1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
A nonstandard-analytic proof of a theorem regarding noncommutative ergodic optimizations
Aidan Young
In a previous article, we extended the notion of ergodic optimization to the setting of C*-dynamical systems of countable discrete groups. Among the key results of that paper was t…
Noncommutative Ergodic Optimization and Unique Ergodicity
Aidan Young
We extend the theory of ergodic optimization and maximizing measures to the non-commutative field of C*-dynamical systems. We then employ this ergodic optimization machinery to pro…
Spatial-Temporal Differentiation Theorems
Idris Assani, Aidan Young
Let be a dynamical system where is a compact metric space with Borel -algebra , and is a probability measure that's ergodic with re…