A SYSTEM OF PLANAR PIECEWISE ISOMETRIC SYSTEMS AND CODINGS OF THESE SYSTEMS

M.R. Sharifipour, H.M. Mohammadinejad

IJPAM: Volume 114, No. 3 (2017)

Title

A SYSTEM OF PLANAR PIECEWISE ISOMETRIC
SYSTEMS AND CODINGS OF THESE SYSTEMS

Authors

M.R. Sharifipour

, H.M. Mohammadinejad

$^{1,2}$ Department of Mathematics
Faculty of Mathematics and Statistics
University of Birjand, Birjand, IRAN

Abstract

In this paper we investigate dynamics of a system of planar piecewise isometric systems. At first we introduce a coding map on a system of planar piecewise isometric systems then we extend the coding map onto the entire phase space and prove that there exist an essential coding for a singular point. At the end of this paper we investigate some important sets including singular sets, exceptional sets, rational sets, etc... generated by a system of planar piecewise isometric systems.

History

Received: December 1, 2016
Revised: January 29, 2017
Published: May 23, 2017

AMS Classification, Key Words

AMS Subject Classification: 58F03, 52A07
Key Words and Phrases: piecewise isometric, singular set, exceptional set, coding and essential coding, rational and irrational code, partition function

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How to Cite?

DOI: 10.12732/ijpam.v114i3.5 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 114
Issue: 3
Pages: 473 - 482

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