If f is a positive definite form, Reznick’s Positivstellensatz states that there exists [Formula: see text] such sum of squares polynomials. Assuming can be written as forms text], where each l depends on subset the initial variables, and assuming these subsets satisfy so-called running intersection property, we provide sparse version Positivstellensatz. Namely, σ polynomials, H uniform polynom...

A very interesting large class of groups is provided by the linear groups, namely the subgroups of GLd(K), for some (commutative) field K. There are few general tools to study arbitrary finitely generated groups (often one has to resort to combinatorics and analysis as we did in Lecture 1 above for example). However for linear groups the situation is very different and a wide range of technique...

dans la traduction d’une œuvre littéraire, la question de la transmission appropriée du registre utilisé en langue source exige la connaissance parfaite du traducteur des deux langues de départ et d’arrivée pour respecter la fidélité à l’original, en trouvant des équivalents adéquats. parfois, il arrive que dans la traduction d’une œuvre, sa langue orale et par conséquent son registre de langue...

Andrée-Anne Houde ([email protected]) Cécilia Légaré ([email protected]) Simon Biron ([email protected]) Odette Lescelleur ([email protected]) Laurent Biertho ([email protected]) Simon Marceau ([email protected]) André Tchernof ([email protected]) Marie-Claude Vohl ([email protected]) Marie-Fran...

Alexandre Bisdorffa,∗, Michael Von Brevernb, Thomas Lempertc and David E. Newman-Tokerd Department of Neurology, Centre Hospitalier Emile Mayrisch, L-4005 Esch-sur-Alzette, Luxembourg Vestibular Research Group Berlin, Department of Neurology, Park-Klinik Weissensee, Berlin, Germany Vestibular Research Group Berlin, Department of Neurology, Schlosspark-Klinik, Berlin, Germany Department of Neuro...

In this issue of Blood, the findings of Chakraborty et al and Emile et al support a model in which the mitogen-activated protein kinase (MAPK) and PI3K/AKT pathways are critical in the pathogenesis of 2 of the most common histiocytoses—Langerhans cell histiocytosis (LCH) and Erdheim-Chester disease (ECD)—whereas their respective mutational profiles demonstrate important similarities and differe...

Catherine Letondal Pierre-Yves Pillain Emile Verdurand Daniel Prun Olivier Grisvard Univ. Toulouse, ENAC Télécom Bretagne Univ. Toulouse, ENAC Télécom Bretagne Lab-STICC, UMR CNRS 3192 / THALES 31055 Toulouse, France 29238 Brest, France 31055 Toulouse, France 29238 Brest, France [email protected] {py.pillain, emile.verdurand}@ [email protected] olivier.grisvard@ . telecom-bretagne.eu...