Local rigidity for actions of Kazhdan groups on non commutative LpL_p-spaces

Given a discrete group $\Gamma$, a finite factor $\mathcal N$ and a real number $p\in [1, +\infty)$ with $p\neq 2,$ we are concerned with the rigidity of actions of $\Gamma$ by linear isometries on the $L_p$-spaces $L_p(\mathcal N)$ associated to $\mathcal N$. More precisely, we show that, when $\Gamma$ and $\mathcal N$ have both Property (T) and under some natural ergodicity condition, such an action $\pi$ is locally rigid in the group $G$ of linear isometries of $L_p(\mathcal N)$, that is, every sufficiently small perturbation of $\pi$ is conjugate to $\pi$ under $G$. As a consequence, when $\Gamma$ is an ICC Kazhdan group, the action of $\Gamma$ on its von Neumann algebra ${\mathcal N}(\Gamma)$, given by conjugation, is locally rigid in the isometry group of $L_p({\mathcal N}(\Gamma)).$Comment: 20 page

On Nori's Fundamental Group Scheme

We determine the quotient category which is the representation category of the kernel of the homomorphism from Nori's fundamental group scheme to its \'etale and local parts. Pierre Deligne pointed out an error in the first version of this article. We profoundly thank him, in particular for sending us his enlightning example reproduced in Remark 2.4 2).Comment: 29 page

An empirical parameterization of subsurface entrainment temperature for improved SST anomaly simulations in an intermediate ocean model

An empirical model for the temperature of subsurface water entrained into the ocean mixed layer (Te) is presented and evaluated to improve sea surface temperature anomaly (SSTA) simulations in an intermediate ocean model (IOM) of the tropical Pacific. An inverse modeling approach is adopted to estimate Te from an SSTA equation using observed SST and simulated upper-ocean currents. A relationship between Te and sea surface height (SSH) anomalies is then obtained by utilizing a singular value decomposition (SVD) of their covariance. This empirical scheme is able to better parameterize Te anomalies than other local schemes and quite realistically depicts interannual variability of Te, including a nonlocal phase lag relation of Te variations relative to SSH anomalies over the central equatorial Pacific. An improved Te parameterization naturally leads to better depiction of the subsurface effect on SST variability by the mean upwelling of subsurface temperature anomalies. As a result, SSTA simulations are significantly improved in the equatorial Pacific; a comparison with other schemes indicates that systematic errors of the simulated SSTAs are significantly small apparently due to the optimized empirical Te parameterization. Cross validation and comparisons with other model simulations are made to illustrate the robustness and effectiveness of the scheme. In particular it is demonstrated that the empirical Te model constructed from one historical period can be successfully used to improve SSTA simulations in anothe

Electrical and structural characterisation of plasma-polymerized TEOS thin films as humidity sensors

In this study, we used plasma polymerization of TEOS to deposit thin water molecule sensitive layers on two intredigitated aluminum electrodes evaporated on glass substrate. Electrical and structural analyses of the deposited sensitive layers have been evaluated through current-impedance responses and FTIR spectroscopy. The elaborated humidity resistive sensor exhibited a detectable response to relative humidity (RH) percentages ranging from 20 to 95%. The films showed good sensitivity to water molecule due to the presence of hydroxyl groups OH. These groups provide the adsorption sites for water and play an important role to the humidity sensor properties. The low impedance, good sensitivity as characterized by a linear change in impedance from 106 to 103 Ω over RH interval of 20–80% and low observed hysteresis of about 4%, make the elaborated layer a promising candidate for humidity sensors development.In this study, we used plasma polymerization of TEOS to deposit thin water molecule sensitive layers on two intredigitated aluminum electrodes evaporated on glass substrate. Electrical and structural analyses of the deposited sensitive layers have been evaluated through current-impedance responses and FTIR spectroscopy. The elaborated humidity resistive sensor exhibited a detectable response to relative humidity (RH) percentages ranging from 20 to 95%. The films showed good sensitivity to water molecule due to the presence of hydroxyl groups OH. These groups provide the adsorption sites for water and play an important role to the humidity sensor properties. The low impedance, good sensitivity as characterized by a linear change in impedance from 106 to 103 Ω over RH interval of 20–80% and low observed hysteresis of about 4%, make the elaborated layer a promising candidate for humidity sensors development

Optical properties of an ensemble of G-centers in silicon

We addressed the carrier dynamics in so-called G-centers in silicon (consisting of substitutional-interstitial carbon pairs interacting with interstitial silicons) obtained via ion implantation into a silicon-on-insulator wafer. For this point defect in silicon emitting in the telecommunication wavelength range, we unravel the recombination dynamics by time-resolved photoluminescence spectroscopy. More specifically, we performed detailed photoluminescence experiments as a function of excitation energy, incident power, irradiation fluence and temperature in order to study the impact of radiative and non-radiative recombination channels on the spectrum, yield and lifetime of G-centers. The sharp line emitting at 969 meV ($\sim$1280 nm) and the broad asymmetric sideband developing at lower energy share the same recombination dynamics as shown by time-resolved experiments performed selectively on each spectral component. This feature accounts for the common origin of the two emission bands which are unambiguously attributed to the zero-phonon line and to the corresponding phonon sideband. In the framework of the Huang-Rhys theory with non-perturbative calculations, we reach an estimation of 1.6$\pm$0.1 \angstrom for the spatial extension of the electronic wave function in the G-center. The radiative recombination time measured at low temperature lies in the 6 ns-range. The estimation of both radiative and non-radiative recombination rates as a function of temperature further demonstrate a constant radiative lifetime. Finally, although G-centers are shallow levels in silicon, we find a value of the Debye-Waller factor comparable to deep levels in wide-bandgap materials. Our results point out the potential of G-centers as a solid-state light source to be integrated into opto-electronic devices within a common silicon platform

Relative Riemann-Zariski spaces

In this paper we study relative Riemann-Zariski spaces attached to a morphism of schemes and generalizing the classical Riemann-Zariski space of a field. We prove that similarly to the classical RZ spaces, the relative ones can be described either as projective limits of schemes in the category of locally ringed spaces or as certain spaces of valuations. We apply these spaces to prove the following two new results: a strong version of stable modification theorem for relative curves; a decomposition theorem which asserts that any separated morphism between quasi-compact and quasi-separated schemes factors as a composition of an affine morphism and a proper morphism. (In particular, we obtain a new proof of Nagata's compactification theorem.)Comment: 30 pages, the final version, to appear in Israel J. of Mat

A breakdown of household National Account according to household category for 2003

The household National Account published by the national statistical office presents a picture of the income, consumption and savings of households. It gives a measure of purchasing power within a consistent and integrated framework, which allows comparisons between countries. It is designed at a macro-level on the whole population so it can be used to analyse a "mean" household but without information on disparities between households. On the other hand, several types of household surveys exist providing individual data on income and consumption. Those surveys are used to measure inequalities between individuals. Nevertheless, survey estimates may be different from National Accounts figures. These two approaches (macro and micro levels) have been combined to give a breakdown of income and consumption measured in the national accounts (for the year 2003) according to four criteria: standard of living, household composition, age or socio-professional category of the head of the household. Results published can be found on the website: http://www.insee.fr/fr/themes/comptes-nationaux/souschapitre.asp?id=72. This working paper describes the methodology used to breakdown the household national account using survey data.Income, Consumption, Surveys, National Accounts, Households

Simulation of electron energy loss spectra with the turboEELS and thermo-pw codes

For some materials like noble metals, electron energy loss spectra have a complex structure that makes them difficult to analyze without the help of ab initio calculations. Various theoretical approaches can be used for this purpose, among which the time-dependent density functional perturbation theory (TDDFPT) which has been widely used to study plasmons in a number of bulk and surface systems. In the present paper we present a comparison of the results and performance of two different numerical implementations of TDDFPT: the Sternheimer and Liouville-Lanczos methods. The former approach is implemented in the thermo-pw module and the latter one in the turboEELS code of the QUANTUM ESPRESSO package for electronic structure calculations. In the present paper a comparison is made for bulk bismuth, a semimetal, taking into account spin-orbit coupling, as well as for bulk gold, a noble metal. We show that for these two examples, both codes gives identical results and the turboEELS code has a better performance than the thermo-pw code, and point out in which cases the usage of thermo-pw alone or of both codes can be advantageous