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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. 1. Introduction Let P = P(p/q, α) denote the polygon whose boundary is the union of the boundary of the unit square ∂([0, 1] × [0, 1]) and the interval { p/q} × [0, α] (see Figure 1). We consider billiard paths;… (More)

- Grady Bauer, Stern, Bielefeld Seiberg, Witten Seminar, Stefan Bauer, Manfred Lehn +5 others
- 1995

We give a self contained proof that for Kähler surfaces with non negative Kodaira dimension, the canonical class of the minimal model and the (−1)-curves, are oriented diffeomorphism invariants up to sign. This includes the case pg = 0. It implies that the Kodaira dimension is determined by the underlying differentiable manifold. We compute the Seiberg… (More)

- 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 F d (1, 1) are connected torus covers with Veech group SL 2 (Z). Using results of Eskin, Masur and Schmoll [EMS] we calculate χ(F d (1, 1)) and the parity of the spin… (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)

- 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)

- Helmut Kern, Ugo Carraro, Andrea Marcante, Alfonc Baba, Francesco Piccione, Karyn A. Esser +174 others
- 2016

This article is distributed under the terms of the Creative Commons AttributionNoncommercial 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.. Physical exercise is known to have beneficial effects on muscle trophism and force production… (More)

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)

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. 10.00 Functional rejuvenation in elderly: partially denervated muscle ES, selectivity and patterns for… (More)

- Stanley Salmons, Paolo Gargiulo, Kyle Edmunds, Sigurdur Sigurdsson, Ugo Carraro, Vilmundur Gudnason +272 others
- 2015

- 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.

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