Unipotent flows on the space of branched covers of Veech surfaces
نویسندگان
چکیده
منابع مشابه
Unipotent flows on the space of branched covers of Veech surfaces
There is a natural action of SL(2,R) on the moduli space of translation surfaces, and this yields an action of the unipotent subgroup U = {( 1 ∗ 0 1 )} . We classify the U -invariant ergodic measures on certain special submanifolds of the moduli space. (Each submanifold is the SL(2,R)-orbit of the set of branched covers of a fixed Veech surface.) For the U -action on these submanifolds, this is...
متن کامل0 v 1 [ m at h . D S ] 6 A ug 2 00 4 Unipotent flows on the space of branched covers of Veech surfaces
There is a natural action of SL(2, R) on the moduli space of translation surfaces, and this yields an action of the unipotent subgroup U = 1 * 0 1. We classify the U-invariant ergodic measures on certain special submanifolds of the moduli space. (Each submanifold is the SL(2, R)-orbit of the set of branched covers of a fixed Veech surface.) For the U-action on these submanifolds, this is an ana...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2005
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385705000234