4 citations · 7 across the 5 of their papers we have counts for
5 papers
Connected p.c.f self-similar fractals satisfying the angle separation condition have conformal dimension 1
Hui Rao, Zhi-Ying Wen, Qihan Yuan +1
Let be a graph-directed iterated function system (GIFS) satisfying the finite post-critical points property (p.c.f), and assume that the attractors $(M_\ell)_{\ell\i…
On the exact orders of critical value in Finitary Random Interlacements
Zhenhao Cai, Yuan Zhang
In this paper, we prove the exact orders of critical intensity in Finitary Random Interlacements (FRI) in with respect to the expected fiber lengt…
Continuity and uniqueness of percolation critical parameters in Finitary Random Interlacements
Zhenhao Cai, Eviatar B. Procaccia, Yuan Zhang
We prove that the critical percolation parameter for Finitary Random Interlacements (FRI) is continuous with respect to the path length parameter . The proof uses a result which…
Weighted Sylvester sums on the Frobenius set
Takao Komatsu, Yuan Zhang
Let and be relatively prime positive integers. In this paper the weighted sum is given explicitly or in terms of the Apostol-Bernoulli…
Invariance of multifractal spectrum of uniform self-affine measures and its applications
Hui Rao, Ya-min Yang, Yuan Zhang
We study the bi-Lipschitz classification of Bedford-McMullen carpets which are totally disconnected. Let be a such carpet and let be the uniform Bernoulli measure on .…