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 limit theorems for the Euler characteristic process in the critical regime,
    Andrew Thomas and Takashi Owada,
    Submitted
  • A functional non-central limit theorem for multiple-stable processes with long-range dependence,
    Shuyang Bai, Takashi Owada, and Yizao Wang,
    Submitted
  • Convergence of persistence diagram for topological crackle,
    Takashi Owada and Omer Bobrowski,
    Submitted
  • Limit theorems for process-level Betti numbers for sparse and critical regimes,
    Takashi Owada and Andrew Thomas,
    To appear in Advances in Applied Probability. 

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

  • Topological crackle of heavy-tailed moving average processes,
    Takashi Owada
    To appear in Stochastic Processes and Their Applications.
  • 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

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

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