The maximal injectivity radius of hyperbolic surfaces with geodesic boundary
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DOI: 10.1007/s10711-020-00535-5
Abstract: We give sharp upper bounds on the injectivity radii of complete hyperbolic surfaces of finite area with some geodesic boundary components. The given bounds are over all such surfaces with any fixed topology; in particular,… read more here.
Keywords: injectivity radius; radius hyperbolic; geodesic boundary; hyperbolic surfaces ... See more keywords
SQUARE-INTEGRABILITY OF THE MIRZAKHANI FUNCTION AND STATISTICS OF SIMPLE CLOSED GEODESICS ON HYPERBOLIC SURFACES
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DOI: 10.1017/fms.2019.49
Abstract: Given integers $g,n\geqslant 0$ satisfying $2-2g-n read more here.
Keywords: mirzakhani function; hyperbolic surfaces; simple closed; function ... See more keywords
Limits of harmonic maps and crowned hyperbolic surfaces
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DOI: 10.1090/tran/7777
Abstract: We consider harmonic diffeomorphisms to a fixed hyperbolic target Y Y from a family of domain Riemann surfaces degenerating along a Teichmüller ray. We use the work of Minsky to show that there is a… read more here.
Keywords: maps crowned; hyperbolic surfaces; harmonic maps; limits harmonic ... See more keywords