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.
@article{bwmeta1.element.bwnjournal-article-cmv84i1p265bwm,
author = {J\"org Schmeling},
title = {Time weighted entropies},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {265-278},
zbl = {0959.37014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv84i1p265bwm}
}
Schmeling, Jörg. Time weighted entropies. Colloquium Mathematicae, Tome 84/85 (2000) pp. 265-278. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv84i1p265bwm/
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