A method, based on the Smirnov transform, for generating synthetic data with the statistical properties of Lévy-walks … cybersecurity engineering problem associated with Internet traffic is addressed. The synthetic Lévy-walks process is intertwined …-Leibler divergence (KLD), among the pdfs of arbitrary processes (focusing on Lévy walks) and model pdfs is presented. The results …

A comparison between the probability similarities of a Distributed Denial-of-Service (DDoS) dataset and Lévy walks is … presented. This effort validates Lévy walks as a model resembling DDoS probability features. In addition, a method, based on the … Smirnov transform, for generating synthetic data with the statistical properties of Lévy-walks is demonstrated. The Smirnov …

(subdiffusion, superdiffusion and superballistic movements), Lévy walks and multiplicative noise. Our analyses find empirical …

We developed the most general Lévy walks with varying velocity, shorter called the Weierstrass walks (WW) model, by … points, i.e., the velocity is a piecewise constant function. This model is a kind of Lévy walks where we assume a …

Some foragers have movement patterns that can be approximated by Lévy walks whilst others may be better represented as … demands of harvesting and safety from predation. In accordance with observations, it is shown that Lévy walks are expected in … advantageous when the risk of predation is low. Despite having fundamentally different properties, Lévy walks and composite …

Review E 79 (2009) 011110] that realises Lévy walks as Markovian stochastic processes. This brings forth new biological … insight as Lévy walks are advantageous when searching in the absence of external stimuli and without knowledge of the target … spontaneous movement patterns that can be approximated by Lévy walks, as first proposed by Schuster and Levandowsky (1996) [F …

is non-destructive and when the Lévy walks are not responsive to conditions found in the search. Here a new class of … is not located after travelling a distance equal to the ‘giving-up distance’. It is found that adaptive Lévy walks …

motion and Levy walks (anomalous random walks) are observed for any N and for low values of the external amplitude F. The … superdiffusive motion disappears and Levy walks are transformed into normal random walks. …