Multifractal analysis for Birkhoff averages on Lalley-Gatzouras repellers

Henry W. J. Reeve. "Multifractal analysis for Birkhoff averages on Lalley-Gatzouras repellers." Fundamenta Mathematicae 212.1 (2011): 71-93. <http://eudml.org/doc/283141>.

@article{HenryW2011,
abstract = {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.},
author = {Henry W. J. Reeve},
journal = {Fundamenta Mathematicae},
keywords = {multifractal analysis; Lalley-Gatzouras repellers; Birkhoff average; Hausdorff dimension; Lalley-Gatzouras systems},
language = {eng},
number = {1},
pages = {71-93},
title = {Multifractal analysis for Birkhoff averages on Lalley-Gatzouras repellers},
url = {http://eudml.org/doc/283141},
volume = {212},
year = {2011},
}

TY - JOUR
AU - Henry W. J. Reeve
TI - Multifractal analysis for Birkhoff averages on Lalley-Gatzouras repellers
JO - Fundamenta Mathematicae
PY - 2011
VL - 212
IS - 1
SP - 71
EP - 93
AB - 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.
LA - eng
KW - multifractal analysis; Lalley-Gatzouras repellers; Birkhoff average; Hausdorff dimension; Lalley-Gatzouras systems
UR - http://eudml.org/doc/283141
ER -