Analyticity of the affinity dimension for planar iterated function systems with matrices which preserve a cone

DOI10.1088/1361-6544/ab60d6zbMath1450.37039arXiv1904.07699OpenAlexW3105206572MaRDI QIDQ5216775

Natalia Jurga, Ian D. Morris

Publication date: 20 February 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.07699

zbMATH Keywords

global attractorHausdorff dimensioniterated function systemsub-additive pressure

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dimension theory of smooth dynamical systems (37C45)

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