M. G. Alshehri

collaborators

2 papers

math-ph2022

Particle-hole transformation in the continuum and determinantal point processes

Maryam Gharamah Ali Alshehri, Eugene Lytvynov

Let $X$ be an underlying space with a reference measure $σ$ . Let $K$ be an integral operator in $L^{2} (X, σ)$ with integral kernel $K (x, y)$ . A point process $μ$ on $X$ is called deter…

math.PR2020

Hafnian point processes and quasi-free states on the CCR algebra

Maryam Gharamah Ali Alshehri, Eugene Lytvynov

Let $X$ be a locally compact Polish space and $σ$ a nonatomic reference measure on $X$ (typically $X = R^{d}$ and $σ$ is the Lebesgue measure). Let $X^2\ni(x,y)\mapsto\mathbb K…