Almost Anosov flows
Mike Todd
I will present a new class of perturbed Anosov flows which are uniformly hyperbolic except at one point. The non-uniform hyperbolicity at this point leads to the SRB measure satisfying stable laws or non-standard CLTs for natural observables. These properties are linked to the local behaviour of the pressure function. The techniques involve reducing the system to a suspension flow and building a functional analytic framework for the base system. This is joint work with H. Bruin and D. Terhesiu.
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