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math.DS2025
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…
math.DS2025
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…
math.DS2024
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,…