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math.PR2025
Generalized Meixner-type free gamma distributions:convolution formulas and potential correspondence
Noriyoshi Sakuma, Yuki Ueda
We introduce and study a class of generalized Meixner-type free gamma distributions ( and ), which includes both the free gamma distributions introduced…
math.PR2025
On the rate of convergence to the Boolean extreme value distribution under the von Mises condition
Yuki Ueda
We investigate the rate of convergence toward the Boolean extreme value distribution, which is the universal limiting law for the normalized spectral maximum of Boolean independent…
math.PR2024
A note on convergence of densities to free extreme value distributions
Yamato Kindaichi, Yuki Ueda
The concept of free extreme value distributions as universal limit laws for the spectral maximum of free noncommutative real random variables was discovered by Ben Arous and Voicul…