Topological Entropy
The topological entropy of a map M is defined as
where {W_i} is a partition of a bounded region W containing a probability measure which is invariant under M, and sup is the supremum.
See also
Entropy, Mahler MeasureExplore with Wolfram|Alpha
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References
Ott, E. Chaos in Dynamical Systems. New York: Cambridge University Press, pp. 143-144, 1993.Referenced on Wolfram|Alpha
Topological EntropyCite this as:
Weisstein, Eric W. "Topological Entropy." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TopologicalEntropy.html