3 papers
math.DS2025
Polynomial Tail Decay for Stationary Measures
Samuel Kittle, Constantin Kogler
We show on complete metric spaces a polynomial tail decay for stationary measures of contracting on average generating measures.
math.DS2025
Dimension of contracting on average self-similar measures
Samuel Kittle, Constantin Kogler
We generalise Hochman's theorem on the dimension of self-similar measures to contracting on average measures and show that a weaker condition than exponential separation on all sca…
math.PR2025
Entropy Theory for Random Walks on Lie Groups
Samuel Kittle, Constantin Kogler
We develop entropy and variance results for the product of independent identically distributed random variables on Lie groups. Our results apply to the study of stationary measures…