Large deviations for velocity-jump processes and non-local Hamilton-Jacobi equations
Large deviations for velocity-jump processes and non-local Hamilton-Jacobi equations
We establish a large deviation theory for a velocity jump process, where new random velocities are picked at a constant rate from a Gaussian distribution. The Kolmogorov forward equation associated with this process is a linear kinetic transport equation in which the BGK operator accounts for the changes in velocity. …