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arXiv:1111.2419 [math.DS]AbstractReferencesReviewsResources

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

Julien Barral, De-Jun Feng

Published 2011-11-10Version 1

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.

Journal: Nonlinearity 24 (2011), 2563-2567
Categories: math.DS, math.CA
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