Fully Chaotic Maps and Broken Time Symmetry [E-Book] / by Dean J. Driebe.
Driebe, Dean J., (author)
Dordrecht : Springer, 1999
X, 166 p. online resource.
englisch
9789401716284
10.1007/978-94-017-1628-4
Nonlinear Phenomena and Complex Systems ; 4
Full Text
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.