3 papers
math.OA2023
Noncommutative Ergodic Optimization
Aidan Young
We extend the theory of ergodic optimization and maximizing measures to the non-commutative field of C*-dynamical systems. We then provide a result linking the ergodic optimization…
math.DS2023
Temporo-spatial differentiations for actions of locally compact groups
Aidan Young
In this paper, we extend the notion of temporo-spatial differentiation problems to the setting of actions of more general topological groups. The problem can be expressed as follow…
math.DS2023
Temporo-spatial differentiations with respect to finite unions of balls
Aidan Young
Here we study temporo-spatial differentiation problems with respect to sequences of finite unions of balls. We establish several convergence results, as well as construct pathologi…