4 papers
From Individual-Based Stochastic Epidemics to Heterogeneous SIR Equations
Olga Izyumtseva, Wasiur R. KhudaBukhsh, M. Gabriela M. Gomes +1
We develop a stochastic framework for a broad class of heterogeneous SIR epidemic models. In the finite-population construction, each initially susceptible individual is assigned a…
Self-intersection local times for Volterra Gaussian processes in stochastic flows with interaction
Olga Izyumtseva, Wasiur R. KhudaBukhsh
In this paper, we study self-intersection local times for a stochastic process , where is a Gaussian process of the form , $…
Stochastic Analysis of Entanglement-assisted Quantum Communication Channels
Karim S. Elsayed, Olga Izyumtseva, Wasiur R. KhudaBukhsh +1
We present a queueing model for a quantum communication network consisting of a primary queue and a service queue in which Bell pairs are formed and stored. The Bell pairs are inhe…
Local times of self-intersection and sample path properties of Volterra Gaussian processes
Olga Izyumtseva, Wasiur R. KhudaBukhsh
We study a Volterra Gaussian process of the form where is a Wiener process and is a continuous kernel. In dimension one, we prove a law of the…