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François Genoud (EPFL) – Solutions explosives de l’équation de Schrödinger non-linéaire [katex]L^2[/katex]-critique sur un graphe étoilé

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Dans cet exposé, je présenterai la construction de solutions explosives de l'équation de Schrödinger non-linéaire (NLS) -critique sur un graphe étoilé. Ces solutions ont la masse minimale pour l'explosion et une valeur arbitraire de l'énergie. Le cas simple du graphe étoilé à deux branches correspond à (NLS) sur la droite…

Continuer la lectureFrançois Genoud (EPFL) – Solutions explosives de l’équation de Schrödinger non-linéaire [katex]L^2[/katex]-critique sur un graphe étoilé

Hao Zhang : Schatten class membership of commutators

Hao Zhang : Schatten class membership of commutators Abstract: Commutators are well-known as generalization of Hankel type operators. In this talk, we are concerned about the Schatten class membership of commutators involving nondegenerate singular integral operators. We describe their Schatten class membership in terms of Besov spaces. Our approach is…

Continuer la lectureHao Zhang : Schatten class membership of commutators

Oleg Szehr (Swiss AI Lab IDSIA): New insights on the asymptotic behavior of Jacobi polynomials and applications

Oleg Szehr (Swiss AI Lab IDSIA): New insights on the asymptotic behavior of Jacobi polynomials and applications Abstract: Although a recurrent tool in applied asymptotic analysis, the asymptotic behavior of Jacobi polynomials with varying parameters is frequently good for a surprise. We introduce a new, simple and robust approach to…

Continuer la lectureOleg Szehr (Swiss AI Lab IDSIA): New insights on the asymptotic behavior of Jacobi polynomials and applications

Takahiro Hasebe (Hokkaido University) : Lifting operators on a Hilbert space nicely to the tensor product or free product Hilbert space

Takahiro Hasebe (Hokkaido University) : Lifting operators on a Hilbert space nicely to the tensor product or free product Hilbert space Abstract: The basic five notions of independences in noncommutative probability (tensor, free, boolean, monotone, antimonotone) have canonical operator models on Hilbert spaces. All these models are based on constructing…

Continuer la lectureTakahiro Hasebe (Hokkaido University) : Lifting operators on a Hilbert space nicely to the tensor product or free product Hilbert space

Malte Gerhold (Université de la Sarre) : Classification of two-faced independences

Malte Gerhold (Université de la Sarre) : Classification of two-faced independences Abstract: Two-faced independences are independence relations for pairs of noncommutative random variables. An important example is bifree independence, which models the relation between left and right regular representation of the free group in the canonical tracial state. Around 2000,…

Continuer la lectureMalte Gerhold (Université de la Sarre) : Classification of two-faced independences