2 papers
math.FA2026
Chain recurrent shifts on trees
Andrew Mortensen, David Walmsley
We characterize when a weighted backward shift is chain recurrent on the () and spaces of a directed tree. The characterization is given in terms of…
math.FA2025
Ultra hypercyclicity and its connection to mixing properties
Martin Liu, David Walmsley, James Xue
Recently, two new topological properties for operators acting on a topological vector space were introduced: strong hypercyclicity and hypermixing. We introduce a new property call…