@article {
author = {Hou, B. and Wang, X.},
title = {Entropy of a semigroup of maps from a set-valued view},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {6},
pages = {1821-1835},
year = {1999},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper, we introduce a new entropy-like invariant, named Hausdorff metric entropy, for finitely generated semigroups acting on compact metric spaces from a set-valued view and study its properties. We establish the relation between Hausdorff metric entropy and topological entropy of a semigroup defined by Bis. Some examples with positive or zero Hausdorff metric entropy are given. Moreover, some notions of chaos are also well generalized for finitely generated semigroups from a set-valued view.},
keywords = {Topological entropy,semigroups,entropy-like invariants,Hausdorff metric},
url = {http://bims.iranjournals.ir/article_1067.html},
eprint = {http://bims.iranjournals.ir/article_1067_479aa58a4bb53422d87b5956ff62afe4.pdf}
}