Repeller structure in a hierarchical model. I: Topological properties

DOI10.1007/BF01329850zbMath0952.37502WikidataQ61763221 ScholiaQ61763221MaRDI QIDQ1279147

Roberto Livi, Antonio Z. Politi, Stefano Ruffo

Publication date: 18 January 2001

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

zbMATH Keywords

Schrödinger operatorrenormalization grouplocalizationhierarchical structuresstrange repellers

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Renormalization group methods in equilibrium statistical mechanics (82B28) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items

Periodic orbits in a two-variable coupled map ⋮ Repeller structure in a hierarchical model. II: Metric properties

Cites Work

• Strange objects in the complex plane
• 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. II: Metric properties
• One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum
• The spectrum of a one-dimensional hierarchical model.