On Borell-Brascamp-Lieb Inequalities on Metric Measure Spaces

In this paper we introduce the notion of a Borell-Brascamp-Lieb inequality for metric measure spaces (M,d,m) denoted by BBL(K,N) for two numbers K,N ∈ ℝ with N ≥ 1. In the first part we prove that BBL(K,N) holds true on metric measure spaces satisfying a curvature-dimension condition CD(K,N) developed and studied by Lott and Villani in (Ann Math 169:903–991, 2007) as well as by Sturm in (Acta Math 196(1):133–177, 2006). The aim of the second part is to show that BBL(K,N) is stable under convergence of metric measure spaces with respect to the L ₂-transportation distance.     

Le cocycle du verger

We define and prove uniqueness of a natural homomorphism (called the Orchard morphism) from some groups associated naturally to a finite set E to the group $\text{E}\text{(E)}$ of two-partitions of E representing equivalence relations having at most two classes on E. As an application, given a finite generic configuration $\text{C}\text{?}\text{R}{}^{\mathrm{d}}$, we exhibit a natural partition of $\text{C}$ in two sets. To cite this article: R. Bacher, C. R. Acad. Sci. Paris, Ser. I 338 (2004).     

Dense lattices in dimensions 27–29

We exhibit integral lattices which are denser than the laminated lattices in dimensions 27–29. Oblatum 22-IV-1996 & 19-XII-1996     

Electron attachment to doped helium droplets: C60 -, (C60)2 -, and C60D2O- anions

Helium nanodroplets, formed in a supersonic expansion, are doped with C₆₀ in a pickup cell. In some experiments, they are co-doped with water. Electrons are attached to the doped droplets; the yield of anions is recorded as a function of electron energy. The C₆₀ ^- yield extends to much higher energies than in experiments involving isolated, hot fullerenes; we attribute the difference to the low temperature of the neutral precursors and the efficient cooling of the nascent anions by the helium droplet, which quench thermally activated autodetachment. The yields of (C₆₀)₂ ^- and C₆₀D₂O^- anions reveal another important factor, namely depletion of the anion signal by dissociation which is energetically more facile than autodetachment.     

Modern Trends in Organic Light-Emitting Devices (OLEDs)

Synthesis of crosslinkable small and large organic molecules having OLED properties will be presented. Three strategies for the construction of multilayer devices will be described. In the first case small, well-defined OLED-molecules are functionalized with oxetanes as crosslinker. The second case deals with polymers having OLED active units in the main chain and pendant crosslinkers and finally it was shown that styrene polymers with pendant OLED functions and crosslinkers can be applied for the construction of such multilayer and multicolour devices.     

T–T Neutron Spectrum from Inertial Confinement Implosions

A new technique that uses inertial confinement implosions for measuring low-energy nuclear reactions important to nuclear astrophysics is described. Simultaneous measurements of n–D and n–T elastic scattering at 14.1 MeV using deuterium–tritium gas-filled capsules provide a proof of principle for this technique. Measurements have been made of D(d,p)T (dd) and T(t,2n)⁴He (tt) reaction yields relative to the D(t,n)⁴He (dt) reaction yield for deuterium–tritium mixtures with f _T /f _D between 0.62 and 0.75 and for a wide range of ion temperatures to test our understanding of the implosion processes. Measurements of the shape of the neutron spectrum from the T(t,2n)⁴He reaction have been made for each of these target configurations.     

Analyzing the effects of thermal stress on insulator papers by solid-state 13C NMR spectroscopy

Cellulose - Million tons of cellulosic paper have been used for insulating coils in oil-filled electrical power transformers, thereby assuring the electricity supply for our societies. The high...     

Impact of residual extractives on the thermal stability of softwood Kraft pulp

Cellulose - Wood extractives are known to cause problems during the production of pulp and paper and to impact their mechanical properties. In the present work, we systematically explored whether...