Motions

Iddo Eliazar*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In Chap. 11, we saw how sums induced by the power Poisson process E- yield the one-sided and the symmetric Levy laws. In this chapter, we will show how the power Poisson process E-, when embedded into sums of random motions, gives rise to the following power statistics: sub-diffusion, super-diffusion, flicker noise, and 1/f noise. This chapter is based on [1–4], which investigated the universal generation of “anomalous statistics” via Poisson randomizations of collections of stochastic processes.

Original languageEnglish
Title of host publicationUnderstanding Complex Systems
PublisherSpringer
Pages159-176
Number of pages18
DOIs
StatePublished - 2020

Publication series

NameUnderstanding Complex Systems
ISSN (Print)1860-0832
ISSN (Electronic)1860-0840

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