2 citations · 3 across the 4 of their papers we have counts for
6 papers
Finitely generated groups of diffeomorphisms with prescribed critical regularity in every dimension
Maximiliano Escayola, Carl-Fredrik Nyberg-Brodda
Let , and let be either the -dimensional sphere or the real projective space . Given , we construct a finitely generated group…
Hyperbolicity and obstructions to PL actions of the circle
Leonardo Dinamarca, Maximiliano Escayola, Sang-hyun Kim +1
We prove the following ``Torus Trichotomy Theorem'': every finitely generated subgroup of $\pls$ is either virtually free, a central extension of a cocompact Fuchsian group by a fi…
An exotic Denjoy example of class
Maximiliano Escayola
We construct a -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…
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…
On the critical regularity of nilpotent groups acting on the interval: the metabelian case
Maximiliano Escayola, Cristóbal Rivas
Let be a torsion-free, finitely-generated, nilpotent and metabelian group. In this work we show that embeds into the group of orientation preserving -diffeomorphis…
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 -undistorted diffeomorphisms of the interval that are -distorted (for every ).…