典型测度和流行测度的多重分形谱
Multifractal spectra of typical and prevalent measures
摘要：
证明了在Baire范畴意义下，紧集支持的典型测度存在线性下奇异谱。我们调查了同样的问题的上奇异谱和其他形式的genericity。
英文摘要：
We prove that, in the Baire category sense, a typical measure supported by a compact set admits a linear lower singularity spectrum. We investigate the same question for the upper singularity spectrum and for other forms of genericity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
