Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614552 | Journal of Mathematical Analysis and Applications | 2016 | 18 Pages |
Abstract
We extend the notion the topological entropy of a free semigroup action defined by Bufetov [6] to the case of a free semigroup action on a metric space not necessarily compact, provide some properties of this extended topological entropy, extend the topological analogue of the classical Abramov–Rokhlin formula for the entropy of a skew product transformations with respect to a metric space not necessarily compact and give some bounds for the entropy for some particular systems such as a free semigroup with m generators of affine transformations on p-dimensional torus and smooth maps on a Riemannian manifold.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yupan Wang, Dongkui Ma, Xiaogang Lin,