|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Counting problem on
wind-tree models
Angel Pardo |
|
Geometry & Topology 22 (2018) 1483–1536
|
Abstract |
|
We study periodic wind-tree models, that is, billiards in the plane endowed with –periodically located identical connected symmetric right-angled obstacles. We give asymptotic formulas for the number of (isotopy classes of) closed billiard trajectories (up to –translations) on the wind-tree billiard. We also explicitly compute the associated Siegel–Veech constant for generic wind-tree billiards depending on the number of corners on the obstacle. |
PDF Access Denied
We have not been able to recognize your IP address
3.235.60.197
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
billiards, translations surfaces, periodic orbits, counting
problem, Siegel–Veech constants
|
Mathematical Subject Classification 2010
Primary: 37D50, 37C35
Secondary: 30F30, 37A40, 37D40
|
References |
Publication
Received: 23 May 2016
Revised: 23 January 2017
Accepted: 15 May 2017
Published: 16 March 2018
Proposed: Danny Calegari
Seconded: Anna Wienhard, Leonid Polterovich
|
Authors |
| Angel Pardo | |
| Institut de Mathématiques de
Marseille Aix-Marseille Université Marseille France |
|
