A note on the average shadowing property for expansive maps

作者：Kwietniak Dominik; Oprocha Piotr^*

来源：Topology and Its Applications, 2012, 159(1): 19-27.

DOI：10.1016/j.topol.2011.04.016

• Average shadowing property
• Shadowing
• Expansive map
• Weak mixing
• Transitivity

Let f be a continuous map of a compact metric space. Assuming shadowing for f we relate the average shadowing property of f to transitivity and its variants. Our results extend and complete the work of Sakai [K. Sakai, Various shadowing properties for positively expansive maps, Topology Appl. 131 (2003) 15-31].

• 出版日期2012-1-1