Chance and chaos
type: Item
instance of: scholarly article
title: Chance and chaos
zbMATH Open document ID: 0868.60005
published in: Elemente der Mathematik
publication date: 1997-08-18T00:00:00Z
full work available at URL: https://eudml.org/doc/141590
review text: By detailed consideration of the mapping \(h:[0,1]\to [0,1]\) defined by \[ h(x)= \min\{x/c,(1-x)/(1-c)\},\quad c\in(0,1), \] the author shows that chance and chaos may be seen as different aspects of the same phenomenon, in which case randomness may be used to explain chaos. A main ingredient in chaos, viz. unpredictability, is interpreted via Markov stationary chains, the reversal theorem being used to conclude that a ``chaotic'' sequence is mirrored by a ``random'' sequence.
Mathematics Subject Classification ID: 60A10
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 977850
zbMATH Keywords: chance
zbMATH Keywords: chaos
zbMATH Keywords: Markov chain
zbMATH Keywords: reversal theorem
author: A. D. Barbour
reviewed by: Andrew Dale
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 977850