48 citations · 272 across the 33 of their papers we have counts for
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math.DS2011★ 10 cited
Non-uniqueness of ergodic measures with full Hausdorff dimension on a Gatzouras-Lalley carpet
Julien Barral, De-Jun Feng
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 conjectur…
math.CA2011
Multifractal formalism for almost all self-affine measures
Julien Barral, De-Jun Feng
We conduct the multifractal analysis of self-affine measures for "almost all" family of affine maps. Besides partially extending Falconer's formula of -spectrum outside the ra…
math.DS2011
Localized asymptotic behavior for almost additive potentials
Julien Barral, Yan-Hui Qu
We conduct the multifractal analysis of the level sets of the asymptotic behavior of almost additive continuous potentials on a topologically mixing subshift o…