Anatomy of quantum chaotic eigenstates

The eigenfunctions of quantized chaotic systems cannot be described by explicit formulas, even approximate ones. This survey summarizes (selected) analytical approaches used to describe these eigenstates, in the semiclassical limit. The levels of description are macroscopic (one wants to understand the quantum averages of smooth observables), and microscopic (one wants informations on maxima of eigenfunctions, "scars" of periodic orbits, structure of the nodal sets and domains, local correlations), and often focusses on statistical results. Various models of "random wavefunctions" have been introduced to understand these statistical properties, with usually good agreement with the numerical data. We also discuss some specific systems (like arithmetic ones) which depart from these random models.Comment: Corrected typos, added a few references and updated some result

Genetic differences in the frequency of the hinge variants of porcine IgA is breed dependent

The distribution of the IgAa and IgAb alleles of porcine IgA in over 160 randomly-selected animals revealed an abundance of heterozygotes but only two b/b homozygotes. Since the IgAb allotype is a splice site mutant lacking two-thirds of the hinge, this study tests the hypothesis that pigs with this genotype may be at a selective disadvantage while heterozygous individuals may be at some advantage. This hypothesis was tested by collecting data on 374 animals of known breed and often parentage. We show here that when breed was not considered, young animals of known parentage had genotypic frequencies identical to that expected for Mendelian alleles but that a/b heterozygotes were overrepresented in adults. However, when analyzed with regard to breed, a very strong association between breed and the frequency of the IgAa and IgAb alleles was discovered. Meishan and NIH minipigs were homozygous for IgA while heterozygotes predominated in Berkshire, Chester White, Durocs, Hampshire and Landrace. Animals homozygous for IgAb were best represented in the White Cross line. We show here that this very strong breed dependency of IgA allotypy in swine can produce a sample bias that can explain why only two b/b homozygotes (1.3%) were found in the 160 randomly-selected samples since the original samples came from primarily Landrace and Yorkshire animals. The expected frequency of b/b homozygotes in these breeds would be a and IgAb appear to be simple, breed-dependent allotypic markers.This is an article from Veterinary Immunology and Immunopathology 73 (2000): 287, doi:10.1016/S0165-2427(00)00150-1. Posted with permission.</p

Why are women more religious than men? Testing the explanatory power of personality theory among undergraduate students in Wales

This study tests the explanatory power of personality-based psychologically grounded theories to account for the well-established finding within the psychology of religion that within Christian and post-Christian contexts women are more religious than men. A sample of 1682 undergraduate students in Wales completed the short form of the Eysenck Personality Questionnaire Revised together with the adult form of the Francis Scale of Attitude towards Christianity and measures of frequency of church attendance, and frequency of personal prayer. These data confirm that women record higher levels of religiosity and lower levels of psychoticism, and demonstrate that psychoticism is the strongest predictor of individual differences in religiosity. Multiple-regression analyses show that, when individual differences in personality are taken into account, biological sex adds no further impact on religiosity. This finding suggests that higher levels of religiosity among women may be interpreted as a function of basic psychological differences in levels of psychoticism rather than as a sociological function of being female