Statistical Physics and Dynamical Systems: Rigorous Results

Front Matter....Pages i-xxi
The Algebra of Many-Particle Operators....Pages 1-15
C*-Algebra Approach to Ground States of the XY-Model....Pages 17-39
Bulk Diffusion for Interacting Brownian Particles....Pages 41-48
Spectral Properties of Random and Almost Periodic Differential and Finite-Difference Operators....Pages 49-66
Equilibrium Fluctuations for Some Stochastic Particle Systems....Pages 67-81
Linear and Related Models of Time Evolution in Quantum Statistical Mechanics....Pages 83-104
Systems with Random Couplings on Diamond Lattices....Pages 105-126
On the Diffusion in Dynamical Systems....Pages 127-135
The Dynamics of a Particle Interacting with a Semi-Infinite Ideal Gas is a Bernoulli Flow....Pages 137-152
A Generalization of Carateodory’s Construction for Dimensional Characteristic of Dynamic Systems....Pages 153-189
Convergence of Images of Certain Measures....Pages 191-201
Cluster Expansion for Unbounded Non-Finite Potential....Pages 203-219
Thermal Layer Solutions of the Boltzmann Equation....Pages 221-234
Hyperbolicity and Möller-Morphism for a Model of Classical Statistical Mechanics....Pages 235-251
Quantum Stochastic Processes....Pages 253-284
Absolutely Continuous Invariant Measures for Some Maps of the Circle....Pages 285-302
Some Problems in Vortex Theory....Pages 303-315
The Maxwell Rule and Phase Separation in the Hierarchical Vector-Valued ϕ 4 -Model....Pages 317-327
Constructive Criterion for the Uniqueness of Gibbs Field....Pages 329-345
Completely Analytical Gibbs Fields....Pages 347-370
Diffusion, Mobility and the Einstein Relation....Pages 371-403
Transition from Pure Point to Continuous Spectrum for Random Schrödinger Equations: Some Examples....Pages 405-441
Rigorous Studies of Critical Behavior II....Pages 443-452
Back Matter....Pages 453-481
....Pages 482-482