Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-23T09:17:22.420Z Has data issue: false hasContentIssue false
  • English
  • Français

A UNIFORM DISTRIBUTION RESULT FOR A BILLIARD IN A UNIT SQUARE

Published online by Cambridge University Press:  29 November 2005

E. ALKAN ,
T. V. SELVAKUMARAN  and
A. ZAHARESCU
E. ALKAN
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL, 61801, USA e-mail: [email protected], [email protected], [email protected]
T. V. SELVAKUMARAN
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL, 61801, USA e-mail: [email protected], [email protected], [email protected]
A. ZAHARESCU
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL, 61801, USA e-mail: [email protected], [email protected], [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we establish a uniform distribution result for the time spent by a billiard particle in the unit square having vertices (0,0), (1,0), (1,1), (0,1), with small triangular pockets of size $\epsilon$ removed from its corners.

Keywords

11B5711K36
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 3 , September 2005 , pp. 529 - 547
Copyright
2005 Glasgow Mathematical Journal Trust