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On unipotent flows in ℋ(1,1)

Authors :
Kariane Calta
Kevin Wortman
Source :
Ergodic Theory and Dynamical Systems. 30:379-398
Publication Year :
2009
Publisher :
Cambridge University Press (CUP), 2009.

Abstract

We 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).

Details

ISSN :
14694417 and 01433857
Volume :
30
Database :
OpenAIRE
Journal :
Ergodic Theory and Dynamical Systems
Accession number :
edsair.doi...........b6035949e2620465f0251d5d0570b034
Full Text :
https://doi.org/10.1017/s0143385709000108