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Article Dans Une Revue Journal of modern dynamics Année : 2019

Dilation surfaces and their Veech groups

Résumé

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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Dates et versions

hal-02163449 , version 1 (24-06-2019)

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Eduard Duryev, Charles Fougeron, Selim Ghazouani. Dilation surfaces and their Veech groups. Journal of modern dynamics, 2019, 14 (1), pp.121-151. ⟨10.3934/jmd.2019005⟩. ⟨hal-02163449⟩
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