Moti ricorsivi e stabilità nei sistemi dinamici

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...

Existence/uniqueness of ground state and spectral gap of Hamiltonians by logarithmic Sobolev inequalities

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...

The ABJ anomaly as a U(1) symmetry and Noether's theorem

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...

From correlated to white transport noise in fluid models

https://www1.mat.uniroma1.it/people/bertini/seps/...

Solvable Stationary Non Equilibrium States

https://www1.mat.uniroma1.it/people/bertini/seps/...

Monodromy groups and exceptional Tate classes

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 ...

Uniqueness of the invariant measure of the phi42 dynamics in infinite volume

https://www1.mat.uniroma1.it/people/bertini/seps/...

Conformally invariant random geometry in dimensions n>2

https://www1.mat.uniroma1.it/people/bertini/seps/...
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