Fabian Contreras

most citedRegularity of absolutely continuous invariant measures for piecewise expanding unimodal maps

2 citations · 3 across the 2 of their papers we have counts for

collaborators

2 papers

math.DS2016★ 1 cited

Modulus of continuity of averages of SRB measures for a transversal family of piecewise expanding unimodal maps

Fabian Contreras

Let $f_{t} : [0, 1] \to [0, 1]$ be a family of piecewise expanding unimodal maps with a common critical point that is dense for almost all $t \in [a, b]$ . If $μ_{t}$ is the corresponding SR…

math.DS2015★ 2 cited

Regularity of absolutely continuous invariant measures for piecewise expanding unimodal maps

Fabian Contreras, Dmitry Dolgopyat

Let $f : [0, 1] \to [0, 1]$ be a piecewise expanding unimodal map of class $C^{k + 1}$ , with $k \geq 1$ , and $μ = ρ d x$ the (unique) SRB measure associated to it. We study the regulari…