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By Rafael de la Llave, José Manuel Marco, Roberto Moriyón.

Bulletin of the American Mathematical Society 12(1), pages 91–94.

Author-uploaded scan: www.researchgate.net/publication/38390562_Canonical_perturbation_theory_of_Anosov_systems_and_regularity_results_for_the_Livsic_cohomology_equation

José Manuel Marco coauthored the regularity theory of the Livšic cohomological equation with Rafael de la Llave and Roberto Moriyón. The official publisher record verifies this exact name.^[ref]

Their work connects equations arising in Anosov diffeomorphisms and Anosov flows with regularity of their solutions. Solvability alone leaves a geometric question: does a transfer function inherit the smooth structure required by the application?

Rafael de la Llave studies dynamical systems. With José Manuel Marco and Roberto Moriyón, he developed regularity results for the Livšic cohomological equation in Anosov diffeomorphisms and Anosov flows.^[ref]

The question concerns how the smoothness of the input function controls a transfer function solving the equation. Such results are essential when translating hyperbolic dynamical information into smooth geometric information.

Roberto Moriyón worked with Rafael de la Llave and José Manuel Marco on canonical perturbation methods and regularity for the Livšic cohomological equation.^[ref]

In a hyperbolic setting, periodic trajectories impose compatibility conditions on the equation's data. Understanding when compatible data yield smooth transfer functions links dynamical systems, geometric rigidity and analysis.