Spectral characterization of anomalous diffusion of a periodic piecewise linear intermittent map

DOI10.1016/S0167-2789(03)00160-XzbMath1054.82015arXivnlin/0303041OpenAlexW4253709170MaRDI QIDQ5893866

Pierre Gaspard, Shuichi Tasaki

Publication date: 10 August 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0303041

zbMATH Keywords

scaling limitsLévy flightAnomalous diffusionGeneralized eigenfunctionsGeneralized spectral decompositionIntermittent mapFrobenius-Perron operator eigenfunctionsstatistical-average evolution

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Low-dimensional dynamical systems (37E99) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (2)

INTERMITTENT OPERATION OF LINEAR DRIVEN SWITCHED SYSTEMS ⋮ Weak Chaos, Infinite Ergodic Theory, and Anomalous Dynamics

Cites Work

• An extension of the theory of Fredholm determinants
• The differential zeta function for axiom A attractors
• Hard ball systems and the Lorentz gas
• Spectral properties of a piecewise linear intermittent map
• Lévy flights and related topics in physics. Proceedings of the international workshop, held at Nice, France, 27-30 June, 1994
• Fractal dimensions of the hydrodynamic modes of diffusion
• Dynamical Systems That Produce the Levy Flights
• Fractal dimensionality of Lévy processes
• Chaos, Scattering and Statistical Mechanics
• An Introduction to Chaos in Nonequilibrium Statistical Mechanics
• Unnamed Item

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