Brought to you by:

A note on Hölder regularity of invariant distributions for horocycle flows

Published 16 September 2005 • 2005 IOP Publishing Ltd and London Mathematical Society
, , Citation Salvatore Cosentino 2005 Nonlinearity 18 2715 DOI 10.1088/0951-7715/18/6/015

Download Article PDF

Article metrics

101 Total downloads

Share this article

Author affiliations

1 CMAT—Centro de Matemática, Universidade do Minho, Campus de Gualtar, 4710 Braga, Portugal

Dates

  1. Received 7 March 2005
  2. Published

Buy this article in print

Journal RSS
Sign up for new issue notifications
0951-7715/18/6/2715

Abstract

We show that the invariant distributions for the horocycle flow on compact hyperbolic surfaces described by Flaminio and Forni (2003 Duke Math. J. 119 465–526) can be represented as distributions on the ideal circle tensorized with absolutely continuous measures, and use this information to derive their Hölder regularity.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue

Recommended by R de la Llave

Please wait… references are loading.
10.1088/0951-7715/18/6/015