Curriculum Vitae

Yuki Ueda

Personal Details

Employment

Part-time Lecturer

Education

Research interests

Main research interests encompass free probability theory and its associated fields. Specifically, I am engaged in the study of distribution classes that arise from limit theorems involving classical, free, Boolean, and monotone convolutions. These classes encompass various types of distributions, including infinitely divisible distributions, self-decomposable distributions, stable laws, and extreme value distributions. My research approach incorporates complex analysis and measure theory. Recently, I have been delving into the study of finite free probability theory, which can be described as the asymptotic theory of free probability. This pursuit aims to elucidate the convolutions of characteristic polynomials of random matrices and their connection to free probability.

Grants