Functions and differentials on the non-split Cartan modular curve of level 11

The genus 4 modular curve Xns(11) attached to a non-split Cartan group of level 11 admits a model defined over Q. We compute generators for its function field in terms of Siegel modular functions. We also show that its Jacobian is isomorphic over Q to the new part of the Jacobian of the classical modular curve X0(121)Postprint (author's final draft

Evolutionary constraints on the complexity of genetic regulatory networks allow predictions of the total number of genetic interactions

Genetic regulatory networks (GRNs) have been widely studied, yet there is a lack of understanding with regards to the final size and properties of these networks, mainly due to no network currently being complete. In this study, we analyzed the distribution of GRN structural properties across a large set of distinct prokaryotic organisms and found a set of constrained characteristics such as network density and number of regulators. Our results allowed us to estimate the number of interactions that complete networks would have, a valuable insight that could aid in the daunting task of network curation, prediction, and validation. Using state-of-the-art statistical approaches, we also provided new evidence to settle a previously stated controversy that raised the possibility of complete biological networks being random and therefore attributing the observed scale-free properties to an artifact emerging from the sampling process during network discovery. Furthermore, we identified a set of properties that enabled us to assess the consistency of the connectivity distribution for various GRNs against different alternative statistical distributions. Our results favor the hypothesis that highly connected nodes (hubs) are not a consequence of network incompleteness. Finally, an interaction coverage computed for the GRNs as a proxy for completeness revealed that high-throughput based reconstructions of GRNs could yield biased networks with a low average clustering coefficient, showing that classical targeted discovery of interactions is still needed.Comment: 28 pages, 5 figures, 12 pages supplementary informatio

Computation of numerical semigroups by means of seeds

For the elements of a numerical semigroup which are larger than the Frobenius number, we introduce the definition of, seed, by broadening the notion of generator. This new concept allows us to explore the semigroup tree in an alternative efficient way, since the seeds of each descendant can be easily obtained from the seeds of its parent. The paper is devoted to presenting the results which are related to this approach, leading to a new algorithm for computing and counting the semigroups of a given genus

Fijación de la frontera castellano-leonesa en el siglo XII.

Sin resume

The automorphism group of the non-split Cartan modular curve of level 11

We derive equations for the modular curve $X_{ns}(11)$ associated to a non-split Cartan subgroup of $\,\mathrm{GL}_2(\mathbf{F}_{11})$. This allows us to compute the automorphism group of the curve and show that it is isomorphic to Klein's four group

Gender of Personality and Individual Differences (PAID) contributors: An analysis of recent years (2008-2016)

This study aims to identify the gender of researchers who published in Personality and Individual Differences (PAID) during the 2008–2016 period. Of a total of 12,137 authorships, gender could be identified in 11,023 (90.8%). Results show a slight gender imbalance in favor of men that tends to diminish throughout the years, almost reaching parity in the last three years. Data show that: a) gender asymmetry is greater in the number of authorships than in the number of authors (individuals), partly because men tend to publish in a wider range of years during the period studied; b) men are relatively overrepresented in the last (senior) position of the author by-line; and c) in relative terms, women tend to be concentrated in the last years of the period studied. Taken together, these three points suggest that age probably plays a role in the (slight) gender imbalance, as observed in other scientific fields. Regarding the scientific impact of contributors, no gender differences were found in the number of citations received