Résumé : If a flow is sufficiently close to a volume-preserving Anosov flow and dim E_s = 1, dim E_u \geq 2 then the flow mixes exponentially whenever the stable and unstable foliations are not jointly integrable (similarly if the requirements on stable and unstable bundle are reversed). This implies the existence of non-empty open sets of exponentially mixing Anosov flows.
Joint work with Khadim War.
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