Non-linear diffusion and power law properties of heterogeneous systems: Application to financial time series

Miguel A. Fuentes*

*Autor correspondiente de este trabajo

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

6 Citas (Scopus)

Resumen

In this work, we show that it is possible to obtain important ubiquitous physical characteristics when an aggregation of many systems is taken into account. We discuss the possibility of obtaining not only an anomalous diffusion process, but also a Non-Linear diffusion equation, that leads to a probability distribution, when using a set of non-Markovian processes. This probability distribution shows a power law behavior in the structure of its tails. It also reflects the anomalous transport characteristics of the ensemble of particles. This ubiquitous behavior, with a power law in the diffusive transport and the structure of the probability distribution, is related to a fast fluctuating phenomenon presented in the noise parameter. We discuss all the previous results using a financial time series example.

Idioma originalInglés
Número de artículo649
PublicaciónEntropy
Volumen20
N.º9
DOI
EstadoPublicada - 2018

Nota bibliográfica

Publisher Copyright:
© 2018 by the authors.

Áreas temáticas de ASJC Scopus

  • Física y Astronomía General

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