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affine dynamics 1C1 regularity 1circle diffeomorphisms 1denjoy counterexample 1invariant Cantor set 1rotation number 1

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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…