Marc Ke{\ss}eb{\"o}hmer
Multifraktale und Asymptotiken gro{\ss}er Deviationen
Preprint series: Mathematica Gottingensis

MSC:

28A80 Fractals

60F10 Large deviations

Abstract: A local large deviation theorem has been proved for a randomly stopped ergodic sum. The result is applied to multifractal measures.
Keywords: multifractals; large deviations; local limit theorems; stopped stochastic processes