9 citations · 18 across the 11 of their papers we have counts for
3 papers · 1 filter
Probability of Failure in Hypersonic Engines Using Large Deviations
George Papanicolaou, Nicholas West, Tzu-Wei Yang
We consider a reduced order model of an air-breathing hypersonic engine with a time-dependent stochastic inflow that may cause the failure of the engine. The probability of failure…
Anomalous Shock Displacement Probabilities for a Perturbed Scalar Conservation Law
Josselin Garnier, George Papanicolaou, Tzu-Wei Yang
We consider an one-dimensional conservation law with random space-time forcing and calculate using large deviations the exponentially small probabilities of anomalous shock profile…
Large deviations for a mean field model of systemic risk
Josselin Garnier, George Papanicolaou, Tzu-Wei Yang
We consider a system of diffusion processes that interact through their empirical mean and have a stabilizing force acting on each of them, corresponding to a bistable potential. T…