Mean-field disordered systems : glasses and optimization problems, classical and quantum

This manuscript present my research activities in the field of statistical mechanics of disordered systems, in particular mean-field models with finite connectivity. These models exhibit several phase transitions in the thermodynamic limit, with applications both for the physics of glasses and for their links with optimization problems from theoretical computer science. Their behavior under the effect of quantum fluctuations is also discussed, within the perspective of quantum computation.