Repeller structure in a hierarchical model. II: Metric properties

DOI10.1007/BF01329851zbMath0952.37503OpenAlexW1987920776WikidataQ61763222 ScholiaQ61763222MaRDI QIDQ1279148

Roberto Livi, Antonio Z. Politi, Stefano Ruffo

Publication date: 18 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf01329851

zbMATH Keywords

phase transitionslocalizationmultifractalityhierarchical structuresstrange repellers

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items (3)

Chaotic repellers in the antiferromagnetic Ising model ⋮ Repeller structure in a hierarchical model. I: Topological properties ⋮ Towards a statistical mechanics of spatiotemporal chaos

Cites Work

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• Symbolic dynamics for the renormalization map of a quasiperiodic Schrödinger equation
• The spectrum of a quasiperiodic Schrödinger operator
• Cantor spectrum and singular continuity for a hierarchical Hamiltonian
• Repeller structure in a hierarchical model. I: Topological properties
• The spectrum of a one-dimensional hierarchical model.
• Recycling of strange sets: I. Cycle expansions
• Fractal measures and their singularities: The characterization of strange sets

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