Alexis Akira Toda_中国竞猜网_中国足彩网-足球推荐

2024-05-13T09:15:18.106Z
type:structured-event
www.uio.no

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.