4 papers · 1 filter
Generalized q-dimensions of measures on Non-autonomous conformal sets
Jun Jie Miao, Tianrui Wang
We study the generalized q-dimensions of measures supported on non-autonomous conformal attractors, which are the generalizations of Moran sets and the attractors of iterated funct…
Dimensions and dimension spectra of Non-autonomous iterated function systems
Junjie Miao, Tianrui Wang
Non-autonomous iterated function systems are a generalization of iterated function systems. If the contractions in the system are conformal mappings, it is called a non-autonomous…
Assouad and quasi-Assouad dimensions of Moran sets
Junjie Miao, Minghui Xu
Moran sets are a non-autonomous generalization of self-similar sets. In this paper, we study the quasi-Assouad and Assouad dimensions of Moran sets in . First we pr…
Intermediate dimensions of Moran sets and their visualization
Yali Du, Junjie Miao, Tianrui Wang +1
Intermediate dimensions are a class of new fractal dimensions which provide a spectrum of dimensions interpolating between the Hausdorff and box-counting dimensions. In this paper,…