Chapter 1 Introduction

Chapter 2 A Geometric Approach to Semi-Dispersing Billiards

Chapter 3 On the Sequences of Collisions Among Hard Spheres in Infinite Space

Chapter 4 Hard Ball Systems and Semi-Dispersive Billiards: Hyperbolicity and Ergodicity

Chapter 5 Decay of Correlations for Lorentz Gases and Hard Balls

Chapter 6 Entropy Values and Entropy Bounds

Chapter 8 Interacting Particles

Chapter 9 Scaling Dynamics of a Massive Piston in an Ideal Gas

Chapter 10 Kinetic Theory Estimates for the Kolmogorov-Sinai Entropy, and the Largest Lyapunov Exponents for Dilute, Hard Ball Gases and for Dilute, Random Lorentz Gases

Chapter 11 Simulation of Billiards and of Hard Body Fluids

Chapter 12 The Lorentz Gas: A Paradigm for Nonequilibrium Stationary States

Chapter 13 Entropy Balance, Multibaker Maps, and the Dynamics of the Lorentz Gas

Chapter 14 Boltzmann’s Ergodic Hypothesis, a Conjecture for Centuries?