Takashi OWADA (大和田孝)

Assistant Professor
Department of Statistics, MATH 540, Purdue University
West Lafayette, IN, 47907, USA




Email: owada[at]purdue[dot]edu

EDUCATION

  • CORNELL UNIVERSITY, NY, USA,
    Ph.D. in Operations Research with concentration in Applied Probability and Statistics, August 2013.
    Thesis advisor: Professor Gennady Samorodnitsky.

  • THE UNIVERSITY OF TOKYO, Tokyo, JAPAN,
    M. A. Economics, Statistics Course, March 2004, B. A. Economics, March 2002.

ACADEMIC APPOINTMENT

  • PURDUE UNIVERSITY , West Lafayette, IN, USA,
    Assistant Professor, Department of Statistics, August 2016 - present

  • TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY, Haifa, ISRAEL,
    European Commission Senior Researcher, September 2013 - August 2016, under Professor Robert J. Adler.

INDUSTRIAL EXPERIENCE

  • BANK OF JAPAN, Tokyo, JAPAN,
    Economist, 2004 - 2006.

RESEARCH INTERESTS

  • Heavy tail probability, Stable processes, Infinitely divisible processes, Extreme value theory, Long range dependence, Infinite ergodic theory.

  • Random topology, Topological data analysis, Persistent homology, Random graph theory, Hyperbolic geometry.

GRANT

  • National Science Foundation (NSF), Division of Mathematical Sciences - Probability and Topology, `` Random Algebraic Topology (#1811428),"
    2018/8 - 2021/7.

PUBLICATIONS

  • Functional strong law of large numbers for Betti numbers in the tail, 
    Takashi Owada and Zifu Wei,
    Submitted
  • Limit theory for U-statistics under geometric and topological constraints with rare events, 
    Takashi Owada,
    Submitted
  • Functional strong law of large numbers for Euler characteristic processes of extreme sample clouds, 
    Andrew M. Thomas and Takashi Owada,
    To appear in Extremes. 
      • Convergence of persistence diagram in the subcritical regime,
        Takashi Owada,
        Submitted
        • Limit Theorems for topological invariants of the dynamic multi-parameter simplicial complex,
          Takashi Owada, Gennady Samorodnitsky, and Gugan Thoppe, 
          To appear in Stochastic Processes and their Applications.
        • Functional limit theorems for the Euler characteristic process in the critical regime,
          Andrew M. Thomas and Takashi Owada,
          Advances in Applied Probability, Volume 53 (2021), 57-80. 

        • A functional non-central limit theorem for multiple-stable processes with long-range dependence,
          Shuyang Bai, Takashi Owada, and Yizao Wang,
          Stochastic Processes and their 
          Applications, Volume 130 (2020), 5768-5801.
        • Convergence of persistence diagram for topological crackle,
          Takashi Owada and Omer Bobrowski,
          Bernoulli, Volume 26 (2020), 2275-2310. 
        • Limit theorems for process-level Betti numbers for sparse and critical regimes,
          Takashi Owada and Andrew M. Thomas,
          Advances in Applied Probability, Volume 52 (2020), 1-31.

        • Sub-tree counts on hyperbolic random geometric graphs,
          Takashi Owada and D. Yogeshwaran,
          Submitted

        • Topological crackle of heavy-tailed moving average processes,
          Takashi Owada
          Stochastic Processes and Their Applications, Volume 129 (2019), 4965-4997. 
        • Limit theorems for Betti numbers of extreme sample clouds with application to persistence barcodes,
          Takashi Owada,
          The Annals of Applied Probability, Volume 28 (2018), 2814-2854.
        • Functional central limit theorem for subgraph counting processes,
          Takashi Owada,
          Electronic Journal of Probability, 22, 2017, arXiv

        • Functional central limit theorem for negatively dependent heavy-tailed stationary infinitely divisible processes generated by conservative flows,
          Paul Jung, Takashi Owada, and Gennady Samorodnitsky,
          The Annals of Probability, Volume 45 (2017), 2087-2130, arXiv

        • Limit theorems for point processes under geometric constraints (and topological crackle),
          Takashi Owada and Robert J. Adler,
          The Annals of Probability, Volume 45 (2017), 2004-2055, arXiv

        • Maxima of long memory stationary symmetric alpha-stable processes, and self-similar processes with stationary max-increments,
          Takashi Owada and Gennady Samorodnitsky,
          Bernoulli , Volume 21 (2015), 1575-1599, arXiv

        • Limit theory for the sample autocovariance for heavy tailed stationary infinitely divisible processes generated by conservative flows,
          Takashi Owada,
          Journal of Theoretical Probability , Volume 29 (2016), 63-95, arXiv

        • Functional central limit theorem for heavy tailed stationary infinitely divisible processes generated by conservative flows,
          Takashi Owada and Gennady Samorodnitsky,
          The Annals of Probability , Volume 43 (2015), 240-285. arXiv

        RESEARCH REPORT

        THESIS

        TEACHING EXPERIENCE

        • Elements of Stochastic Processes (Master - Ph.D level), Purdue University, Fall 2018, Fall 2019

        • Probability Theory I (Ph.D level), Purdue University, Spring 2018

        • Introduction to Probability (Master - Ph.D level), Purdue University, Fall 2017, Spring 2019, Fall 2020

        • Basic Probability and Applications (Master level), Purdue University, Fall 2016, Spring 2017

        • Probability (Undergraduate level), Purdue University, Spring 2020

        • Long Range Dependence and Heavy Tails (Ph.D level), Technion, Fall 2015