Relativistic diffusions: A unifying approach
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Publication:5504877
DOI10.1063/1.2885071zbMath1152.81373OpenAlexW1995475367MaRDI QIDQ5504877
C. Chevalier, Fabrice Debbasch
Publication date: 23 January 2009
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2885071
Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70)
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Cites Work
- Unnamed Item
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- Unnamed Item
- The spatially one-dimensional relativistic Ornstein-Uhlenbeck process in an arbitrary inertial frame
- A diffusion equation from the relativistic Ornstein-Uhlenbeck process
- Relativistic Ornstein-Uhlenbeck process
- Mathematical biology. Vol. 1: An introduction.
- Stochastic calculus for finance. I: The binomial asset pricing model.
- An H-theorem for the general relativistic Ornstein-Uhlenbeck process
- Central limit theorem for a class of relativistic diffusions
- A diffusion process in curved space–time
- Relativistic Stochastic Processes
- The Large Scale Structure of Space-Time
- General Relativity
- Invariance of the relativistic one-particle distribution function