5 citations · 6 across the 5 of their papers we have counts for
5 papers
Interval-censored Hawkes processes
Marian-Andrei Rizoiu, Alexander Soen, Shidi Li +4
Interval-censored data solely records the aggregated counts of events during specific time intervals - such as the number of patients admitted to the hospital or the volume of vehi…
An explicit numerical algorithm to the solution of Volterra integral equation of the second kind
Leanne Dong, John van der Hoek
This paper considers a numeric algorithm to solve the equation \begin{align*} y(t)=f(t)+\int^t_0 g(t-τ)y(τ)\,dτ\end{align*} with a kernel and input for . In some applica…
Invariant measures for the Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
Leanne Dong
Building upon the well-posedness results in \cite{snse1}, in this note we prove the existence of invariant measures for the stochastic Navier-Stokes equations with stable Lévy nois…
Random Attractors for Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
Leanne Dong
In this paper we prove that the stochastic Navier-Stokes equations with stable Lévy noise generates a random dynamical systems. Then we prove the existence of random attractor for…
Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise: existence and uniqueness of weak and strong solutions
Leanne Dong
In this paper we prove the existence and uniqueness of a strong solution (in PDE sense) to the stochastic Navier-Stokes equations on the rotating 2-dimensional unit sphere perturbe…