Effective counting on translation surfaces

Amos Nevo, René Rühr, Barak Weiss

Type: Article

Publication Date: 2019-11-12

Citations: 7

DOI: https://doi.org/10.1016/j.aim.2019.106890

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Locations

Advances in Mathematics - View
arXiv (Cornell University) - View - PDF

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+	Counting pairs of saddle connections	2022	J. S. Athreya S. Fairchild H. Masur
+ PDF Chat	ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES	2020	Vincent Delecroix Élise Goujard Peter Zograf Anton Zorich
+ PDF Chat	Counting saddle connections in a homology class modulo <inline-formula><tex-math id="M1">$ \boldsymbol q $</tex-math></inline-formula> (with an appendix by Rodolfo Gutiérrez-Romo)	2019	Michael Magee René Rühr
+ PDF Chat	On convergence of random walks on moduli space	2021	Roland Prohaska
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+ PDF Chat	Uniform distribution of saddle connection lengths in all $$\textsf{SL}(2,\pmb {\mathbb {R}})$$ orbits	2023	Donald Robertson Benjamin Dozier
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Works Cited by This (18)

Action	Title	Year	Authors
+	Frontiers in Number Theory, Physics, and Geometry I	2006	Pierre Cartier Pierre Vanhove Pierre Moussa B. Juliá
+	Counting Problems in Moduli Space	2006	Alex Eskin
+	Rational billiards and flat structures	2002	Howard Masur Serge Tabachnikov
+	Asymptotic formulas on flat surfaces	2001	Alex Eskin Howard Masur
+	Upper Bounds and Asymptotics in a Quantitative Version of the Oppenheim Conjecture	1998	Alex Eskin G. A. Margulis Shahar Mozes
+ PDF Chat	Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel–Veech constants	2003	Alex Eskin Howard Masur Anton Zorich
+ PDF Chat	Exponential mixing for the Teichmüller flow	2006	Artur Avila Sébastien Gouëzel Jean-Christophe Yoccoz
+ PDF Chat	The growth rate of trajectories of a quadratic differential	1990	Howard Masur
+ PDF Chat	Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow	2013	Artur Avila Sébastien Gouëzel
+ PDF Chat	The rate of mixing for geodesic and horocycle flows	1987	Marina Ratner