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math.DS2026
Moran-Type Iterated Function Systems and Dimensions of Moran Self-Similar Sets
Yong-Shen Cao, Qi-Rong Deng, Ming-Tian Li
Moran-type iterated function systems (Moran-type IFS or MIFS) are defined by a sequence of iterated function systems, and their basic theoretical framework is established. We defin…
math.DS2016
Generic Points of shift-Invariant Measures in the Countable Symbolic Space
Ai-hua Fan, Ming-tian Li, Ji-hua Ma
We are concerned with sets of generic points for shift-invariant measures in the countable symbolic space. We measure the sizes of the sets by the Billingsley-Hausdorff dimensions…