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Beyond Expansion II: Low-Lying Fundamental Geodesics
Published 5 Jun 2014 in math.NT and math.DS | (1406.1366v2)
Abstract: A closed geodesic on the modular surface is "low-lying" if it does not travel "high" into the cusp. It is "fundamental" if it corresponds to an element in the class group of a real quadratic field. We prove the existence of infinitely many low-lying fundamental geodesics, answering a question of Einsiedler-Lindenstrauss-Michel-Venkatesh.
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