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math.DS2022
Winding of geodesic rays chosen by a harmonic measure
Timothée Bénard
We prove limit theorems for the homological winding of geodesic rays distributed via a harmonic measure on a Gromov hyperbolic space. We obtain applications to the inverse problem…
math.DS2022
Exponential multiple mixing for commuting automorphisms of a nilmanifold
Timothée Bénard, Péter P. Varjú
Let and be an action of by automorphisms on a compact nilmanifold . We a…