We prove exponential correlation decay in dispersing billiard flows on the2-torus assuming finite horizon and lack of corner points. With applicationsaimed at describing heat conduction, the highly singular initial measures areconcentrated here on 1-dimensional submanifolds (given by standard pairs) andthe observables are supposed to satisfy a generalized H\"older continuityproperty. The result is based on the exponential correlation decay bound ofBaladi, Demers and Liverani obtained recentlyfor H\"older continuousobservables in these billiards. The model dependence of the bounds is alsodiscussed.
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