Zobrazeno 1 - 10
of 19
pro vyhledávání: '"37D40, 32G15"'
We prove an effective slope gap distribution result first for the square torus and then for general lattice translation surfaces. As a corollary, we obtain a dynamical proof for an effective gap distribution result for the Farey fractions. As an inte
Externí odkaz:
http://arxiv.org/abs/2409.15660
Autor:
Boulanger, Julien, Pasquinelli, Irene
This paper focuses on intersection of closed curves on translation surfaces. Namely, we investigate the question of determining the intersection of two closed curves of a given length on such surfaces. This question has been investigated in several p
Externí odkaz:
http://arxiv.org/abs/2409.01711
Autor:
Boulanger, Julien
We are interested in the algebraic intersection of closed curves of a given length on translation surfaces. Namely, we study the quantity KVol which measures how many times can two closed curves of a given length intersect. In this paper, we construc
Externí odkaz:
http://arxiv.org/abs/2310.00130
Autor:
Boulanger, Julien
In this paper, we continue the study of intersections of closed curves on translation surfaces, initiated in by S. Cheboui, A. Kessi and D. Massart for a family of arithmetic Veech surfaces and the author, E. Lanneau and D. Massart for a family of no
Externí odkaz:
http://arxiv.org/abs/2309.17165
We study the function $$\mbox{KVol} : (X,\omega)\mapsto \mbox{Vol} (X,\omega) \sup_{\alpha,\beta} \frac{\mbox{Int} (\alpha,\beta)}{l_g (\alpha) l_g (\beta)}$$ defined on the moduli spaces of translation surfaces. More precisely, let $\mathcal T_n$ be
Externí odkaz:
http://arxiv.org/abs/2110.14235
We study the interplay between the diagonal flow on, and the topology of, a stratum component of a space of rooted quadratic differentials. We prove that the flow group -- the subgroup of the fundamental group generated by almost-flow loops -- equals
Externí odkaz:
http://arxiv.org/abs/2101.12197
Autor:
Sanchez, Anthony
We compute the gap distribution of directions of saddle connections for two classes of translation surfaces. One class will be the translation surfaces arising from gluing two identical tori along a slit. These yield the first explicit computations o
Externí odkaz:
http://arxiv.org/abs/2004.04182
We study an interval exchange transformation of [0,1] formed by cutting the interval at the points 1/n and reversing the order of the intervals. We find that the transformation is periodic away from a Cantor set of Hausdorff dimension zero. On the Ca
Externí odkaz:
http://arxiv.org/abs/1808.09989
Autor:
Gadre, Vaibhav, Matheus, Carlos
We analyse cusp excursions of random geodesics for Weil--Petersson type incomplete metrics on orientable surfaces of finite type: in particular, we give bounds for maximal excursions. We also give similar bounds for cusp excursions of random Weil--Pe
Externí odkaz:
http://arxiv.org/abs/1709.06355
Closed billiard trajectories in a polygon in the hyperbolic plane can be coded by the order in which they hit the sides of the polygon. In this paper, we consider the average length of cyclically related closed billiard trajectories in ideal hyperbol
Externí odkaz:
http://arxiv.org/abs/1607.07383