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:	Statistical physics. Dynamical systems. Mechanics. Applied mathematics. Engineering mathematics. Operator theory. Probabilities. Electronic resources (E-books)
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.

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

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