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Dix invités sont arrivés sur l'île du Soldat, mais rien ne semble normal : leur hôte est absent et quelqu'un a déposé dans leur chambre une comptine intitulée Les dix petits soldats. Tout bascule quand une voix accuse chaque membre de l'assistance d'un crime.
Book
Sharp constants in several inequalities on the Heisenberg group
We derive the sharp constants for the inequalities on the Heisenberg group ℍ n whose analogues on Euclidean space ℝ n are the well known Hardy-Littlewood-Sobolev inequalities. Only one special case had been known previously, due to Jerison-Lee more than twenty years ago. From these inequalities we obtain the sharp constants for their duals, which are the Sobolev inequalities for the Laplacian and conformally invariant fractional Laplacians. By considering limiting cases of these inequalities sharp constants for the analogues of the Onofri and log-Sobolev inequalities on ℍ n are obtained. The methodology is completely different from that used to obtain the ℝ n inequalities and can be (and has been) used to give a new, rearrangement free, proof of the HLS inequalities.
Journal Article
Anomalous magnetoresistance due to longitudinal spin fluctuations in a Jeff = 1/2 Mott semiconductor
As a hallmark of electronic correlation, spin-charge interplay underlies many emergent phenomena in doped Mott insulators, such as high-temperature superconductivity, whereas the half-filled parent state is usually electronically frozen with an antiferromagnetic order that resists external control. We report on the observation of a positive magnetoresistance that probes the staggered susceptibility of a pseudospin-half square-lattice Mott insulator built as an artificial SrIrO3/SrTiO3 superlattice.
Journal Article
