Establishes asymptotic ergodic integrals for horocycle flows on abelian covers of negative-curvature surfaces and a power deviation estimate on compact surfaces without pinching.
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Horocycle flows on abelian covers of surfaces of negative curvature
Establishes asymptotic ergodic integrals for horocycle flows on abelian covers of negative-curvature surfaces and a power deviation estimate on compact surfaces without pinching.