Time weighted entropies

Volume 84 / 2000

Jörg Schmeling Colloquium Mathematicum 84 (2000), 265-278 DOI: 10.4064/cm-84/85-1-265-278

Abstract

For invertible transformations we introduce various notions of topological entropy. For compact invariant sets these notions are all the same and equal the usual topological entropy. We show that for non-invariant sets these notions are different. They can be used to detect the direction in time in which the system evolves to highest complexity.

Authors

  • Jörg Schmeling

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