TRINH, Khanh Duy



Faculty of Science and Engineering, Global Center for Science and Engineering

Job title

Associate Professor(without tenure)

Homepage URL

Research Institute 【 display / non-display

  • 2020

    理工学術院総合研究所   兼任研究員

Research Experience 【 display / non-display

  • 2019.04

    Waseda University   Global Center for Science and Engineering   Associate Professor (without tenure)

  • 2017.12

    Research Alliance Center for Mathematical Sciences, Tohoku University, Japan   Associate Professor

  • 2013.10

    Institute of Mathematics for Industry, Kyushu University, Japan   Assistant Professor

  • 2012.07

    Department of Mathematics, Graduate School of Science, Osaka University, Japan   Research Fellow of the Japan Society for the Promotion of Science


Research Areas 【 display / non-display

  • Basic analysis   Probability theory and applied probability

Papers 【 display / non-display

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Misc 【 display / non-display

  • On persistent homology of random Cech complexes (Stochastic Analysis on Large Scale Interacting Systems)

    Trinh Khanh Duy

      ( 79 ) 215 - 228  2020.04

     View Summary

    The paper studies the relation between critical simplices and persistence diagrams of the Cech filtration. We show that adding a critical k-simplex into the filtration corresponds either to a point in the kth persistence diagram or a point in the (k - 1)st persistence diagram. Consequently, the number of points in persistence diagrams can be expressed in terms of the number of critical simplices. As an application, we establish some convergence results related to persistence diagrams of the Cech filtrations built over binomial point processes.



Syllabus 【 display / non-display

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