Counting function fluctuations and extreme value threshold in multifractal patterns: the case study of an ideal $1/f$ noise
Yan V. Fyodorov, Pierre Le Doussal, Alberto Rosso Journal of Statistical Physics 149 (2012) 898-920 To understand the sample-to-sample fluctuations in disorder-generated multifractal patterns we investigate analytically as well as numerically the statistics of high values of the simplest model – the ideal periodic $1/f$ Gaussian noise. By employing the thermodynamic formalism we predict the […]
