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We prove that on the typical translation surface the flow in almost every pair of directions are not isomorphic to each other and are in fact disjoint. It was not known if there were any translation surfaces other than torus covers with this property. We provide an application to the convergence of ‘circle averages’ for the flow (away from a sequence of radii of density 0) for such surfaces. Even the density of a sequence of ‘circles’ was only known in a few special examples.

Circle averages and disjointness in typical translation surfaces on every Teichmüller disc