Physical measures for infinitely renormalizable Lorenz maps

DOI10.1017/etds.2016.43zbMath1390.37071arXiv1412.8041OpenAlexW2248079136MaRDI QIDQ4643261

Björn Winckler, Marco Martens

Publication date: 24 May 2018

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8041

zbMATH Keywords

renormalizable Lorenz mapstatistical behavior of orbits

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Universality and renormalization of dynamical systems (37E20)

Related Items (4)

The Lorenz Renormalization Conjecture ⋮ Existence of \(C^k\)-invariant foliations for Lorenz-type maps ⋮ Renormalization of symmetric bimodal maps with low smoothness ⋮ Hyperbolicity of renormalization for dissipative gap mappings

Cites Work

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• Quadratic maps without asymptotic measure
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• Absolutely continuous measures for certain maps of an interval
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• Algebraic topology for minimal Cantor sets
• Universal models for Lorenz maps
• A renormalization fixed point for Lorenz maps
• Chaotic period doubling
• The Lorenz attractor exists
• Distortion results and invariant Cantor sets of unimodal maps
• Deterministic Nonperiodic Flow
• What's new on Lorenz strange attractors?

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