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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…
math.DS2021
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…