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Giornata sulle biblioteca di Matematica

 Nel corso della giornata sono stati affrontati temi diversi: dalla Contrattazione centralizzata CRUI-CARE all’Open Access, dai servizi Nilde al costo degli abbonamenti. Nel pomeriggio una t...

Stability of quantum many-body systems with point interactions

Abstract: We present a proof that a system of NN fermions interacting with an additional particle via point interactions is stable if the ratio of the mass of the additional particle to the one of the...

On the simultaneous identification of scattering parameters for classical waves

Abstract: We prove uniqueness in inverse acoustic scattering in the case the density of the medium has an unbounded gradient across Σ⊂ΩΣ⊂Ω, where ΩΩ is a 3D-Lipschitz domain. The corresponding direct ...

Particle Creation at a Point Source by Means of Interior-Boundary Conditions

Abstract: We consider a way of defining quantum Hamiltonians involving particle creation and annihilation based on an interior-boundary condition (IBC) on the wave function, where the wave function is...

Hydrodynamic limits, weak solutions and thermodynamics

Abstract: I will present a way to derive, via hydrodynamic limits, weak solutions to the 1D isothermal Euler equations in Lagrangian coordinates. This is obtained from a microscopic anharmonic chain w...

A gradient flow approach for linear Boltzmann equations

Abstract: We introduce a gradient flow formulation of linear Boltzmann equations. Under a diffusive scaling we derive a diffusion equation by using the machinery of gradient flows. This is a joint wor...

The differential topology of semimetals

Abstract: The "Weyl fermion" was discovered in a topological semimetal in 2015. Its mathematical characterisation turns out to involve deep and subtle results in differential topology. I will outline ...