On the non-randomness of modular arthmetic progressions : a solution to a problem by V.I. Arnold - GREYC amacc Access content directly
Preprints, Working Papers, ... Year : 2008

On the non-randomness of modular arthmetic progressions : a solution to a problem by V.I. Arnold

Abstract

We solve a problem by V. I. Arnold dealing with “how random” modular arithmetic progressions can be. After making precise how Arnold proposes to measure the randomness of a modular sequence, we show that this measure of randomness takes a simplified form in the case of arithmetic progressions. This simplified expression is then estimated using the methodology of dynamical analysis, which operates with tools coming from dynamical systems theory.
Fichier principal
Vignette du fichier
cesaratto-plagne-vallee-v3_-_copie.pdf (304.28 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-00211041 , version 1 (21-01-2008)

Identifiers

  • HAL Id : hal-00211041 , version 1

Cite

Eda Cesaratto, Alain Plagne, Brigitte Vallée. On the non-randomness of modular arthmetic progressions : a solution to a problem by V.I. Arnold. 2008. ⟨hal-00211041⟩
146 View
68 Download

Share

Gmail Facebook X LinkedIn More