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arXiv:1606.06783 [math.DS]AbstractReferencesReviewsResources

On the uniqueness of an ergodic measure of full dimension for non-conformal repellers

Nuno Luzia

Published 2016-06-21Version 1

We give a subclass L of Non-linear Lalley-Gatzouras carpets and an open set U in L such that any carpet in U has a unique ergodic measure of full dimension. In particular, any Lalley-Gatzouras carpet which is close to a non-trivial general Sierpinski carpet has a unique ergodic measure of full dimension.

Categories: math.DS
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