Does randomness in multifractals imply latent dimensions

摘要: Negative, or latent, dimensions have always attracted a strong interest since their discovery. When randomness is introduced in multifractals, the sample-to-sample fluctuations of multifractal spectra emerge inevitably, which has motivated various studies this field. In work, we study class multinomial measures and argue asymptotic behaviors function as . The so-called latent condition (LDC) presented states that may be absent discrete random measures. order to clarify discovery, several examples are illustrated.