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It is known that the dynamics of planar billiards satisfies strong mixingproperties (e.g. exponential decay of correlations) provided that someexpansion condition on unstable curves is satisfied. This condition has beenshown to always hold for smooth dispersing planar billiards, but it needed tobe assumed separately in the case of dispersing planar billiards with cornerpoints. We prove that this expansion condition holds for any dispersing planarbilliard with corner points, no cusps and bounded horizon.

An expansion estimate for dispersing planar billiards with corner points