44 citations · 148 across the 28 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.SP2015★ 8 cited
Improved fractal Weyl bounds for hyperbolic manifolds
Semyon Dyatlov, David Borthwick, Tobias Weich
We give a new fractal Weyl upper bound for resonances of convex co-compact hyperbolic manifolds in terms of the dimension of the manifold and the dimension of its limit set…
math.DS2015★ 5 cited
On the support of Pollicott-Ruelle resonant states for Anosov flows
Tobias Weich
We show that all generalized Pollicott-Ruelle resonant states of a topologically transitiv -Anosov flow with an arbitrary potential, have full support.
math.DS2015★ 1 cited
Asymptotic spectral gap for open partially expanding maps
Frédéric Faure, Tobias Weich
We consider a -extension of one dimensional uniformly expanding open dynamical systems and prove a new explicit estimate for the asymptotic spectral gap. To get these r…