Dyadic shell models in fluid mechanics. In particular, anomalous dissipation for nonlinear models (both deterministic and stochastic) derived from the 3-dimensional Euler and Navier-Stokes equations. Urn processes. In particular, large deviations principles in generalized urn models. Branchig processes. In particular applied to the construction of explicit solutions of nonlinear ODE's. Statistical mechanics. In particular, spin glass models related to error correcting codes: random energy model, random codes, LDPC codes, turbocodes.