Mathematics – Probability
Scientific paper
2011-06-29
Mathematics
Probability
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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