%0 Journal Article
%T Multifractal analysis for Birkhoff averages on Lalley-Gatzouras repellers
%A Henry WJ Reeve
%J Mathematics
%D 2010
%I arXiv
%X We consider the multifractal analysis for Birkhoff averages of continuous potentials on a class of non-conformal repellers corresponding to the self-affine limit sets studied by Lalley and Gatzouras. A conditional variational principle is given for the Hausdorff dimension of the set of points for which the Birkhoff averages converge to a given value. This extends a result of Barral and Mensi to certain non-conformal maps with a measure dependent Lyapunov exponent.
%U http://arxiv.org/abs/1008.0301v2