Poisson boundary of a relativistic diffusion (Q2480829)
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| English | Poisson boundary of a relativistic diffusion |
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Poisson boundary of a relativistic diffusion (English)
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3 April 2008
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A diffusion process in Minkowski spacetime is analyzed. Any \(L\)-harmonic function, \(L\) being the infinitesimal generator of the above diffusion, is characterized in terms of an integral representation. This in turn characterizes the invariant sigma-field of the diffusion as the sigma-field generated by a pair of random variables obtained as almost sure limits of the speed and a certain quadratic form.
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relativistic diffusion
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Poisson boundary
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invariant \(\sigma\)-algebra
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