Titolo:Entropia topologica su superfici complesse Abstract: L’entropia topologica misura il ‘disordine’ creato da una trasformazione di uno spazio metrico compatto, ed e’ in generale molto difficile da calcolare. Nel caso pero’ di automorfismi su…
Eventi
Approximate convexity principles and applications to PDEs in convex domain – Marco Squassina (Univ Brescia)
We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonlinearities. Furthermore, we provide some applications to some…
MATLAB Tools for Large-Scale Linear Inverse Problems – James Nagy (Department of Mathematics, Emory University)
Inverse problems arise in a variety of applications: image processing, finance, mathematical biology, and more. Mathematical models for these applications may involve integral equations, partial differential equations, and dynamical systems, and…
Long Time Behavior of Flat Jump Discontinuities of Hyperbolic PDE – J. Rauch (Michigan U.)
Venue Sala Riunioni (Dip. Matematica). Abstract…
Neural networks for image understanding: methods, limitations, and new frontiers – Fabio Carrara (ISTI-CNR, Pisa)
Vision is natural and easy for living beings, while it is incredibly complex to be replicated in machines. In the last 40 years, a lot of work in Computer Vision has been spent trying to model and implement visual perception manually, with slow…
Large Data Solutions for Fractional Higher Order Nonlinear Equations. – Sandra Lucente (University of Bari)
Large Data Solutions for Fractional Higher Order Nonlinear Equations. Abstract: We consider a class of evolution equation involving fractional Laplacian and nonlinear polynomial term. We discuss global existence in the energy space, decay estimates…
Low-rank tensor methods for PDE-constrained optimization under uncertainty – Peter Benner (Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany)
We discuss optimization and control of unsteady partial differential equations (PDEs), where some coefficient of the PDE as well as the control may be uncertain. This may be due to the lack of knowledge about the exact physical parameters, like…
Optimal transport planning with a non linear cost – Guy Bouchitte’ (Universit\\’e de Toulon)
In optimal mass transport theory, many problems can be written in the Monge-Kantorovich form $$ \inf\{ \int_{X\times Y} c(x,y) \, d\gamma \ :\ \gamma\in \Pi(\mu,\ u)\}\ ,\eqno(1) $$ where $\mu,\ u$ are given probability measures on $X,Y$ and…
Intrinsic regular surfaces of low co-dimension in Heisenberg groups – Francesca Corni (Universita’ di Bologna)
In Heisenberg groups, and, more in general, in Carnot groups, equipped with their Carnot- Carathodory metric, the analogous of regular (Euclidean) surfaces of low co-dimensionkcan be consideredG-regular surfaces (H-regular ifG=Hn), i.e. level sets…
Supports of the Hitchin fibration on the reduced locus – Luca Migliorini (University of Bologna)
I’ll discuss some work in progress in collaboration with M.A. de Cataldo and J. Heinloth. Let $C$ be a nonsingular projective curve of genus $> 1$, and let $n$ and $d$ be two coprime integers. Given the moduli space $\mathcal{M}$ of stable Higgs…