Juan Wang

HIGHER-DIMENSIONAL MULTIFRACTAL ANALYSIS ON $ C^1 $ NON-CONFORMAL REPELLERS

Let $ J $ be a repeller of an expanding and topologically mixing $ C^1 $-map $ g $, and $ \Phi=(\phi_1,\ldots,\phi_d): J\to\mathbb{R}^d $, $ \Psi=(\psi_1, \ldots,\psi_d): J\to(\mathbb{R}^+)^d $ be continuous functions. For a given compact (and possibly connected) subset $ C $, we...