On unipotent flows in ℋ(1,1)-Reference-Cited by-同舟云学术

On unipotent flows in ℋ(1,1)

Published:2009-06-23 Issue:2 Volume:30 Page:379-398
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

CALTA KARIANE,WORTMAN KEVIN

Abstract

AbstractWe study the action of the horocycle flow on the moduli space of abelian differentials in genus two. In particular, we exhibit a classification of a specific class of probability measures that are invariant and ergodic under the horocycle flow on the stratum ℋ(1,1).

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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