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math.DS2021
The Holonomy Inverse Problem
Mihajlo Cekić, Thibault Lefeuvre
Let be a smooth Anosov Riemannian manifold and the set of its primitive closed geodesics. Given a Hermitian vector bundle equipped with a…
math.DS2020★ 12 cited
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
Mihajlo Cekić, Benjamin Delarue, Semyon Dyatlov +1
We show that for a generic conformal metric perturbation of a compact hyperbolic 3-manifold with Betti number , the order of vanishing of the Ruelle zeta function at zero…
math.DS2019
Resonant spaces for volume preserving Anosov flows
Mihajlo Cekić, Gabriel P. Paternain
We consider Anosov flows on closed 3-manifolds preserving a volume form . Following Dyatlov and Zworski (2017) we study spaces of invariant distributions with values in the bund…