Strictly singular operators in pairs of L (p) space

Let E and F be Banach spaces. A linear operator from E to F is said to be strictly singular if, for any subspace Q aS, E, the restriction of A to Q is not an isomorphism. A compactness criterion for any strictly singular operator from L (p) to L (q) is found. There exists a strictly singular but not superstrictly singular operator on L (p) , provided that p not equal 2.

New indolium fluorofores for two-photon absortion (2PA) bioimaging applications

The development of organic materials with 2PA has attracted intensive attention in the past two decades [1]. In two-photon bio-imaging applications the design of the chromophore requires to have a good cross-section (σ2PA) and good biological compatibility which depends on the molecular volume and polarity [2]. In this work, we present the design, synthesis and characterization of new indolium derivatives. These compounds are easy to achieve with good yields and good photophysical properties. In addition, time-dependent density functional theory (TDDFT) has been carried out to investigate the energy level of the ground and excited state. Their spectral properties and assays performed on cultured cells, demonstrate the potential of these compounds as fluorescent probes with application in two-photon bio-imaging.

Arrangement of gene pairs, retrotransposon insertions, and regulation of gene expression in plants

Plant genomes are extremely complex. Myriad factors contribute to their evolution and organization, as well as to the expression and regulation of individual genes. Here we present investigations into several such factors and their influence on genome structure and gene expression: the arrangement of pairs of physically adjacent genes, retrotransposons closely associated with genes, and the effect of retrotransposons on gene pair evolution. All sequenced plant genomes contain a significant fraction of retrotransposons, including that of rice. We investigated the effects of retrotransposons within rice genes and within a 1 kb putative promoter region upstream of each gene. We found that approximately one-sixth of all rice genes are closely associated with retrotransposons. Insertions within a gene’s promoter region tend to block gene expression, while retrotransposons within genes promote the existence of alternative splicing forms. We also identified several other trends in retrotransposon insertion and its effects on gene expression. Several studies have previously noted a connection among genes between physical proximity and correlated expression profiles. To determine the degree to which this correlation depends on an exact physical arrangement, we studied the expression and interspecies conservation of convergent and divergent gene pairs in rice, Arabidopsis, and Populus trichocarpa. Correlated expression among gene pairs was quite common in all three species, yet conserved arrangement was rare. However, conservation of gene pair arrangement was significantly more common among pairs with strongly correlated expression levels. In order to uncover additional properties of gene pair conservation and rearrangement, we performed a comparative analysis of convergent, divergent, and tandem gene pairs in rice, sorghum, maize, and Brachypodium. We noted considerable differences between gene pair types and species. We also constructed a putative evolutionary history for each pair, which led to several interesting discoveries. To further elucidate the causes of gene pair conservation and rearrangement, we identified retrotransposon insertions in and near rice gene pairs. Retrotransposon-associated pairs are less likely to be conserved, although there are significant differences in the possible effect of different types and locations of retrotransposon insertions. The three types of gene pair also varied in their susceptibility to retrotransposon-associated evolutionary changes.

Proton Form Factor Puzzle and the CEBAF Large Acceptance Spectrometer(CLAS) Two-Photon Exchange Experiment

The electromagnetic form factors are the most fundamental observables that encode information about the internal structure of the nucleon. The electric ($G_{E}$) and the magnetic ($G_{M}$) form factors contain information about the spatial distribution of the charge and magnetization inside the nucleon. A significant discrepancy exists between the Rosenbluth and the polarization transfer measurements of the electromagnetic form factors of the proton. One possible explanation for the discrepancy is the contributions of two-photon exchange (TPE) effects. Theoretical calculations estimating the magnitude of the TPE effect are highly model dependent, and limited experimental evidence for such effects exists. Experimentally, the TPE effect can be measured by comparing the ratio of positron-proton elastic scattering cross section to that of the electron-proton $\large(R = \frac{\sigma (e^{+}p)}{\sigma (e^{-}p)}\large)$. The ratio $R$ was measured over a wide range of kinematics, utilizing a 5.6 GeV primary electron beam produced by the Continuous Electron Beam Accelerator Facility (CEBAF) at Jefferson Lab. This dissertation explored dependence of $R$ on kinematic variables such as squared four-momentum transfer ($Q^{2}$) and the virtual photon polarization parameter ($\varepsilon$). A mixed electron-positron beam was produced from the primary electron beam in experimental Hall B. The mixed beam was scattered from a liquid hydrogen (LH$_{2}$) target. Both the scattered lepton and the recoil proton were detected by the CEBAF Large Acceptance Spectrometer (CLAS). The elastic events were then identified by using elastic scattering kinematics. This work extracted the $Q^{2}$ dependence of $R$ at high $\varepsilon$ ($\varepsilon > $ 0.8) and the $\varepsilon$ dependence of $R$ at $\langle Q^{2} \rangle \approx 0.85$ GeV$^{2}$. In these kinematics, our data confirm the validity of the hadronic calculations of the TPE effect by Blunden, Melnitchouk, and Tjon. This hadronic TPE effect, with additional corrections contributed by higher excitations of the intermediate state nucleon, largely reconciles the Rosenbluth and the polarization transfer measurements of the electromagnetic form factors.

Laser cooling and trapping of argon metastable atomic beam

The high velocity of free atoms associated with the thermal motion, together with the velocity distribution of atoms has imposed the ultimate limitation on the precision of ultrahigh resolution spectroscopy. A sample consisting of low velocity atoms would provide a substantial improvement in spectroscopy resolution. To overcome the problem of thermal motion, atomic physicists have pursued two goals; first, the reduction of the thermal motion (cooling); and second, the confinement of the atoms by means of electromagnetic fields (trapping). Cooling carried sufficiently far, eliminates the motional problems, whereas trapping allows for long observation times. In this work the laser cooling and trapping of an argon atomic beam will be discussed. The experiments involve a time-of-flight spectroscopy on metastable argon atoms. Laser deceleration or cooling of atoms is achieved by counter propagating a photon against an atomic beam of metastable atoms. The solution to the Doppler shift problem is achieved using spatially varying magnetic field along the beam path to Zeeman shift the atomic resonance frequency so as to keep the atoms in resonance with a fixed frequency cooling laser. For trapping experiments a Magnetooptical trap (MOT) will be used. The MOT is formed by three pairs of counter-propagating laser beams with mutual opposite circular polarization and a frequency tuned slightly below the center of the atomic resonance and superimposed on a magnetic quadrupole field.

Large scale fabrication of nitrogen vacancy-embedded diamond nanostructures for single-photon source applications

Some color centers in diamond can serve as quantum bits which can be manipulated with microwave pulses and read out with laser, even at room temperature. However, the photon collection efficiency of bulk diamond is greatly reduced by refraction at the diamond/air interface. To address this issue, we fabricated arrays of diamond nanostructures, differing in both diameter and top end shape, with HSQ and Cr as the etching mask materials, aiming toward large scale fabrication of single-photon sources with enhanced collection efficiency made of nitrogen vacancy (NV) embedded diamond. With a mixture of O2 and CHF3 gas plasma, diamond pillars with diameters down to 45 nm were obtained. The top end shape evolution has been represented with a simple model. The tests of size dependent single-photon properties confirmed an improved single-photon collection efficiency enhancement, larger than tenfold, and a mild decrease of decoherence time with decreasing pillar diameter was observed as expected. These results provide useful information for future applications of nanostructured diamond as a single-photon source.

Pairs trading in the UK equity market: risk and return

In this paper, we provide the first comprehensive UK evidence on the profitability of the pairs trading strategy. Evidence suggests that the strategy performs well in crisis periods, so we control for both risk and liquidity to assess performance. To evaluate the effect of market frictions on the strategy, we use several estimates of transaction costs. We also present evidence on the performance of the strategy in different economic and market states. Our results show that pairs trading portfolios typically have little exposure to known equity risk factors such as market, size, value, momentum and reversal. However, a model controlling for risk and liquidity explains a far larger proportion of returns. Incorporating different assumptions about bid-ask spreads leads to reductions in performance estimates. When we allow for time-varying risk exposures, conditioned on the contemporaneous equity market return, risk-adjusted returns are generally not significantly different from zero.

Continuité des traits psychopathiques et contribution de la qualité des relations parents-enfant, enseignant-enfant et pairs-enfant à la modification de ces traits chez des enfants présentant un trouble des conduites

Ce mémoire de recherche investigue la continuité des traits psychopathiques chez les enfants de même que la contribution de la qualité des relations avec les parents, l’enseignant et les pairs à la variabilité de ces traits. La présente étude porte sur 281 enfants (48 % de filles) âgés de 6 à 9 ans avec un trouble des conduites. Trois dimensions de traits psychopathiques ont été évaluées chez les enfants (narcissisme, impulsivité, insensibilité), en plus d’un construit global. Ces traits ont été mesurés avec l’APSD par un parent et un enseignant à l’entrée dans l’étude (temps 0 ou T0) puis à une année d’intervalle sur une période de 4 ans (T1 à T4). Ces évaluateurs ont également évalué la qualité de leur relation avec l’enfant ainsi que celle avec les pairs (T0). Les résultats montrent que la stabilité différentielle des traits sur l’intervalle de quatre années va de faible à modérée pour chaque dimension. Cependant, l’analyse de la stabilité des niveaux moyens indique que c’est entre le T0 et le T2 que la variabilité des traits est la plus significative, la stabilité étant plus importante entre le T2 et le T4. Enfin, l’étude démontre qu’aucune des variables relationnelles ne contribue significativement à la variabilité des traits quatre ans plus tard et ce, pour chacune des dimensions ainsi que pour le construit global. stabilité, traits psychopathiques, traits antisociaux, trouble des conduites, enfants, relation avec le parent, relation avec l’enseignant, relation avec les pairs