4 problems

Let $(T_{\gamma},X,\mu)$ be an LSV map of the unit interval with $\gamma\geq 0$, and let $\phi(x)=d(x,x_0)^{-1/\alpha}$ for $x_0\in(0,1]$ and $0<\alpha<1$. Consider the normalized…

Consider the maps in with parameters independently and uniformly distributed in an interval $[\gamma^-,\gamma^+]$, and consider measures with Hölder densities. The previously known…

Let $f:X\to X$ be a nonuniformly expanding map, let $v:X\to{\mathbb R}$ be a Hölder observable, and define the power spectrum, where it exists, by … A different argument shows that…

Negative-parameter linear response conjecture. The preceding linear response results also hold for $\alpha<0$ in some parameter range.