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On the shapes of water

Abstract: As we learnt from Young and Laplace, the cohesion of fluids makes them choose specific shapes, in particular spheres at a small scale. We discuss several ways to maintain this ideal shape on...

Evolution by horizontal mean curvature flow

We introduce and study the evolution by horizontal mean curvature flow in Carnot-Carathe'odory spaces. The main difficulty occurs because of the existence of characteristic points, which are points wh...

Mathematical models of wetting phenomena

Abstract: Wetting phenomena at "small" scales (a water drop on a glass, the precorneal tear-film) may be described by quite a few different mathematical models: diffuse interface ones, sharp ones such...

Un risultato di controllabilità quantistica mediante metodi adiabatici

I teoremi adiabatici sono stati recentemente utilizzati in alcuni risultati di controllabilità quantistica. Dopo aver introdotto brevemente i metodi adiabatici (in particolare i teoremi di Kato e di N...

Teoria quantistica del controllo: motivazioni, metodi, risultati"

Lo scopo del seminario è introdurre alcuni aspetti della modellizzazione e del controllo dei sistemi quantistici, e discutere alcuni risultati matematici sulla controllabilità quantistica. Sebbene par...

Krylov Methods for the Approximation of Matrix Functions

The need to evaluate expressions of the form f(A)v or v'f(A)v, where A is a large sparse or structured matrix, v is a vector, f is a nonlinear function, and ' denotes transposition arises in many appl...

Approssimazione di misure di probabilità soluzioni di modelli di comportamento collettivo

In questo seminario considereremo modelli differenziali del primo ordine per il comportamento collettivo di gruppi di individui interagenti, quali folle, stormi, aggregati cellulari, basati sul princi...

Very High Order P_N P_M Schemes on Unstructured Meshes for Time-Dependent PDE in Fluid Mechanics

In this talk we present a new unified approach of general P_N P_M schemes on unstructured meshes in two and three space dimensions for the solution of time-dependent partial differential equations ari...

Recent advances in language dynamics

Abstract: Language dynamics is an emerging field that focuses on all processes related to the emergence, evolution and extinction of languages. Recently the study of the self-organization and evolutio...

A Game-Theoretic Approach to Deformable Shape Matching

We consider the problem of minimum distortion intrinsic correspondence between deformable shapes, many useful formulations of which give rise to the NP-hard quadratic assignment problem (QAP). Previou...

Costruzione ed analisi di convegenza per gli schemi semi-lagrangiani in forma conservativa

Nonostante gli schemi SL classici siano formulati in modo da non garantire la conservazione della massa, varianti conservative degli schemi SL sono state proposte da una quindicina di anni a questa pa...

Computable a posteriori error bounds for the Stokes problem

In this talk we will present some recent results on a posteriori error estimation for the Stokes problem. The error estimator is fully computable and present a robust and rigorous bound for the error,...