Implication of the overlap representation for modelling generalized parton distributions

Based on a field theoretically inspired model of light-cone wave functions, we derive valence-like generalized parton distributions and their double distributions from the wave function overlap in the parton number conserved s-channel. The parton number changing contributions in the t-channel are restored from duality. In our construction constraints of positivity and polynomiality are simultaneously satisfied and it also implies a model dependent relation between generalized parton distributions and transverse momentum dependent parton distribution functions. The model predicts that the t-behavior of resulting hadronic amplitudes depends on the Bjorken variable x_Bj. We also propose an improved ansatz for double distributions that embeds this property.Comment: 15 pages, 8 eps figure

Empirical properties of large covariance matrices

The salient properties of large empirical covariance and correlation matrices are studied for three datasets of size 54, 55 and 330. The covariance is defined as a simple cross product of the returns, with weights that decay logarithmically slowly. The key general properties of the covariance matrices are the following. The spectrum of the covariance is very static, except for the top three to 10 eigenvalues, and decay exponentially fast toward zero. The mean spectrum and spectral density show no particular feature that would separate 'meaningful' from 'noisy' eigenvalues. The spectrum of the correlation is more static, with three to five eigenvalues that have distinct dynamics. The mean projector of rank k on the leading subspace shows that a large part of the dynamics occurs in the eigenvectors. Together, this implies that the reduction of the covariance to a few leading static eigenmodes misses most of the dynamics. Finally, all the analysed properties of the dynamics of the covariance and correlation are similar. This indicates that a covariance estimator correctly evaluates both volatilities and correlations, and separate estimators are not required.Covariance matrix, Correlation, Long memory, Spectrum, Spectral density,

Squamous-cell carcinoma arising in a non-irradiated child with recurrent respiratory papillomatosis.

We describe a patient with recurrent respiratory papillomatosis (RRP) associated with human papilloma virus (HPV), who developed a fatal squamous cell carcinoma of the lung. At the age of 1 year he presented with hoarseness, dyspnoea and inspiratory stridor but the diagnosis of RRP was made only 1 year later. At the age of 4 years he was tracheostomized because of upper airway obstruction. In spite of multiple surgical excisions and topic treatment with 5-fluorouracil the papillomata extended to the lung parenchyma. At the age of 16 years he developed a squamous-cell carcinoma of the lung and died 4 months later. Transformation to pulmonary carcinoma is a rare complication in non-irradiated patients with lung papillomatosis. We found only 11 similar cases in the literature