文献类型：期刊文献

英文题名：Several sufficient conditions for a map and a semi-flow to be ergodically sensitive

作者：Li, Risong[1]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang, Peoples R China

年份：2018

卷号：33

期号：2

起止页码：348

外文期刊名：DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL

收录：SCI-EXPANDED(收录号：WOS:000430481600010)、、EI(收录号：20173804173583)、Scopus(收录号：2-s2.0-85029423441)、WOS

基金：Project of Enhancing School With Innovation of Guangdong Ocean University [grant number GDOU2016050207]; the Key Scientific and Technological Research Project of Science and Technology Department of Zhanjiang City [grant number 2010C3112005].

语种：英文

外文关键词：Sensitivity; topologically weak mixing; topologically strong ergodicity; ergodic sensitivity; measure-preserving semi-flow

外文摘要：In this paper, we are concerned solely with the ergodic sensitivity for maps (resp. semi-flows), where these maps and semi-flows may not be continuous (in topology). A few new sufficient conditions under which a map (resp. a semi-flow) on a metric space is ergodically sensitive are presented, where such maps and semi-flows may not be continuous (in topology). In particular, we prove that the topologically strong ergodicity of a measure-preserving map (resp. a measure-preserving semi-flow) on a metric probability space with a fully supported measure implies its ergodical sensitivity.