2 papers
math.DS2026
Linear Response for Bernoulli Convolutions
Jianning Fu
Let be the Bernoulli convolution measure with parameter . We study the regularity of the function %We prove that $h=h_Ï:λ\mapsto \int_{\mathbb{R}}Ï(x)\,dμ_Î…
math.DS2026
Linear Response for Contracting on Average Iterated Function Systems
Jianning Fu
Consider the following probabilistic contracting on average iterated function system $$Φ= \left\{f_i (x) = λ_i x + d_i,\;i=1,2 ;\;\; p = \left(\frac{1}{2} , \frac{1}{2}\right) \r…