Fractional dynamics, irreversibility and ergodicity breaking

DOI10.1016/0960-0779(95)00027-2zbMath0907.58039OpenAlexW2062316253MaRDI QIDQ1129327

Rudolf Hilfer

Publication date: 16 August 1998

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(95)00027-2

zbMATH Keywords

phase transitionsergodic theoryergodicity breaking

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory (37A99)

Related Items (10)

Unnamed Item ⋮ Anomalous diffusion originated by two Markovian hopping-trap mechanisms ⋮ THE FINITE-DIFFERENCE METHOD OF ONE-DIMENSIONAL NONLINEAR SYSTEMS ANALYSIS ⋮ Generalized transport equation with nonlocality of space-time. Zubarev's NSO method ⋮ An inverse source problem for a two parameter anomalous diffusion equation with nonlocal boundary conditions ⋮ Fractional integro-differential calculus and its control-theoretical applications. I: Mathematical fundamentals and the problem of interpretation ⋮ Recovering source term and temperature distribution for nonlocal heat equation ⋮ The random walk's guide to anomalous diffusion: A fractional dynamics approach ⋮ Generalized diffusion equation with fractional derivatives within Renyi statistics ⋮ Chaos, fractional kinetics, and anomalous transport

Cites Work

• Fractional powers of closed operators and the semigroups generated by them
• Semigroups of linear operators and applications to partial differential equations
• Fractional diffusion equation on fractals; Self-similar stationary solutions in a force field derived from a logarithmic potential
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• FOUNDATIONS OF FRACTIONAL DYNAMICS
• Fractional integral and differential equations for a class of Levy-type probability densities
• An Approach to Fractional Powers of Operators via Fractional Differences
• EXACT SOLUTIONS FOR A CLASS OF FRACTAL TIME RANDOM WALKS
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