3 papers
math.FA2025
On Spaceability within Linear Dynamics
Manuel Saavedra, Manuel Stadlbauer
We investigate spaceability phenomena in linear dynamics from a structural perspective. Given a continuous linear operator \(T:X \to X\), we introduce the set \(Ω(T)\), consisting…
math.DS2024
Amenable graphs and the spectral radius of extensions of Markov maps
Johannes Jaerisch, Elaine Rocha, Manuel Stadlbauer
We discuss relations between the amenability of a graph and spectral properties of a random walk driven by a dynamical system. In order to include graphs which are not locally comp…
math.FA2024
Quasi-rigid operators and hyper-recurrence
Manuel Saavedra, Manuel Stadlbauer
We study recurrent operators from a new perspective by introducing the notion of hyper-recurrent operators and establish robust connections with quasi-rigid operators. For example,…