10 citations · 27 across the 24 of their papers we have counts for
25 papers
Finite free position of maximal abelian -subalgebras of the matrix algebra
Yuki Ueda
Finite free convolution is obtained by averaging characteristic polynomials over Haar unitary conjugation. We ask when two maximal abelian -subalgebras of the complex matrix…
Poisson operator on the interacting Fock space associated with a discrete-time quantum walk
Daiju Funakawa, Yuki Ueda, Kazuyuki Wada
We study the Poisson operator on the interacting Fock space associated with a discrete-time quantum walk, which we call the QW-Poisson operator. First, we investigate the spectral…
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…
Convolution, cumulants and infinitesimal generators in the formal power series ring
Shuhei Tsujie, Yuki Ueda
We extend the notions of finite free convolution and finite free cumulants to the setting of formal power series by introducing their natural analogues, namely -deformed convolu…
Scale-free congestion clusters in large-scale traffic networks: a continuum modeling study
Yuki Chiba, Norikazu Saito, Yuki Ueda +1
Recent empirical studies have reported that spatiotemporal congestion clusters in urban traffic exhibit scale-free statistics, with cluster size following a power-law distribution.…
On a diffusion equation with rupture
Yoshikazu Giga, Yuki Ueda
We propose a model to describe an evolution of a bubble cluster with rupture. In a special case, the equation is reduced to a single parabolic equation with evaporation for the thi…