EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 41 – 60 of 85

On the finite blocking property

Thierry Monteil (2005)

Annales de l’institut Fourier

A planar polygonal billiard $𝒫$ is said to have the finite blocking property if for every pair $(O, A)$ of points in $𝒫$ there exists a finite number of “blocking” points $B_{1}, \dots, B_{n}$ such that every billiard trajectory from $O$ to $A$ meets one of the $B_{i}$ ’s. Generalizing our construction of a counter-example to a theorem of Hiemer and Snurnikov, we show that the only regular polygons that have the finite blocking property are the square, the equilateral triangle and the hexagon. Then we extend this result to translation surfaces....

On the Hyperbolicity of Certain Planar Domains.

Takeo Ohsawa (1987)

Mathematische Zeitschrift

On the mulitplier of a repelling fixed point.

Lisa R. Goldberg (1994)

Inventiones mathematicae

On the period classes of Prym differentials. I.

R.C. Gunning (1980)

Journal für die reine und angewandte Mathematik

On the trajectories of a quadratic differential, I.

Wilfred Kaplan (1978)

Commentarii mathematici Helvetici

On the Zeros of Functions in the Bers Space

A. Fletcher, V. Marković (2004)

Publications de l'Institut Mathématique

Parity of the spin structure defined by a quadratic differential.

Lanneau, Erwan (2004)

Geometry & Topology

Periodic solitons and real algebraic curves.

S. M. Natanzon (1997)

Revista Matemática de la Universidad Complutense de Madrid

We describe a method of calculation of all physical algebraic-geometrical solutions of KP-equations.

Periods of harmonic Prym differentials on a compact Riemann surface.

Chueshev, V.V. (2002)

Sibirskij Matematicheskij Zhurnal

Poincaré series and holomorphic averaging.

David E. Barrett, Jeffrey Diller (1992)

Inventiones mathematicae

Quadratic differentials with prescribed singularities and pseudo-convex-Anosov diffeomorphisms.

John Smillie, Howard Masur (1993)

Commentarii mathematici Helvetici

Quasiconformal mappings and asymptotic geometry of manifolds.

Zorich, V.A. (2004)

Publications de l'Institut Mathématique. Nouvelle Série

Relations between holomorphic quadratic differentials II

Hershel M. Farkas (1981)

Compositio Mathematica

Sammlung von Formeln welche bei Anwendung der elliptischen und Rosenhain'schen Functionen gebraucht werden [Book]

Johannes Thomae (1876)

Sharp bounds for the intersection of nodal lines with certain curves

Junehyuk Jung (2014)

Journal of the European Mathematical Society

Let $Y$ be a hyperbolic surface and let $φ$ be a Laplacian eigenfunction having eigenvalue $- 1 / 4 - τ^{2}$ with $τ > 0$ . Let $N (φ)$ be the set of nodal lines of $φ$ . For a fixed analytic curve $γ$ of finite length, we study the number of intersections between $N (φ)$ and $γ$ in terms of $τ$ . When $Y$ is compact and $γ$ a geodesic circle, or when $Y$ has finite volume and $γ$ is a closed horocycle, we prove that $γ$ is “good” in the sense of [TZ]. As a result, we obtain that the number of intersections between $N (φ)$ and $γ$ is $O (τ)$ . This bound is sharp.

Currently displaying 41 – 60 of 85

Previous Page 3 Next