We show how to simulate Brownian motion not on a regular time grid, but on a regular spatial grid. That is, when it first hits points in Z for some > 0. Central to our method ...
This study presents a Feynman–Kac path-integral implementation for solving the Dirichlet problem for Poisson’s equation. The algorithm is a modified “walk on spheres” (WO...
Abstract Consider discrete time observations (X δ)1≤ ≤n+1 of the process X satisfying dXt = √ VtdBt, with Vt a one-dimensional positive diffusion process independent of the...
Robust stability serves as an important regulation mechanism in system biology and synthetic biology. In this paper, the robust stability analysis problem is investigated for a cla...
Abstract--The goal of this paper is to increase our understanding of the fundamental performance limits of mobile and Delay Tolerant Networks (DTNs), where end-to-end multi-hop pat...
Philippe Jacquet, Bernard Mans, Georgios Rodolakis