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Relativistic stochastic processes

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Modelling irreversible phenomena in relativistic continuous media is still the object of active research. The simplest irreversible phenomenon is particle diffusion and the simplest models of particle diffusions are stochastic processes. Relativistic stochastic processes first appeared in the physics literature 13 years ago. I will explain how these processes are constructed and how they differ from their traditionnal Galilean counterparts. I will also present the hydrodynamic limit of these processes and discuss what it teaches us on the very notion of relativistic dissipative hydrodynamics. Possible cosmological applications will also be addressed briefly.

This talk is part of the Probability series.

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