Branching diffusions, superdiffusions and random media.
Engländer, János (2007)
Probability Surveys [electronic only]
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Branching diffusions, superdiffusions and random media.
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A new class of relativistic diffusions encompassing all the previously studied examples has recently been introduced in the article of C. Chevalier and F. Debbasch (J. Math. Phys. (2008) 043303), both in a heuristic and analytic way. A stochastic approach of these processes is proposed here, in the general framework of lorentzian geometry. In considering the dynamics of the random motion in strongly causal spacetimes, we are able to give a simple definition of the one-particle distribution...
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