LAUSR

Asymptotic windings of horocycles

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1 Published in 2018 at "Israel Journal of Mathematics"

DOI: 10.1007/s11856-018-1761-6

Abstract: We analyze the scaling limits of the winding process for horocycles on noncompact hyperbolic surfaces with finite area. Initial conditions with precompact forward geodesics have scaling limits with gaussian and Cauchy components. Typical initial conditions… read more here.

Keywords: windings horocycles; scaling limits; asymptotic windings;