The lower spectral branch of the generator of the stochastic dynamics for the classical Heisenberg model;Random walk in a fluctuating random environment with Markov evolution;Ergodicity and exponential convergence of a Glauber+Kawasaki process;The Griffiths singularity random field;Dobrushin's program on Gibbsianity restoration: Weakly Gibbs and almost Gibbs random fields;Space-time invariant states of the ideal gas with finite number, energy, and entropy density;Hausdorff dimension and pressure in the DLR thermodynamic formalism;Nonsymmetric simple random walks along orbits of ergodic automorphisms;The Cram�er transform and large deviations on three-dimensional Lobachevsky space;Thermodynamical limit for symmetric closed queuing networks;Random infinite spin graph evolution;An elementary approach to finite size conditions for the exponential decay of covariances in lattice spin models;Dynamics of Ising spin systems at zero temperature;Peierls argument for the anisotropic Ising model;Contour methods and Pirogov-Sinai theory for continuous spin lattice models;Recollections