Thu, September 12, 2019
3:00 pm - 4:00 pm
Math Tower 154
Title: Open sets of exponentially mixing Anosov flows
Speaker: Khadim War, IMPA and University of Chicago
Abstract: We prove that an Anosov flow with C^1 stable bundle mixes exponentially whenever the stable and unstable bundles are not jointly integrable. This allows us to show that if a flow is sufficiently close to a volume-preserving Anosov flow and dim(E^s) = 1, dim(E^u) ≥ 2 then the flow mixes exponentially whenever the stable and unstable bundles are not jointly integrable. This implies the existence of non-empty open sets of exponentially mixing Anosov flows. This is based on a joint work with Oliver Butterley.