Complementary Densities of Lévy Walks: Typical and Rare Fluctuations

DOI10.1051/mmnp/201611306zbMath1459.82275OpenAlexW2460361269MaRDI QIDQ4607498

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Publication date: 14 March 2018

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://www.mmnp-journal.org/10.1051/mmnp/201611306/pdf

zbMATH Keywords

large deviationssuperdiffusionLévy walksstrong anomalous diffusionbi-fractalinfinite densities

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Diffusion processes (60J60) Large deviations (60F10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (6)

Complementary Densities of Lévy Walks: Typical and Rare Fluctuations ⋮ Monitoring Lévy-process crossovers ⋮ Limit theorems for Lévy walks inddimensions: rare and bulk fluctuations ⋮ Refined central limit theorem and infinite density tail of the Lorentz gas from Lévy walk ⋮ Dynamics of a randomly kicked particle ⋮ In the folds of the central limit theorem: Lévy walks, large deviations and higher-order anomalous diffusion

Cites Work

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• On strong anomalous diffusion
• Large deviations in physics. The legacy of the law of large numbers
• Rare events and scaling properties in field-induced anomalous dynamics
• Complementary Densities of Lévy Walks: Typical and Rare Fluctuations
• Space-time fractional derivative operators
• Fractional Brownian Motions, Fractional Noises and Applications
• Applications of Faa Di Bruno's Formula in Mathematical Statistics
• Statistics of the occupation time of renewal processes
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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