TY - JOUR
ID - 1067
TI - Entropy of a semigroup of maps from a set-valued view
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Hou, B.
AU - Wang, X.
AD - College of Mathematics, Jilin university, 130012, Changchun, P. R. China.
Y1 - 1999
PY - 1999
VL - 43
IS - 6
SP - 1821
EP - 1835
KW - Topological entropy
KW - semigroups
KW - entropy-like invariants
KW - Hausdorff metric
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_1067.html
L1 - http://bims.iranjournals.ir/article_1067_479aa58a4bb53422d87b5956ff62afe4.pdf
ER -