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In this paper we consider billiards in a square with a barrier. We use Ratner’s theorem to compute the asymptotics for the number of closed orbits.

- Martin Schmoll
- 2006

We study modular fibers of elliptic differentials, i.e. investigate spaces of coverings (Y, τ) → (C/Z ⊕ Zi, dz). For genus 2 torus covers with fixed degree we show, that the modular fibers Fd(1, 1) are connected torus covers with Veech group SL2(Z). Using results of Eskin, Masur and Schmoll [EMS] we calculate χ(Fd(1, 1)) and the parity of the spin structure… (More)

For a Veech surface (X, ω), we characterize Aff(X, ω) invariant subspaces of Xn and prove that non-arithmetic Veech surfaces have only finitely many invariant subspaces of very particular shape (in any dimension). Among other consequences we find copies of (X, ω) embedded in the moduli-space of translation surfaces. We study illumination problems in… (More)

- Martin Schmoll
- 2006

We give a description of asymptotic quadratic growth rates for geodesic segments on covers of Veech surfaces in terms of the modular fiber parameterizing coverings of a fixed Veech surface. To make the paper self contained we derive the necessary asymptotic formulas from the Gutkin-Judge formula. As an application of the method we define and analyze… (More)

- Martin Schmoll
- 2008

Asymptotic quadratic growth rates of saddle connections and families of periodic cylinders on translation tori with n marked points are studied. For any marking the existence of limits of the quadratic growth rate is shown using elementary methods (not Ratners theorem). We study the growth rate limit as function of the marking. Precise formulas for this… (More)

- Stanley Salmons, Paolo Gargiulo, +275 authors Carraro U
- 2015

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License (by-nc 3.0) which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. 145 Stimulation of denervated muscle: questions answered, questions raised

For a Veech surface (X, ω), we characterize Aff(X, ω) invariant subspaces of Xn and prove that non-arithmetic Veech surfaces have only finitely many invariant subspaces of very particular shape (in any dimension). Among other consequences we find copies of (X, ω) embedded in the moduli-space of translation surfaces. We study illumination problems in… (More)

- Michael Karbiener, Jonathan C. Jarvis, +5 authors Markus Gugatschka
- PloS one
- 2016

Age related atrophy of the laryngeal muscles -mainly the thyroarytenoid muscle (TAM)- leads to a glottal gap and consequently to a hoarse and dysphonic voice that significantly affects quality of life. The aim of our study was to reverse this atrophy by inducing muscular hypertrophy by unilateral functional electrical stimulation (FES) of the recurrent… (More)

- OMRI SARIG, Martin Schmoll
- 2012

We give a symbolic construction of Shunji Ito’s “transversal flow for a subshift of finite type” [I], along the lines of Vershik’s construction of an adic transformation. We then show how these flows arise naturally in the symbolic coding of horocycle flows on non-compact hyperbolic surfaces with finite area.

- Dirk Pette, Julien Gondin, +163 authors Hermann Lahnmüller
- European journal of translational myology
- 2017

s of the 2017Spring PaduaMuscleDays, Padua, Italy Eur J Transl Myol 2017;27(2):81-112 This article is distributed under the terms of the Creative Commons Attribution Noncommercial License (CC BY-NC 4.0) which permits any noncommercial use, distribution, and reproduction in any medium,provided the original author(s) and source are credited. 81 European… (More)