Exponential decay of expansive constants
Copyright policy )Exponential decay of expansive constants
A map $f$ on a compact metric space is expansive if and only if $f^n$ is expansive. We study the exponential rate of decay of the expansive constant of $f^n$. A major result is that this rate times box dimension bounds topological entropy.
- Central University of Finance and Economics China (People's Republic of)
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), Topological entropy, expansive, expansive constant, box dimension, generator, topological entropy, FOS: Mathematics, Lebesgue number, exponential decay, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Dimension theory in general topology
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), Topological entropy, expansive, expansive constant, box dimension, generator, topological entropy, FOS: Mathematics, Lebesgue number, exponential decay, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Dimension theory in general topology
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