3 problems

Let $T$ be the piecewise expanding map, let $g\ge 0$ be its weight, let $\mathcal{H}^t_p$ be the associated fractional Sobolev space, let $\alpha$ be the regularity parameter, and…

Let $J=[-1/2,1/2]$ and consider the topologically exact Lorenz-type piecewise expanding map described in the paper, with a countable monotonicity partition, singular set consisting…

Existence conjecture. An absolutely continuous invariant measure exists for $G_\alpha$ also when