Special Issue of the journal "Markov Processes and Related Fields" containing papers presented at the meeting: Inhomogeneous Random Systems (Paris, January 23-24, 2001). Editors: Ellen Saada, Thierry Gobron, François Dunlop. pp. 145-148: Introduction. pp. 149-154: V. Baladi, "Finite-Dimensional Functional Analysis Applied to Transfer Operators for Infinite-Dimensional Maps". pp. 155-162: C. Liverani, "Computing the Rate of Decay of Correlations in Expanding and Hyperbolic Systems". pp. 163-198: D. Talay, "Stochastic Hamiltonian Systems: Exponential Convergence to the Invariant Measure, and Discretization by the Implicit Euler Scheme". pp. 199-214: J.C. Mattingly, A.M. Stuart, "Geometric Ergodicity of Some Hypo-Elliptic Diffusions for Particle Motions". pp. 215-219: W. Krauth, "Disks on a Sphere and Two-Dimensional Glasses". pp. 221-232: E. Janvresse, "Approach to Equilibrium for Kac Master Equation". pp. 233-235: S.G. Bobkov, I. Gentil, M. Ledoux, "Hypercontractivity of Hamilton - Jacobi Equations". pp. 237-250: C. Villani, "On the Trend to Equilibrium for Kinetic Equations". pp. 251-270: N. Cancrini, "Relaxation to Equilibrium of Spin Exchange Dynamics for Lattice Gases". pp. 271-318: F. Baffioni, I. Merola, E. Presutti, "The Liquid and Vapor Phases in Particle Models with Kac Potentials". pp. 319-338: T. Bodineau, "On the van der Waals Theory of Surface Tension". pp. 339-350: L. Triolo, "Free Energy Functionals in the Mesoscopic Description of Phase Transitions". pp. 351-364: O. Penrose, "Statistical Mechanics of Nonlinear Elasticity". pp. 365-381: L. Bertini, "Dynamic Fluctuations for Kac and Related Models". pp. 381: M. Zahradnik, "Cluster Expansions of Small Contours in Abstract Pirogov - Sinai Models".