Perron-Frobenius theory and frequency convergence for reducible substitutions

DOI10.3934/dcds.2017015zbMath1402.37014arXiv1605.02242OpenAlexW4313485732MaRDI QIDQ501439

Caglar Uyanik, Martin Lustig

Publication date: 9 January 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02242

zbMATH Keywords

frequenciesPerron-Frobenius theoryreducible matricesreducible substitutions

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Basic linear algebra (15A99) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (4)

North-South type dynamics of relative atoroidal automorphisms of free groups on a relative space of currents ⋮ Graph towers, laminations and their invariant measures ⋮ Hyperbolic extensions of free groups from atoroidal ping-pong ⋮ North–South dynamics of hyperbolic free group automorphisms on the space of currents

Cites Work

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• Invariant measures for subshifts arising from substitutions of some primitive components
• Substitution dynamical systems. Spectral analysis
• The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
• Algebraic eigenspaces of nonnegative matrices
• On sets of eigenvalues of matrices with prescribed row sums and prescribed graph
• Z-matrix equations in max-algebra, nonnegative linear algebra and other semirings
• Invariant measures on stationary Bratteli diagrams
• North–South dynamics of hyperbolic free group automorphisms on the space of currents
• Infinite words with uniform frequencies, and invariant measures

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