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Table of Contents
Cover
Title page
Chapter 1. Introduction
1.1. Outline of assumptions on the scatterer configuration
1.2. The Lorentz process for hard sphere scatterers
1.3. The Lorentz process for potentials
1.4. The linear Boltzmann equation and generalisations
1.5. Outline of the paper
Acknowledgment
Chapter 2. Point sets, point processes and key assumptions
2.1. Uniform convergence of families of probability measures
2.2. Point processes and marked point processes
2.3. The list of assumptions
2.4. First consequences of the assumptions
4.4. Macroscopic initial conditions
4.5. Random flight processes
4.6. Semigroups and kinetic transport equations
Chapter 5. Examples, extensions, and open questions
5.1. The Poisson case
5.2. Periodic point sets
5.3. Quasicrystals of cut-and-project type
5.4. Scattering potentials satisfying the conditions in Section 3.4
5.5. More general scattering potentials
5.6. Open questions
Bibliography
Index of notation
Back Cover
Title page
Chapter 1. Introduction
1.1. Outline of assumptions on the scatterer configuration
1.2. The Lorentz process for hard sphere scatterers
1.3. The Lorentz process for potentials
1.4. The linear Boltzmann equation and generalisations
1.5. Outline of the paper
Acknowledgment
Chapter 2. Point sets, point processes and key assumptions
2.1. Uniform convergence of families of probability measures
2.2. Point processes and marked point processes
2.3. The list of assumptions
2.4. First consequences of the assumptions
4.4. Macroscopic initial conditions
4.5. Random flight processes
4.6. Semigroups and kinetic transport equations
Chapter 5. Examples, extensions, and open questions
5.1. The Poisson case
5.2. Periodic point sets
5.3. Quasicrystals of cut-and-project type
5.4. Scattering potentials satisfying the conditions in Section 3.4
5.5. More general scattering potentials
5.6. Open questions
Bibliography
Index of notation
Back Cover