Dynamical systems of non-algebraic origin: fixed points and orbit lengths

Igor E. Shparlinski*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

Abstract

We discuss several dynamical systems over finite fields and residue rings which are defined by "non-algebraic" maps, that is, by maps which are not explicitly represented by polynomials or rational functions. We give a survey of some theoretical results about such systems and compare heuristics with numerics which sometimes disagree in a rather intriguing way.

Original languageEnglish
Title of host publicationDynamics and numbers
EditorsSergii Kolyada, Martin Möller, Pieter Moree, Thomas Ward
Place of PublicationProvidence, RI
PublisherAmerican Mathematical Society
Pages261-283
Number of pages23
ISBN (Print)9781470420208
DOIs
Publication statusPublished - 2016
Externally publishedYes
EventInternational Conference on Dynamics and Numbers - Bonn, Germany
Duration: 21 Jul 201425 Jul 2014

Publication series

NameContemporary Mathematics
PublisherAMER MATHEMATICAL SOC
Volume669
ISSN (Print)0271-4132

Conference

ConferenceInternational Conference on Dynamics and Numbers
CountryGermany
CityBonn
Period21/07/1425/07/14

Keywords

  • Dynamical system
  • finite field
  • residue ring
  • fixed point
  • orbit length

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