Alexis Akira Toda
In this talk I will cover the recent advances in the theory of power law distributions, in particular the role of Markov modulation and random stopping emphasized by Beare and Toda (2022), which builds on Nakagawa (2007)’s Tauberian theorem. Applications include the emergence of Zipf’s law in Japanese cities and the spread of COVID-19. I will also present open mathematical problems.
• Beare, Brendan K., and Alexis Akira Toda. "Determination of Pareto exponents in economic models driven by Markov multiplicative processes." Econometrica 90.4 (2022): 1811-1833.
• Nakagawa, Kenji. "Application of Tauberian theorem to the exponential decay of the tail probability of a random variable." IEEE Transactions on Information Theory 53.9 (2007): 3239-3249.
• Beare, Brendan K., and Alexis Akira Toda. "On the emergence of a power law in the distribution of COVID-19 cases." Physica D: Nonlinear Phenomena 412 (2020): 132649.
Alexis Akria Toda is an Associate Professor at the University of California San Diego soon to start working as a Professor at Emory University. He is a mathematical economist with strong interests in applications, in particular macroeconomics and finance. He is the author of more than 40 research articles published in economics, mathematics, physics, and medical journals on a wide variety of topics including general equilibrium, macro-finance, consumption and savings, income and wealth distributions, asset price bubbles, power laws, dynamic programming, econometrics, and numerical methods, among others. He is an associate editor at Economic Theory and a co-editor at Journal of Mathematical Economics.
Published May 13, 2024 11:15 AM
- Last modified May 13, 2024 11:15 AM