Mathematics

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.

Integrability of Distributions
Random Matrix Models. Orthogonal Polynomials
Differential Equations Through Symmetry
Control Theory

Porous medium equation.
Navier-Stokes equations.
Elliptical and non-linear parabolic equations.
Partial differential equations in Orlicz-Sobolev spaces.
Primitive equations of the ocean.
Stochastic risk assessment of nuclear waste storage.
Mathematical tools for the extraction, manipulation and prediction of information in databases.
Turbulence modelling.
Thermistor problem.
Formal processing of relational information systems.
Heat treatment of steel.
Fuzzy sets. Fuzzy logic.

The research topics represented cover a wide range of mathematical fields, from the theoretical to the most applied. There are three main themes, organized around teams and seminars:

   - Geometry and topology;

   - Dynamical systems, probability and statistics;

    - Analysis, stochastic phenomena and applications.