Uno dei problemi fondamentali della meccanica è descrivere matematicamente i moti, per esempio il moto planetario o delle particelle in un fluido. A parte esempi specialissimi però, non ci si può aspe...
We discuss the emergence of logarithmic Sobolev inequalities from energy/entropy inequalities and then derive from them the existence and uniqueness of the ground state of Hamiltonians as well the spe...
Haag duality is a simple property of algebras attached to regions in QFT that expresses a form of completeness of the theory. Violations of Haag duality are due to "non-local operators". These may be...
Several problems in arithmetic geometry reduce to computing the monodromy group (or, closely related, the image of the Galois representation) of a suitable abelian variety A over a number field k. On ...