Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Randecker, Anja"'
We determine the distribution of the number of saddle connections on a random translation surface of large genus. More specifically, for genus $g$ going to infinity, the number of saddle connections with lengths in a given interval $[\frac{a}{g}, \fr
Externí odkaz:
http://arxiv.org/abs/2412.08727
Autor:
Artigiani, Mauro, Randecker, Anja, Sadanand, Chandrika, Valdez, Ferrán, Weitze-Schmithüsen, Gabriela
We provide a complete classification of groups that can be realized as isometry groups of a translation surface $M$ with non-finitely generated fundamental group and no planar ends. Furthermore, we demonstrate that if $S$ has no non-displaceable subs
Externí odkaz:
http://arxiv.org/abs/2311.00158
Autor:
Randecker, Anja
These are the notes of a talk that I gave at the Weihnachtsworkshop 2017 in Saarbr\"ucken. It answered a question by Hooper and Trevi\~no on the Veech group of the golden ladder, a translation surface of infinite type.
Comment: 11 pages, 9 figur
Comment: 11 pages, 9 figur
Externí odkaz:
http://arxiv.org/abs/2212.12333
Autor:
Hernández, Jesús Hernández, Hrušák, Michael, Morales, Israel, Randecker, Anja, Sedano, Manuel, Valdez, Ferrán
We describe the topological behavior of the conjugacy action of the mapping class group of an orientable infinite-type surface $\Sigma$ on itself. Our main results are: (1) All conjugacy classes of $MCG(\Sigma)$ are meager for every $\Sigma$, (2) $MC
Externí odkaz:
http://arxiv.org/abs/2105.11282
We prove that the saddle connection graph associated to any half-translation surface is 4-hyperbolic and uniformly quasi-isometric to the regular countably infinite-valent tree. Consequently, the saddle connection graph is not quasi-isometrically rig
Externí odkaz:
http://arxiv.org/abs/2011.12975
Autor:
Randecker, Anja, Tiozzo, Giulio
We generalize the notion of cusp excursion of geodesic rays by introducing for any $k \geq 1$ the $k^{th}$ excursion in the cusps of a hyperbolic $N$-manifold of finite volume. We show that on one hand, this excursion is at most linear for geodesics
Externí odkaz:
http://arxiv.org/abs/1904.11581
For a half-translation surface (S,q), the associated saddle connection complex A(S,q) is the simplicial complex where vertices are the saddle connections on (S,q), with simplices spanned by sets of pairwise disjoint saddle connections. This complex c
Externí odkaz:
http://arxiv.org/abs/1810.00961
A translation structure equips a Riemann surface with a singular flat metric. Not much is known about the shape of a random translation surface. We compute an upper bound on the expected value of the covering radius of a translation surface in any st
Externí odkaz:
http://arxiv.org/abs/1809.10769
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:
Herrlich, Frank, Randecker, Anja
These notes discuss an infinite translation surface, introduced by Chamanara. We review his proof that the Veech group is a non-elementary Fuchsian group of the second kind which is generated by two parabolic elements.
Comment: 13 pages, 10 figu
Comment: 13 pages, 10 figu
Externí odkaz:
http://arxiv.org/abs/1612.06877