Measure of full dimension for some nonconformal repellers

Details Measure of full dimension for some nonconformal repellers Measure of full dimension for some nonconformal repellers

2007-05-24

arxiv.org/abs/0705.3604v1

Mathematics

Dynamical Systems

11 pages

Scientific paper

We prove the existence of an ergodic measure with full Hausdorff dimension
for a class of nonlinear nonconformal skew-product transformations. In order to
do so we establish a variational principle for the topological pressure of
certain noncompact sets.

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