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arXiv · 1106.5867

Trends to equilibrium for a class of relativistic diffusions

Jürgen Angst
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Abstract

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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Jürgen Angst. 2011-06-29. Trends to equilibrium for a class of relativistic diffusions. https://doi.org/10.1063/1.3659685

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