5 papers
Monotone max-convolution and subordination functions for free max-convolution
Yuki Ueda
We show that the distribution of the spectral maximum of monotonically independent self-adjoint operators coincides with the classical max-convolution of their distributions. In fr…
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…
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…
Spectral analysis of Dirac operators for fermion scattering on topological solitons in the nonlinear -model
Daiju Funakawa, Satoshi Okumura, Yuki Ueda
We investigate the existence of discrete positive or negative energy ground states of the Dirac operator which describe the fermion scattering on topological solitons in the no…
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…