中文摘要：

本文考察不变测度的局部熵的重分形分析.给出了集合的非紧拓扑压和非紧（q,μ）-压的定义,并建立了二者之间的联系.利用非紧集或非不变集的（q,μ）-压,给出了局部熵的拓扑压重分形谱的一个等式.此结论推广了文献[Halsey,T.et al.,Phys.Rev.A,1986,33（2）：1141-1151]的部分结果.

英文摘要：

This paper discusses the problem of multifractal analysis of local entropies for any invariant measures. The definitions of topological pressure and （q,μ）-pressure for non- compact or non-invariant sets are given. The relationship between topological pressure and （q, μ）- pressure is established. By using the （q, μ）-pressure of non-compact or non-invariant sets, the equation related with multifractal spectrum of topological pressure for local entopies is obtained. The equation is the generation of part of conclusions of reference [Halsey, T. et al., Phys. Rev. A, 1986, 33（2）： 1141-1151].