Partial Differential Equations

The research activities of the Mathematics Analysis Group focus on:

- Construction of class of representations of discrete hyperbolic fundamental groups of surfaces.

- Construction of mathematical transforms defined in the spectral domain of finite graphs and applications to compression, denoising and reconstruction of signals defined on large graphs.

The group is dedicated to the following research activities:

1) Construction of mathematical models based on partial and ordinary differential equations linked to the description of phenomena arising in different applied fields, in particular ecology and engineering;

2) Extension of nonlocal elasticity theories based on stress-driven spatial convolutions;