For a contracting-on-average IFS with affine maps where one contracts and one expands but their product is less than one, the expectation of suitable test functions under the stationary measure is differentiable in three cases with the derivative matching the formal one, while non-differentiable for
On absolute continuity of inhomo- geneous and contracting on average self-similar measures
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Linear Response for Contracting on Average Iterated Function Systems
For a contracting-on-average IFS with affine maps where one contracts and one expands but their product is less than one, the expectation of suitable test functions under the stationary measure is differentiable in three cases with the derivative matching the formal one, while non-differentiable for