Sparse dictionary learning has a long history and produces wavelet-like filters when fed with natural image patches, corresponding to the V1 primary visual cortex of the human brain. Wavelets as local...
This talk is about a family of infinite dimensional affine schemes recently introduced by myself and Bernard Leclerc called schemes of (G,c)-bands. Here G denotes a simple simply laced and simply conn...
Hyperbolic balance laws can have particular moving equilibria involving particular source terms or based on divergence-free structures. Maintaining at a discrete level such equilibria (either exactly ...
Cosa accade se lasciamo cadere della sabbia su una superficie piccola che non può contenerla tutta? In che modo presa una miscela di acqua e olio le due componenti si separano? A cosa è dovuta la stra...
Filtered curved Lie algebras are quite common in mathematics. A typical example is graded Lie algebra of differential forms on a complex manifolds with values in the endomorphism bundle of a holomorp...
Let V be a representation of a connected complex reductive group G. The group acts on the ring of regular functions on V: the asymptotic support of this representation is a closed convex polyhedral co...
In this talk, I will introduce a new statistic on Weyl groups called the
atomic length, and clarify this terminology by drawing parallels with
the usual Coxeter length. It turns out that the atomic le...
In the first part of the talk, I will review recent techniques to prove that certain Euclidean Field Theories arise as high-density limits of interacting Bose gases at positive temperature.
In the sec...
