22 citations · 24 across the 4 of their papers we have counts for
4 papers
Multifractal spectra of Moran measures without local dimension
Zhihui Yuan
A measure without local dimension is a measure such that local dimension does not exist for any point in its support. In this paper, we construct such a class of Moran measures and…
Shrinking target problem for random iterated function systems
Zhihui Yuan
We describe the shrinking target problem for random iterated function systems which semi-conjugate to a random subshifts of finite type. We get the Hausdorff dimension of the set b…
Multifractal formalism for inverse measures of random weak Gibbs measures
Zhihui Yuan
Any Borel probability measure supported on a Cantor set of zero Lebesgue measure on the real line possesses a discrete inverse measure. We study the validity of the multifractal fo…
Multifractal analysis of random weak Gibbs measures
Zhihui Yuan
We describe the multifractal nature of random weak Gibbs measures on some class of attractors associated with random dynamics semi-conjugate to a random subshift of finite ty…