The optimal transport problem consists in minimizing the total energy of the displacement among all the (vector-valued) functions having prescribed image measure. In this talk we are interested in a particular case of cost functions: c is given by…
Categoria evento: Seminars
Discrete to continuum limits of fully atomistic and quasicontinuum systems with potentials of Lennard-Jones type – Anja Schloemerkemper
In recent years several engineering models, e.g., in the context of elasticity theory, were justified by a discrete to continuum analysis, i.e., by a passage from discrete/atomistic systems to continuum problems. I will present results with M.…
Bordi all’infinito di filling di Dehn algebrici – Alessandro Sisto (ETH Zurich)
Il filling di Dehn è un importante metodo per costruire 3-varietà iperboliche chiuse a partire da 3-varietà iperboliche di volume finito. Questa costruzione ha un analogo algebrico per gruppi relativamenteiperbolici, e ne studieremo l’effetto sul…
A variational approach to nonlocal and crystalline curvature flows – Marcello Ponsiglione (Università di Roma La Sapienza)
In this seminar I will introduce a generalized notion of (local and nonlocal) perimeter and curvature. Then, I will describe the corresponding geometric flows, showing the coherence between variational methods (based on the minimizing movements…
Newton’s method as an unexpectedly efficient root finder – Dierk Schleicher (Jacobs University, Bremen, Germany)
Newton’s method is well known as a root finder locally near the roots. It is often “not recommended” as a global root finder because of its “chaotic” properties. We give a very efficient theoretical upper bound on its speed of convergence: all roots…
Convergence of thresholding schemes for geometric flows – Tim Laux ( Max Planck Institute for Mathematics in the Sciences, Leipzig)
The thresholding scheme, a time discretization for mean-curvature flow was introduced by Meriman, Bence and Osher in 1992. In the talk we present new convergence results for modern variants of this scheme, in particular in the multi-phase case with…
Classifications of germs of diffeomorphisms and fractal properties of their orbits – Maja Resman (University of Zagreb)
We are motivated by the question of recognizing a germ of a diffeomorphism by looking at only one (discrete) orbit. The method we propose uses fractal properties of the orbit: its box dimension, or, more generally, the area of its…
Earnshaw’s Theorem in Electrostatics – Jeffrey Rauch (University of Michigan)
Earnshaw’s Theorem. (Trans. Cambridge Phil. Soc(1842)). A test charge in an electrostatic field can never be in a position of stable equilibrium. This theorem is still not proved but much progress has been made. Some seemingly more difficult results…
Location of the complex eigenvalues of dissipative problems – Vesselin Petkov (University of Bordeaux)
Venue Sala Riunioni (Dip. Matematica). Abstract…
Optimization & Numerical Analysis seminars”- Numerical methods for computing the steady-state distribution of a G-network. – Tommaso Nesti (University of Pisa) (Il Seminario si svolgerà nella Sala Seminari Est, Dipartimento Informatica.)
G-networks are a class of queueing networks introduced by E. Gelembe in 1989, which are characterized by the presence of positive and negative customers. Unlike classical queueing networks, the equations yielding the steady-state distribution of a…