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Article . 2006
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Angular self-intersections for closed geodesics on surfaces

Authors: Pollicott, Mark; Sharp, Richard;

Angular self-intersections for closed geodesics on surfaces

Abstract

In this note we consider asymptotic results for self-intersections of closed geodesics on surfaces for which the angle of the intersection occurs in a given arc. We do this by extending Bonahon’s definition of intersection forms for surfaces.

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Keywords

Orbit growth in dynamical systems, self-intersection, invariant measure, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), geodesic flow, Periodic orbits of vector fields and flows, Geodesics in global differential geometry, closed geodesic, Smooth ergodic theory, invariant measures for smooth dynamical systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
hybrid