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math.DS2026
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…
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 -undistorted diffeomorphisms of the interval that are -distorted (for every ).…