Dilation surfaces and their Veech groups
Eduard DuryevIMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche (UPMC - 4 place Jussieu, Case 247 - 75252 Paris Cedex 5
UP7D - Campus des Grands Moulins - Bâtiment Sophie Germain, Case 7012- 75205 PARIS Cedex 13 - France)Charles FougeronMax Planck Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, GermanySelim GhazouaniWarwick Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
2019en
ABI
Аннотация
We introduce a class of objects which we call 'dilation surfaces'. These provide families of foliations on surfaces whose dynamics we are interested in. We present and analyze a couple of examples, and we define concepts related to these in order to motivate several questions and open problems. In particular we generalize the notion of Veech group to dilation surfaces, and we prove a structure result about these Veech groups.
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