2025/02/28 by Wang, Tingting, Selmi, Bilel, Li, Zhiming
#37D35 #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2502.20906
In this paper, we consider definitions including (q, ϑ)-Bowen topological entropy and (q, ϑ)-packing topological entropy. We systematically explore their properties and measurability and analyze the relationship between (q, ϑ)-packing topological entropy and topological entropy on level sets. Furthermore, the study demonstrates that the domain of (q, ϑ)-packing topological entropy encompasses the domain of the multifractal spectrum of local entropies, providing new perspectives and tools for multifractal analysis.