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

Published 21 Jun 2016 in math.DS | (1606.06783v1)

Abstract: 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.

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Nuno Luzia

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