# Takashi OWADA

# (大和田孝)

Email: owada[at]purdue[dot]edu

## EDUCATION

CORNELL UNIVERSITY, NY, USA,

Ph.D. in Operations Research with concentration in Applied Probability and Statistics, 2013.

Thesis advisor: Professor Gennady Samorodnitsky.

THE UNIVERSITY OF TOKYO, Tokyo, JAPAN,

M. A. Economics, 2004, B. A. Economics, 2002.

## ACADEMIC APPOINTMENT

PURDUE UNIVERSITY , West Lafayette, IN, USA,

Associate Professor, Department of Statistics, 2022 - present

Assistant Professor, Department of Statistics, 2016 - 2022

TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY, Haifa, ISRAEL,

European Commission Senior Researcher, 2013 - 2016, under Professor Robert J. Adler.

## INDUSTRIAL EXPERIENCE

BANK OF JAPAN, Tokyo, JAPAN,

Economist, 2004 - 2006.

## RESEARCH INTERESTS

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

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

## GRANT and AWARD

Air Force Office of Scientific Research (AFOSR), ``Topological modeling and analysis of complex stochastic networks (FA9550-22-1-0238)," Principal Investigator, 2022/8 - 2025/7.

National Science Foundation (NSF), Division of Mathematical Sciences - Probability and Topology, `` Random Algebraic Topology (#1811428)," Principal Investigator, 2018/8 - 2022/7.

Regina and Norman F. Carroll (Col. USAF) Research Award, 2021.

Outstanding Assistant Professor Teaching Award, 2021.

Korean Mathematical Society Best Paper Award, 2018.

Institute of Mathematical Statistics (IMS) Travel Award, 2014.

## PUBLICATIONS

Limit theorems for critical faces above the vanishing threshold,

Zifu Wei, Takashi Owada, and Yogeshwaran D., Submitted.

Limit theorems for high-dimensional Betti numbers in the multiparameter random simplicial complexes,

Takashi Owada and Gennady Samorodnitsky, Submitted.

Large deviations for the volume of hyperbolic k-nearest neighbor balls,

Christian Hirsch, Moritz Otto, Takashi Owada, and Christoph Thale, To appear in Annales de l’Institut Henri Poincaré.

Large deviations for the volume of k-nearest neighbor balls,

Christian Hirsch, Taegyu Kang, and Takashi Owada, Electronic Journal of Probability, Volume 28 (2023), 1-27.

Large deviations for subcomplex counts and Betti numbers in multi-parameter simplicial complexes,

Gennady Samorodnitsky and Takashi Owada, Random Structures & Algorithms, Volume 63 (2023), 533-556.

Large deviation principle for geometric and topological functionals and associated point processes,

Christian Hirsch and Takashi Owada, The Annals of Applied Probability, Volume 33 (2023), 4008-4043.

Functional strong law of large numbers for Betti numbers in the tail,

Takashi Owada and Zifu Wei, Extremes, Volume 25 (2022), 653-693.

Limit theory for U-statistics under geometric and topological constraints with rare events,

Takashi Owada, Journal of Applied Probability, Volume 60 (2023), 314-340.

Functional strong law of large numbers for Euler characteristic processes of extreme sample clouds,

Andrew M. Thomas and Takashi Owada, Extremes, Volume 24 (2021), 699-724.

Convergence of persistence diagram in the sparse regime,

Takashi Owada, The Annals of Applied Probability, Volume 32 (2022), 4706-4736.

Limit Theorems for topological invariants of the dynamic multi-parameter simplicial complex,

Takashi Owada, Gennady Samorodnitsky, and Gugan Thoppe, Stochastic Processes and their Applications, Volume 138 (2021), 56-95.

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, Advances in Applied Probability, Volume 54 (2022), 1032-1069.

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).

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.

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.

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.

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.

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.

## RESEARCH REPORT

Tail measures of stochastic processes or random fields with regularly varying tails

Gennady Samorodnitsky and Takashi Owada

## THESIS

Ergodic theoretical approach to investigate memory properties of heavy tailed processes ,

Takashi Owada

## TEACHING EXPERIENCE

Elements of Stochastic Processes (Master - Ph.D level), Purdue University, Fall 2018, Fall 2019, Fall 2021, Fall 2023

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, Spring 2021, Spring 2022, Fall 2022, Spring 2024.

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

Department of Statistics, MATH 540, Purdue University

West Lafayette, IN, 47907, USA