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arXiv · 1111.2419

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

Julien Barral·De-Jun Feng
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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.

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Julien Barral, De-Jun Feng. 2011-11-10. Non-uniqueness of ergodic measures with full Hausdorff dimension on a Gatzouras-Lalley carpet. https://doi.org/10.1088/0951-7715%2F24%2F9%2F010

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