Robust vanishing of all Lyapunov exponents for iterated function systems

Given any compact connected manifold $M$ , we describe $C^2$ -open sets of iterated functions systems (IFS’s) admitting fully-supported ergodic measures whose Lyapunov exponents along $M$ are all zero. Moreover, these measures are approximated by measures supported on periodic orbits. We also describe $C^1$ -open sets of IFS’s admitting ergodic measures of positive entropy whose Lyapunov exponents along $M$ are all zero. The proofs involve the construction of non-hyperbolic measures for the induced IFS’s on the flag manifold.     

Phase diagram of Si-doped spin-Peierls compound CuGeO3

We have performed magnetic susceptibility measurements on CuGe_1−xSi_xO₃ single crystals and obtained a detailed (T,x) phase diagram. In order to fully characterize the nature of the SP and AF phases in this diagram, we studied both order parameters by neutron diffraction as a function of temperature and Si concentration.     

Surface study of the building steps of enzymatic sol–gel biosensors at the micro- and nano-scales

We have studied, by scanning electron and atomic force (AFM) microscopies, how each step involved in the building process of massive carbon-based sol–gel enzymatic biosensors changes and determines the resulting surface morphology and nano-mechanical properties. The biosensor, selected as a model, is developed by the entrapment of glucose oxidase (GOx), a redox mediator and a material conferring conductivity (graphite powder, C) into a polymeric tridimensional network generated by sol–gel technology using tetraethoxysilane (TEOS) as precursor. The smooth TEOS morphology is formed by an irregular nanoporous network, which is very adequate for enzyme encapsulation. Upon addition of carbon powder to the system (TEOS/C), the surface morphology changes but it is still rather irregular since carbon powder micro-grains are found scattered on it. This morphology results in a rather rough surface at the micro- scale whereas at the nano- scale both atomically flat graphitic and nanoporous TEOS domains are found. In contrast, the final biosensing device surface is quite homogeneous and composed by flat platelets separated by deep crevices. On top of most of these platelets there is a soft, as assessed by AFM force indentation experiments, layer of globular structures whose dimensions are compatible with GOx molecules. The final device surface architecture results to be open and accessible both at the micro and nano scales, which turns it as adequate to enhance both the accessibility of the analytes to entrapped proteins and the mass-transfer rates. Finally, in order to show the applicability of the studied biosensor, its response was evaluated towards varying glucose concentrations, displaying a clear electrocatalytic activity.     

Iodosobenzene Diacetate and Diphenyl Diselenide: An Electrophilic Selenenylating Agent of Double Bonds

Phenylseleno-acetoxylation, hydroxylation, etherification and lactonization products are obtained in good yields from the reaction of alkenes with diphenyl diselenide and iodosobenzene diacetate, in acetonitrile.

     

Experimental design for optimization of microwave-assisted extraction of benzodiazepines in human plasma

A simple and fast microwave-assisted-extraction (MAE) method has been evaluated as an alternative to solid-phase extraction (SPE) for the determination of six benzodiazepines widely prescribed in European countries (alprazolam, bromazepam, diazepam, lorazepam, lormetazepam and tetrazepam) in human plasma. For MAE optimization a Doehlert experimental design was used with extraction time, temperature and solvent volume as influential parameters. A desirability function was employed in addition to the simultaneous optimization of the MAE conditions. The analysis of variance showed that the solvent volume had a positive influence on the extraction of all the analytes tested, achieving a statistically significant effect. Also, the extraction time had a statistically significant effect on the extraction of four benzodiazepines. The selected MAE conditions—89 °C, 13 min and 8 mL of chloroform/2-propanol (4:1, v/v)—led to recoveries between 89.8 ± 0.3 and 102.1 ± 5.2% for benzodiazepines using a high performance liquid chromatography method coupled with diode-array detection. The comparison of MAE and SPE shows better results for MAE, with a lower number of steps in handling the sample and greater efficiency. The applicability of MAE was successfully tested in 27 plasma samples from benzodiazepine users.     

The additive multiboxes

We introduce the new notion of additive “multibox” for linear logic proof-nets. Thanks to this notion, we define a cut-elimination procedure which associates with every proof-net of multiplicative and additive linear logic a unique cut-free one.