Multifractal spectra of typical and prevalent measures

Frédéric Bayart
2012 Nonlinearity  
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.
doi:10.1088/0951-7715/26/2/353 fatcat:4nwzwde4vfehphdjovaiqxofee