arXiv subjects

Nelson Moll

Publications and source records attributed to Nelson Moll.

2 recordsLinked to original sources

arXiv2025

Cohomological equation for geodesic flows on flat surfaces

We prove the existence of solutions of the cohomological equation for the geodesic flow on the unit tangent bundle of a compact flat surface with finitely many cone points. We also prove the ergodicity of the holonomy foliation for surfaces with non-rational holonomy, and the cohomology-free property of the horizontal foliated Laplacian under a simultaneous Diophantine condition.

math.DS↗

arXiv2023

Speed of Weak Mixing for the Chacon Map

We first consider a non-primitive substitution subshift that is conjugate to the Chacon map. We then derive spectral estimates for a particular subshift and the speed of weak mixing for a class of observables with certain regularity conditions. After, we use these results to find the speed of weak mixing for the Chacon map on the interval and show that this bound is essentially sharp.

math.DS↗