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Relativistic stochastic processes. (English) Zbl 1136.82356
Descalzi, Orazio (ed.) et al., Nonequilibrium statistical mechanics and nonlinear physics. XV conference on nonequilibrium statistical mechanics and nonlinear physics, Mar del Plata, Argentina, 4–8 December 2006. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0421-2/hbk). AIP Conference Proceedings 913, 42-48 (2007).
Summary: We review all recent contributions to the literatore on stochastic processes. In particular, the Relativistic Ornstein-Uhlenbeck Process is presented in detail, as is the intrinsic Brownian motion studied by Franchi and Le Jan. The Relativistic Brownian Motion of Dunkel and Hanggi is also reviewed, together with a model introduced by Oron and Horwitz. We finally suggest some possible future developements of the current research.
For the entire collection see [Zbl 1117.82001].

MSC:
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
60J65 Brownian motion
82C44 Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics
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