4 papers
Poisson operator on the interacting Fock space associated with a discrete-time quantum walk
Daiju Funakawa, Daiju Funawaka, Yuki Ueda +1
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…
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.…
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…