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Relativistic Diffusions

Jacques Franchi, Yves Le Jan

math.PRarXiv:math/0403499

Abstract

The purpose of this note is to introduce and study a relativistic motion whose acceleration, in proper time, is given by a white noise. We begin with the flat case of special relativity, continue with the case of general relativity, and finally consider more closely the example of the Schwarzschild space.

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