1 citations · 2 across the 4 of their papers we have counts for
5 papers
An extension of Stein's method incorporating dependence
Aleksandar Balašev-Samarski, Abdol-Reza Mansouri
We extend Stein's method to include dependence with respect to an auxiliary random variable, for conditional laws for which Stein's characterizations do exist.
An extension of Stein's method incorporating independence
Aleksandar Balašev-Samarski, Abdol-Reza Mansouri
We extend Stein's method to include independence with respect to an auxiliary random variable, for any law for which a Stein characterization does exist. This extends the current l…
Stochastic Solutions for Hyperbolic PDE
Abdol-Reza Mansouri, Zachary Selk
The theory of stochastic representations of solutions to elliptic and parabolic PDE has been extensive. However, the theory for hyperbolic PDE is notably lacking. In this short not…
Well-posedness of the Deterministic Transport Equation with Singular Velocity Field Perturbed along Fractional Brownian Paths
Oussama Amine, Abdol-Reza Mansouri, Frank Proske
In this article we prove path-by-path uniqueness in the sense of Davie \cite{Davie07} and Shaposhnikov \cite{Shaposhnikov16} for SDE's driven by a fractional Brownian motion with a…
Controllability of coupled parabolic systems with multiple underactuations: parts I and II
Drew Steeves, Bahman Gharesifard, Abdol-Reza Mansouri
This work studies the null controllability of a system of coupled parabolic PDEs. In particular, our work specializes to an important subclass of these control problems which are c…