Maximiliano Escayola

most citedSome examples of distorted interval diffeomorphisms of intermediate regularity

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

collaborators

5 papers

math.GR2026

Finitely generated groups of diffeomorphisms with prescribed critical regularity in every dimension

Maximiliano Escayola, Carl-Fredrik Nyberg-Brodda

Let $n \geq 2$ , and let $M$ be either the $n$ -dimensional sphere $S^{n}$ or the real projective space $RP^{n}$ . Given $α \geq 1$ , we construct a finitely generated group…

math.GR2026

Hyperbolicity and obstructions to PL actions of the circle

Leonardo Dinamarca, Maximiliano Escayola, Sang-hyun Kim +1

We investigate acylindrically hyperbolic groups acting on the circle by piecewise linear homeomorphisms. We prove that a finitely generated acylindrically hyperbolic group acting f…

math.DS2026

An exotic Denjoy example of class $C^{1}$

Maximiliano Escayola

We construct a $C^{1}$ -diffeomorphism of the circle having an invariant Cantor minimal set such that, when the lengths of the connected components of its complement are arranged in d…

math.DS2026

Critical regularity of nilpotent groups acting on one-dimensional compact manifolds

Maximiliano Escayola, Victor Kleptsyn

Given a finitely generated, torsion-free nilpotent group, we find the maximum possible (critical) regularity for its faithful actions by diffeomorphisms of the closed or half-open…

math.DS2020★ 2 cited

Some examples of distorted interval diffeomorphisms of intermediate regularity

Leonardo Dinamarca, Maximiliano Escayola

We improve a recent construction of Andrés Navas to produce the first examples of $C^{2}$ -undistorted diffeomorphisms of the interval that are $C^{1 + α}$ -distorted (for every $α < 1$ ).…