We recall the notion of nonlocal minimal surfaces and we discuss their qualitative and quantitative interior and and boundary behavior. In particular, we present some optimal examples in which the surfaces stick at the boundary. This phenomenon is…
Categoria evento: Seminars
Discrete approximations of Gromov’s simplicial volume – Roberto Frigerio
The simplicial volume is a homotopy invariant of closed manifolds defined by Gromov in 1982. For a manifold M, it is bounded from above by the minimal number of top-dimensional simplices in a triangulation of M, and roughly speaking it measures the…
Phase segregation for binary mixtures of Bose-Einstein Condensates – Michael Goldman
In this talk I will discuss the (asymptotic) shape of the minimizers of a Gross-Pitaievskii functional describing Bose-Einstein condensates with two components. We will be interested in the regime of strong segregation where the two components do…
A partial Gamma-convergence result for a family of functionals depending on curvatures – Luca Lussardi (Università Cattolica, Brescia)
Biomembranes are remarkable structures with both fluid-like and solid-like properties: the main constituents are amphiphilic lipids, which have a head part that attracts water and a tail part that repels it. Because of these properties, such lipids…
Optimization & Numerical Analysis seminars. Minimization algorithms for compressive sensing. – Andrea Masciotta – Dipartimento di Matematica Università di Pisa (Il Seminario si svolgerà nella Sala Seminari Ovest, Dipartimento Informatica.)
Compressive sensing is a new approach to digital signals acquisition and processing. Its main aim is the reconstruction of sparse signals or images (i.e. with few significant coefficients) from what was previously believed to be incomplete…
Optimal control problems in transport dynamics – Mattia Bongini (TUM )
In this talk we shall discuss several results concerning the \it{indirect control of populations}, i.e., how to influence a group of individuals by means of external agents with a directly controlled dynamics. By using the general theory of…
“Ground states per energie tipo NLS su grafi metrici” – Paolo Tilli
We investigate the existence of ground states for a focusing NLS functional with a power nonlinearity over a metric graph (i.e. a one-dimensional network made up of finite intervals and/or half-lines, glued together according to the topology of a…
Mean field limit of interacting filaments and vector valued non linear PDEs – Michele Coghi (Scuola Normale Superiore, Pisa)
Families of N interacting curves are considered, with long range, mean-field type, interaction. A family of curves defines a 1-current, concentrated on the curves, analog of the empirical measure of interacting point particles. This current is…
O-minimal Hauptvermutung and manifolds, II – Masahiro Shiota
Venue Sala Seminari (Dip. Matematica). Abstract…
Ground states and Excitation Spectrum of Bosonic Quantum Many-Body Systems – Robert Seiringer
Many questions concerning models in quantum mechanics require a detailed analysis of the spectrum of the corresponding Hamiltonian, a linear operator on a suitable Hilbert space. Of particular relevance for an understanding of the low-temperature…