Stochastic perturbations preserve statistical features in chaotic billiards but induce non-uniform boundary stationary measures in integrable ones, linking small perturbations to Evans stochastic billiard.
Knudsen,Kinetic theory of gases - some modern as- pects(Methuen, London, 1952)
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Stochastically perturbed billiards: fingerprints of chaos and universality classes
Stochastic perturbations preserve statistical features in chaotic billiards but induce non-uniform boundary stationary measures in integrable ones, linking small perturbations to Evans stochastic billiard.