Fully Chaotic Maps and Broken Time Symmetry by Dean J. Driebe.

I am very pleased and privileged to write a short foreword for the monograph of Dean Driebe: Fully Chaotic Maps and Broken Time Symmetry. Despite the technical title this book deals with a problem of fundamental importance. To appreciate its meaning we have to go back to the tragic struggle that was...

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Bibliographic Details
Main Author: Driebe, Dean J. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1999.
Edition:1st ed. 1999.
Series:Nonlinear Phenomena and Complex Systems, 4
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Chaos and Irreversibility
  • 2 Statistical Mechanics of Maps
  • 3 The Bernoulli Map
  • 4 Other One-Dimensional Maps
  • 5 Intrinsic Irreversibility
  • 6 Deterministic Diffusion
  • 7 Afterword
  • A Appendices
  • A.1 Complex Microstructure of Phase Space
  • A.2 More on Mixing
  • A.4 Dual States
  • A.5 The Resolvent Formalism
  • A.6 Resealed Legendre Polynomials
  • A.7 Formal Expression for the Eigenstates
  • A.8 Explicit Evaluation of Eigenpolynomials
  • A.9 Bernoulli Polynomials
  • A.10 Generating Function Technique
  • A.11 Jordan States
  • A.12 Dual States of Jordan States
  • A.13 Shift Polynomial Duals
  • A.14 Symmetries in a Class of One-Dimensional Maps
  • A.15 Invariant Measure of the Cantor Map
  • A.17 Decomposition with Asymptotic Periodicity
  • A.18 Frobenius—Perron Operator of the Baker Map
  • A.19 Green—Kubo Formalism for the Multi-Bernoulli map
  • A.20 Frobenius—Perron Operator of the Multi-Bernoulli map
  • A.21 Eigenstates of the Full Multi-Bernoulli Map.