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paper

Non-uniqueness of ergodic measures with full Hausdorff dimension on a Gatzouras-Lalley carpet

arXiv:1111.2419 · doi:10.1088/0951-7715/24/9/010

Abstract

In this note, we show that on certain Gatzouras-Lalley carpet, there exist more than one ergodic measures with full Hausdorff dimension. This gives a negative answer to a conjecture of Gatzouras and Peres.