Deviation of ergodic averages for rational polygonal billiards

Athreya, J. S.; Forni, G.

Duke Math. J., Tome 141 (2008) no. 1, p. 285-319 / Harvested from Project Euclid

Résumé

We prove a polynomial upper bound on the deviation of ergodic averages for almost all directional flows on every translation surface, in particular, for the generic directional flow of billiards in any Euclidean polygon with rational angles

Publié le : 2008-08-15
Classification: 32G15, 37A10

@article{1218716300,
     author = {Athreya, J. S. and Forni, G.},
     title = {Deviation of ergodic averages for rational polygonal billiards},
     journal = {Duke Math. J.},
     volume = {141},
     number = {1},
     year = {2008},
     pages = { 285-319},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1218716300}
}

Athreya, J. S.; Forni, G. Deviation of ergodic averages for rational polygonal billiards. Duke Math. J., Tome 141 (2008) no. 1, pp.  285-319. http://gdmltest.u-ga.fr/item/1218716300/