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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… Click to show full 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 have different scaling limits along different subsequences of times, and all such scaling limits can be described. Some of our results extend to other unipotent flows.
Keywords:
windings horocycles;
scaling limits;
asymptotic windings
Journal Title: Israel Journal of Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Israel Journal of Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!