3 papers
math.PR2026
Scaling limit theorem for mixed free and Boolean convolution powers
Hao-Wei Huang, Noriyoshi Sakuma, Pei-Lun Tseng +1
We prove a scaling limit theorem for a double sequence of probability measures involving additive free convolution and additive Boolean convolution . Let be…
math.OA2025
Rates of convergence in the Free Multiplicative Central Limit Theorem
Marwa Banna, Nicolas Gilliers, Pei-Lun Tseng
We provide the first quantitative estimates for the rate of convergence in the free multiplicative central limit theorem (CLT), in terms of the Kolmogorov and -Wasserstein dista…
math.PR2024
The Distribution of Polynomials in Monotone Independent Elements
Marwa Banna, Pei-Lun Tseng
Building on the work of Arizmendi and Celestino (2021), we derive the -distributions of polynomials in monotone independent and infinitesimally monotone independent elements. Fo…