Boundedness vs unboundedness of a noise linked to Tsallis q-statistics: The role of the overdamped approximation
DOI10.1063/1.4977081zbMath1361.60056arXiv1709.08260OpenAlexW3104014718MaRDI QIDQ2974650
Alberto d'Onofrio, Dario Domingo, Franco Flandoli
Publication date: 10 April 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.08260
Tsallis \(q\)-statisticsbounded stochastic processesoverdamped approximationTsallis-Stariolo-Borland noise
Brownian motion (60J65) Applications of stochastic analysis (to PDEs, etc.) (60H30) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Approximations to statistical distributions (nonasymptotic) (62E17)
Related Items (1)
Cites Work
- Effect of non-Gaussian noise sources in a noise-induced transition
- Bounded noises in physics, biology, and engineering
- The Langevin and Fokker-Planck equations in the framework of a generalized statistical mechanics
- Itō-Langevin equations within generalized thermostatistics
- Statistical-Mechanical Foundation of the Ubiquity of Lévy Distributions in Nature
- Brownian motion in a field of force and the diffusion model of chemical reactions
- Handbook of stochastic methods for physics, chemistry and the natural sciences.
- Enhancement of stochastic resonance: the role of non Gaussian noises
- Effective Markovian approximation for non-Gaussian noises: A path integral approach
- Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999
This page was built for publication: Boundedness vs unboundedness of a noise linked to Tsallis q-statistics: The role of the overdamped approximation