Topological Entropy

The topological entropy of a map is defined as

$h_T(M)=sup_({W_i})h(M,{W_i}),$

where ${W_i}$ is a partition of a bounded region containing a probability measure which is invariant under , and sup is the supremum.

See also

Entropy, Mahler Measure

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References

Ott, E. Chaos in Dynamical Systems. New York: Cambridge University Press, pp. 143-144, 1993.

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Topological Entropy

Cite this as:

Weisstein, Eric W. "Topological Entropy." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TopologicalEntropy.html

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