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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.DS2024
On absolute continuity of inhomogeneous and contracting on average self-similar measures
Samuel Kittle, Constantin Kogler
We give a condition for absolute continuity of self-similar measures in arbitrary dimensions. This allows us to construct the first explicit absolutely continuous examples of inhom…