Symbolic Dynamics of Trapezoidal Maps

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Bibliographic Details
Main Authors: Louck, J.D., Metropolis, N. (Author)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1986, 1986
Edition:1st ed. 1986
Series:Mathematics and Its Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Chapters
  • 1. Introduction
  • 2. Endomorphisms of R Associated with Symmetric Line-Pairs in R2
  • 3. Definition of LR-Sequences for Trapezoidal Curves
  • 4. LR-Sequences as Classes of Endomorphisms of R
  • 5. Explicit Form for ? (T?)
  • 6. A Total Ordering of LR-Sequences
  • 7. Determination of LR-Sequences for Trapezoidal Curves
  • 8. Proof of Theorem 4 [Part (i)]
  • 9. Proof of Theorem 4 [Part (ii)]
  • 10. Some Generalizations to the Parabola
  • 11. Some Extensions to Arbitrary Initial Point a ? I(0,2)
  • Appendices
  • B. Some Properties of Lexical and Nonlexical Sequences
  • C. Some Algebraic Properties of Lexical Sequences
  • D. Some Properties of 1–2 Sequences
  • E. Error In Reference [14]
  • References