Trends to equilibrium for a class of relativistic diffusions

Mathematics – Probability

Scientific paper

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10 pages

Scientific paper

We address the question of the trends to equilibrium for a large class C of
relativistic diffusions. We show the existence of a spectral gap using the
Lyapounov method and deduce the exponential decay of the distance to
equilibrium in L2-norm and in total variation. A similar result was obtained
recently in arXiv:1009.5086 for a particular process of the class C.

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