TOPICS
Search

Topological Entropy


The topological entropy of a map M is defined as

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

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 Measure

Explore with Wolfram|Alpha

References

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

Referenced on Wolfram|Alpha

Topological Entropy

Cite this as:

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

Subject classifications