Look at Tempered Subdiffusion in a Conjugate Map: Desire for the Confinement

Overview

Journal Entropy (Basel)

Publisher MDPI

Date 2020 Dec 8

PMID 33287082

Authors

Aleksander Stanislavsky

Aleksander Weron

Affiliations

Soon will be listed here.

Abstract

The Laplace distribution of random processes was observed in numerous situations that include glasses, colloidal suspensions, live cells, and firm growth. Its origin is not so trivial as in the case of Gaussian distribution, supported by the central limit theorem. Sums of Laplace distributed random variables are not Laplace distributed. We discovered a new mechanism leading to the Laplace distribution of observable values. This mechanism changes the contribution ratio between a jump and a continuous parts of random processes. Our concept uses properties of Bernstein functions and subordinators connected with them.

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