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math.FA2025
Barnsley-Navascués fractal operators on Banach spaces on the Sierpiński gasket
Asheesh Kumar Yadav, Himanshu Kumar, Saurabh Verma +1
In this article, we define fractal operators motivated by the works of Barnsley and Navascués on various function spaces such as energy space, Lebesgue space, and oscillation space…
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…