Existence of closed geodesics through a regular point on translation surfaces
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Annalen"
DOI: 10.1007/s00208-019-01897-2
Abstract: We show that on any translation surface, if a regular point is contained in some simple closed geodesic, then it is contained in infinitely many simple closed geodesics, whose directions are dense in $${\mathbb {RP}}^1$$… read more here.
Keywords: closed geodesics; simple closed; translation; translation surfaces ... See more keywords
SQUARE-INTEGRABILITY OF THE MIRZAKHANI FUNCTION AND STATISTICS OF SIMPLE CLOSED GEODESICS ON HYPERBOLIC SURFACES
Sign Up to like & getrecommendations! Published in 2020 at "Forum of Mathematics, Sigma"
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