Cocyclic subshifts from Diophantine equations

DOI10.1080/14689367.2013.844225zbMath1294.37005OpenAlexW2001034252MaRDI QIDQ5406325

David Buhanan, Jaroslaw Kwapisz

Publication date: 1 April 2014

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2013.844225

zbMATH Keywords

Diophantine equationalgorithmically undecidablecocylic shift

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Index theory for dynamical systems, Morse-Conley indices (37B30)

Cites Work

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• When is a pair of matrices mortal?
• On some new invariants for shift equivalence for shifts of finite type
• Diophantine equations, Hilbert series, and undecidable spaces
• Examples of undecidable problems for 2-generator matrix semigroups
• Cocyclic subshifts
• Mortality in Matrix Semigroups
• Symbolic dynamics for nonhyperbolic systems
• Transfer operator, topological entropy and maximal measure for cocyclic subshifts
• Topological techniques for efficient rigorous computation in dynamics
• Hilbert's Tenth Problem is Unsolvable
• An Introduction to Symbolic Dynamics and Coding
• Shift equivalence and the Conley index
• Unsolvability in 3 × 3 Matrices
• A variant of a recursively unsolvable problem

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