58 citations · 58 across the 1 of their papers we have counts for
2 papers
math.PR2014★ 58 cited
Stochastic switching in infinite dimensions with applications to random parabolic PDEs
Sean D. Lawley, Jonathan C. Mattingly, Michael C. Reed
We consider parabolic PDEs with randomly switching boundary conditions. In order to analyze these random PDEs, we consider more general stochastic hybrid systems and prove converge…
math.PR2013
Sensitivity to switching rates in stochastically switched ODEs
Sean D. Lawley, Jonathan C. Mattingly, Michael C. Reed
We consider a stochastic process driven by a linear ordinary differential equation whose right-hand side switches at exponential times between a collection of different matrices. W…