Topologically mixing suspension flows over shift spaces
Copyright policy )Topologically mixing suspension flows over shift spaces
We establish necessary and sufficient conditions for suspension flows over certain families of shift spaces to be topologically mixing. We also show the similarities and differences between this case and the smooth measure theoretic setting on a manifold. Additionally, we show that the set of roof functions defined on a shift space that produce suspension flows that are not topologically mixing is dense in the set of all continuous roof functions.
35 pages
Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), Topological entropy, topological mixing, symbolic dynamics, suspension flows, Stability of topological dynamical systems, Ergodicity, mixing, rates of mixing, FOS: Mathematics, Symbolic dynamics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 37B10 (Primary) 37B25, 37B99 (Secondary)
Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), Topological entropy, topological mixing, symbolic dynamics, suspension flows, Stability of topological dynamical systems, Ergodicity, mixing, rates of mixing, FOS: Mathematics, Symbolic dynamics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 37B10 (Primary) 37B25, 37B99 (Secondary)
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