Ricerc@Sapienza

This article analyzes the hydrodynamic (continuous) limits of lattice random walks in one spatial dimension. It is shown that a continuous formulation of the process leads naturally to a hyperbolic transport model, characterized by finite propagation velocity, while the classical parabolic limit corresponds to the Kac limit of the hyperbolic model itself. This apparently elementary problem leads to fundamental issues in the theory of stochastic processes and non-equilibrium phenomena, paving the way to new approaches in the field.

In recent years, the measurement of dam displacements has benefited from a great improvement of existing technology, which has allowed a higher degree of automation. This has led to data collection with an improved temporal and spatial resolution. Robotic total stations and GNSS (Global Navigation Satellite System) techniques, often in an integrated manner, may provide efficient solutions for measuring 3D displacements on precise locations on the outer surfaces of dams.