invited
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] On local statistics of random Jacobi matrices2016
- Author(s)
  Trinh Khanh Duy
- Organizer
  Spectra of Random Operators and Related Topics
- Place of Presentation
  慶應義塾大学、横浜
- Invited
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] Global asymptotic behaviours of Gaussian beta ensembles2016
- Author(s)
  Trinh Khanh Duy
- Organizer
  First Kyushu-UNSW Joint Workshop on the Mathematics underpinning Industry and Innovation
- Place of Presentation
  University of New South Wales, Sydney, Australia
- Invited
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] Some results on Gaussian beta ensembles at high temperature2016
- Author(s)
  Trinh Khanh Duy
- Organizer
  XII Brunel-Bielefeld Workshop on Random Matrix Theory
- Place of Presentation
  Brunel University London, London, England
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17616
[Presentation] On random Jacobi matrices related to Gaussian beta ensembles2014
- Author(s)
  Trinh Khanh Duy
- Organizer
  確率論シンポジウム
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-12-19
- Data Source
  KAKENHI-PROJECT-22540128
[Presentation] Central limit theorem for moments of spectral measures of Gaussian Wigner matrices2013
- Author(s)
  Trinh Khanh Duy
- Organizer
  大阪大学確率論セミナー
- Place of Presentation
  大阪大学理学部
- Year and Date
  2013-07-16
- Data Source
  KAKENHI-PROJECT-22540128
[Presentation] Carleson's Theorem for General Dirichlet Series2011
- Author(s)
  Trinh Khanh Duy
- Organizer
  The 5^<th> International Conference in Honour of J.Kubilius
- Place of Presentation
  Palanga(リトアニア共和国)
- Year and Date
  2011-09-05
- Data Source
  KAKENHI-PROJECT-22540128
[Presentation] On Value Distributions of General Dirichlet Series2011
- Author(s)
  Trinh Khanh Duy, Hiroshi Sugita
- Organizer
  解析数論セミナー
- Place of Presentation
  名古屋大学大学院多元数理科学研究科
- Year and Date
  2011-03-03
- Data Source
  KAKENHI-PROJECT-22540128
[Presentation] Besicovitch's limit periodic functions and L^q-spaces over the ring of finite integral adeles2010
- Author(s)
  Trinh Khanh Duy
- Organizer
  Number Theory and Probability
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-09-15
- Data Source
  KAKENHI-PROJECT-22540128

1. SUGITA Hiroshi (50192125)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
2. MORITA Takehiko (00192782)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. TAKANOBU Satoshi (40197124)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
4. SHIRA Tomoyuki (70302932)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. FUKUYAMA Katusi (60218956)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. Nakano Fumihiko

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results

Trinh Khanh Duy Ｔｒｉｎｈ Ｋｈａｎｈ・Ｄｕｙ

Trinh Khanh・Duy トゥリン カーン・デュイ

TRINH Khanh Duy トゥリン カーン デュイ

Research Projects

Research Products

Co-Researchers

Universal approaches in random matrix theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Multi-aspects of beta ensembles and related random matrix modelsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Spectral measures of random matrices and universality of random Jacobi matricesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on limit theorems for random sequences arising from number theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Limit theorems for moment processes of beta Dyson’s Brownian motions and beta Laguerre processes2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Random connection models in the thermodynamic regime: central limit theorems for add-one cost stabilizing functionals2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Beta Laguerre processes in a high temperature regime2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Beta Laguerre ensembles in global regime2021

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Beta Jacobi Ensembles and Associated Jacobi Polynomials2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Poisson Statistics for Beta Ensembles on the Real Line at High Temperature2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Beta Laguerre ensembles in global regime2020

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Gaussian Beta Ensembles at High Temperature: Eigenvalue Fluctuations and Bulk Statistics2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Strong Law of Large Numbers for Betti Numbers in the Thermodynamic Regime2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Limit theorems for persistence diagrams2018

Author(s)

Journal Title

DOI

Data Source

Trinh Khanh Duy ＴｒｉｎｈＫｈａｎｈ・Ｄｕｙ

Trinh Khanh・Duy トゥリンカーン・デュイ

TRINH Khanh Duy トゥリンカーンデュイ