2 papers
math.DS2025
Discontinuous observables as an obstruction for small essential spectral radius
Oliver Butterley, Daniel Smania
We show that for a very wide class of Banach spaces of functions on [0,1] there are intrinsic lower bounds for the essential spectral radius of the transfer operator associated to…
math.DS2019
Parabolic Flows Renormalized by Partially Hyperbolic Maps
Oliver Butterley, Lucia D. Simonelli
We consider parabolic flows on 3-dimensional manifolds which are renormalized by circle extensions of Anosov diffeormorphisms. This class of flows includes nilflows on the Heisenbe…