affine dynamics 1C1 regularity 1circle diffeomorphisms 1denjoy counterexample 1invariant Cantor set 1rotation number 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.DS2026
Denjoy examples of class with affine dynamics outside the invariant Cantor set
Victor Kleptsyn, Andrés Navas
The authors construct, for any irrational rotation number, a C¹ circle diffeomorphism (a Denjoy example) that is exactly affine on each interval of the complement of its invariant…
math.DG2025
The dimension of harmonic currents on foliated complex surfaces
Bertrand Deroin, Christophe Dupont, Victor Kleptsyn
Let be a singular holomorphic foliation on an algebraic complex surface , with hyperbolic singularities and no foliated cycle. We prove a formula for the transvers…