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math.DS2019★ 3 cited
Transfer operator for ultradifferentiable expanding maps of the circle
Malo Jézéquel
Given a expanding map of the circle, we construct a Hilbert space of smooth functions on which the transfer operator associated…
math.DS2019★ 3 cited
Global trace formula for ultra-differentiable Anosov flows
Malo Jézéquel
Adapting tools that we introduced in [19] to study Anosov flows, we prove that the trace formula conjectured by Dyatlov and Zworski in [12] holds for Anosov flows in a certain clas…