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math.DS2024
Bunching for relatively pinched metrics
Yannick Guedes Bonthonneau
We consider compact Riemannian manifolds whose curvature tensor is pointwise negatively pinched, and improve on the corresponding unstable bunching estimate from Hasselblatt's 1994…
math.DS2022
Resolvent of vector fields and Lefschetz numbers
Yann Chaubet, Yannick Guedes Bonthonneau
Dynamical series such as the Ruelle zeta function have become a staple in the study of hyperbolic flows. They are usually analyzed by relating them to the resolvent of the vector f…
math.DS2021
SRB measures for Anosov actions
Yannick Guedes Bonthonneau, Colin Guillarmou, Tobias Weich
Given a general Anosov action on a closed manifold, we study properties of certain invariant measures that have recently been introduced in \cite{BGHW20} using the t…