The eigenvalue problem for linear and affine iterated function systems

DOI10.1016/j.laa.2011.05.011zbMath1229.15008arXiv1004.5040OpenAlexW2168141426MaRDI QIDQ716425

Andrew Vince, Michael F. Barnsley

Publication date: 22 September 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.5040

zbMATH Keywords

eigenvalue problemiterated function systemjoint spectral radius

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Fractals (28A80)

Related Items

Transition phenomena for the attractor of an iterated function system* ⋮ Reich's iterated function systems and well-posedness via fixed point theory ⋮ Renormalization of the Hutchinson operator ⋮ A new fixed point theorem in the fractal space ⋮ Thresholds for one-parameter families of affine iterated function systems* ⋮ Fixed point theorems for nonlinear contractions with applications to iterated function systems ⋮ Developments in fractal geometry

Cites Work

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• Lyapunov indicator of discrete inclusions. I
• Sets of matrices all infinite products of which converge
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• Stability and paracontractivity of discrete linear inclusions
• Stability of discrete linear inclusion
• Asymptotic height optimization for topical IFS, Tetris heaps, and the finiteness conjecture
• An Elementary Counterexample to the Finiteness Conjecture
• Corrigendum/addendum to: Sets of matrices all infinite products of which converge

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