Multiscaling behavior of braided channel networks: An alternative formulation of Taylor's law variate transformations

Rizzello, Stefano; Scaraggi, Michele; Nelson, Andrew D.; Primavera, Leonardo; Napoli, Gaetano; Stecca, Guglielmo; Vitolo, Raffaele; De Bartolo, Samuele

doi:10.1103/physreve.109.034306

Phys. Rev. E

2024

DOI: 10.1103/physreve.109.034306

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Multiscaling behavior of braided channel networks: An alternative formulation of Taylor's law variate transformations

Stefano Rizzello,

Michele Scaraggi,

Andrew D. Nelson

et al.

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2024

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Cited by 2 publications

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Singularities of Taylor’s power law in the analysis of aggregation measures

De Bartolo

2024

Physica A: Statistical Mechanics and its Applications

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Singularities of Taylor’s power law in the analysis of aggregation measures

De Bartolo

2024

Physica A: Statistical Mechanics and its Applications

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Taylor’s Law from Gaussian diffusions

Eliazar

2024

J. Phys. A: Math. Theor.

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Taylor’s Law, also known as fluctuation scaling, manifests a power relation between the means and the variances of statistical distributions. The class of Gaussian-selfsimilar stochastic motions offers a plethora of macroscopic diffusion models, regular and anomalous alike. This class includes Brownian motion, scaled Brownian motion, fractional Brownian motion, and more. Within this class, power Brownian motion is the sub-class of motions that are also Markovian. Considering conditional distributions of motion positions, this paper establishes that: the Gaussian-selfsimilar class universally generates Taylor’s Law, doing so with both positive and negative Taylor exponents. The paper also unveils a profound interplay between power Brownian motion, and the universal generation of Taylor’s Law from the Gaussian-selfsimilar class.

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Multiscaling behavior of braided channel networks: An alternative formulation of Taylor's law variate transformations

Cited by 2 publications

References 62 publications

Singularities of Taylor’s power law in the analysis of aggregation measures

Singularities of Taylor’s power law in the analysis of aggregation measures

Taylor’s Law from Gaussian diffusions

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