Special Issue of the journal "Markov Processes and Related Fields" containing papers presented at the meetings: Inhomogeneous Random Systems (Paris, January 22-23, 2013 and January 28-29, 2014). Editors: Ellen Saada, Thierry Gobron, François Dunlop. pp. 393-408: Introduction. pp. 409-442: F. den Hollander, S. Jansen, "Berman-Konsowa Principle for Reversible Markov Jump Processes". pp. 443-466: E.N.M. Cirillo, F.R. Nardi, J. Sohier, "A Comparison Between Different Cycle Decompositions for Metropolis Dynamics". pp. 467-505: N. Berglund, "Noise-Induced Phase Slips, Log-Periodic Oscillations, and the Gumbel Distribution". pp. 507-535: B. Jahnel, C. Kûlske, "Attractor Properties of Non-Reversible Dynamics w.r.t. Invariant Gibbs Measures on the Lattice". pp. 537-553: F.M. Atay, "On the Duality Between Consensus Problems and Markov Processes, with Application to Delay Systems". pp. 555-572: A. Hutt, J. Lefebvre, "Stochastic Center Manifold Analysis in Scalar Nonlinear Systems Involving Distributed Delays and Additive Noise". pp. 573-594: A.S. Ribeiro, "Delays as Regulators of the Dynamics of Genetic Circuits". pp. 595-628: A. McDaniel, Ö. Duman, G. Volpe, J. Wehr, "An SDE Approximation for Stochastic Differential Delay Equations with State-Dependent Colored Noise".