Can diffusions propagate?

DOI10.1007/s10955-012-0580-0zbMath1276.82055OpenAlexW2083324575MaRDI QIDQ690632

V. Foulonneau, D. Espaze, Fabrice Debbasch

Publication date: 28 November 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-012-0580-0

zbMATH Keywords

bounded velocity diffusionrelativistic stochastic processes

Mathematics Subject Classification ID

Diffusion processes (60J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70) Fokker-Planck equations (35Q84)

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Discrete-time quantum walks in random artificial gauge fields ⋮ Brownian motion at the speed of light: a new Lorentz invariant family of processes ⋮ Quantum circuits for discrete-time quantum walks with position-dependent coin operator ⋮ Quantum walks in artificial electric and gravitational fields ⋮ Quantum simulation of quantum relativistic diffusion via quantum walks

Cites Work

• Brownian motion with respect to time-changing Riemannian metrics, applications to Ricci flow
• Is Brownian motion sensitive to geometry fluctuations?
• Brownian motion with respect to a metric depending on time; definition, existence and applications to Ricci flow
• Bio-heat transfer analysis during short pulse laser irradiation of tissues
• A diffusion equation from the relativistic Ornstein-Uhlenbeck process
• Relativistic Ornstein-Uhlenbeck process
• Fluctuation-dissipation theorems in an expanding universe
• Central limit theorem for a class of relativistic diffusions
• STOCHASTIC MODELS OF THERMODIFFUSION
• Stochastic differential equations. An introduction with applications.
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