A note on tilings and translation surfaces

Author	dc.contributor.author	Gambaudo, Jean Marc
Admission date	dc.date.accessioned	2009-04-07T10:44:25Z
Available date	dc.date.available	2009-04-07T10:44:25Z
Publication date	dc.date.issued	2006-02
Cita de ítem	dc.identifier.citation	ERGODIC THEORY AND DYNAMICAL SYSTEMS Volume: 26 Pages: 179-188 Part: Part 1 Published: FEB 2006	en
Identifier	dc.identifier.issn	0143-3857
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/124873
Abstract	dc.description.abstract	Consider a tiling T of the two-dimensional Euclidean space made with copies up to translation of a finite number of polygons meeting each other full edge to full edge. In this paper, we prove that, associated with T, there exists a tiling of a (compact) translation surface made with copies up to translation of some of the polygons used to construct T. Furthermore, when T is repetitive, there exists a tiling of a translation surface, made with copies up to translation of arbitrarily large polygons chosen in a finite collection of patches of T; each of these patches contain copies of all the polygons used to construct T.	en
Lenguage	dc.language.iso	en	en
Publisher	dc.publisher	CAMBRIDGE UNIV PRESS	en
Keywords	dc.subject	SPACES	en
Título	dc.title	A note on tilings and translation surfaces	en
Document type	dc.type	Artículo de revista