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math.DS2025
Measurability of Multifractal Topological Entropy and Its Role in Multifractal Theory
Tingting Wang, Bilel Selmi, Zhiming Li
In this paper, we consider definitions including -Bowen topological entropy and -packing topological entropy. We systematically explore their proper…
math.DS2024
On the mean -intermediate dimensions
Yu Liu, Bilel Selmi, Zhiming Li
In this paper, we introduce the mean -intermediate dimension which has a value between the mean Hausdorff dimension and the metric mean dimension, and prove the equivalent defi…