Special Issue of the journal "Markov Processes and Related Fields" containing papers presented at the meeting: Inhomogeneous Random Systems (Paris, January 25-26, 2000). Editors: Ellen Saada, Thierry Gobron, François Dunlop. pp. 1-4: Introduction. pp. 5-19: R. Fernandez, "Metastability and Relaxation of Processes. An Overview of Basic Notions and Issues". pp. 21-38: A.D. Sokal, "A Personal List of Unsolved Problems Concerning Lattice Gases and Antiferromagnetic Potts Models". pp. 39-50: N. Cancrini, F. Martinelli, "Stochastic Dynamics for the Dilute Ising Lattice Gas: Results and Open Problems". pp. 51-53: F. den Hollander, E. Olivieri, E. Scoppola, "Metastability and Nucleation for Conservative Dynamics". pp. 55-74: J. Salas, "Dynamic Critical Behavior of Cluster Algorithms for 2D Ashkin-Teller and Potts Models". pp. 75-76: M. Jerrum, "Case Studies in Torpid Mixing: Annotated Bibliography". pp. 77-96: E. Thonnes, "The Conditional Boolean Model Revisited". pp. 97-112: M. Abadi, A. Galves, "Inequalities for the Occurrence Times of Rare Events in Mixing Processes. The State of the Art". pp. 113-115: S. Shlosman, "The Life of Amoebas (of the Ising Model)". pp. 117-118: P. Collet, "Systems out of Equilibrium". pp. 119-134: C. Maes, F. Redig, M. Verschuere, "Entropy Production for Interacting Particle Systems". pp. 135-143: G. Gallavotti, "Entropy Driven Intermittency". pp. 145-157: C.-A. Pillet, "Entropy Production in Classical and Quantum Systems". pp. 159-191: N. Fournier, S. Meleard, "Monte-Carlo Approximations and Fluctuations for 2D Boltzmann Equations without Cutoff".