TOPOLOGICAL-ENTROPY OF GENERALIZED POLYGON EXCHANGES

Authors
GUTKIN E HAYDN N
Citation
E. Gutkin et N. Haydn, TOPOLOGICAL-ENTROPY OF GENERALIZED POLYGON EXCHANGES, Bulletin, new series, of the American Mathematical Society, 32(1), 1995, pp. 50-56
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Bulletin, new series, of the American Mathematical Society → ACNP
ISSN journal
02730979
Volume
32
Issue
1
Year of publication
1995
Pages
50 - 56
Database
ISI
SICI code
0273-0979(1995)32:1<50:TOGPE>2.0.ZU;2-3
Abstract
We obtain geometric upper bounds on the topological entropy of general ized polygon exchange transformations. As an application of our result s, we show that billiards in polygons and rational polytops have zero topological entropy.