Curvature-dimension inequalities and Li-Yau inequalities in sub-Riemannian spaces

In this paper we present a survey of the joint program with Fabrice Baudoin originated with the paper \cite{BG1}, and continued with the works \cite{BG2}, \cite{BBG}, \cite{BG3} and \cite{BBGM}, joint with Baudoin, Michel Bonnefont and Isidro Munive.Comment: arXiv admin note: substantial text overlap with arXiv:1101.359

Exploring new physics frontiers through numerical relativity

The demand to obtain answers to highly complex problems within strong-field gravity has been met with significant progress in the numerical solution of Einstein's equations - along with some spectacular results - in various setups. We review techniques for solving Einstein's equations in generic spacetimes, focusing on fully nonlinear evolutions but also on how to benchmark those results with perturbative approaches. The results address problems in high-energy physics, holography, mathematical physics, fundamental physics, astrophysics and cosmology

Application of gas chromatography mass spectrometry (GC–MS) in conjunction with multivariate classification for the diagnosis of gastrointestinal diseases

Gastrointestinal diseases such as irritable bowel syndrome, Crohn’s disease (CD) and ulcerative colitis are a growing concern in the developed world. Current techniques for diagnosis are often costly, time consuming, inefficient, of great discomfort to the patient, and offer poor sensitivities and specificities. This paper describes the development and evaluation of a new methodology for the non-invasive diagnosis of such diseases using a combination of gas chromatography mass spectrometry (GC–MS) and chemometrics. Several potential sample matrices were tested: blood, breath, faeces and urine. Faecal samples provided the only statistically significant results, providing discrimination between CD and healthy controls with an overall classification accuracy of 85 %(78 %specificity; 93 %sensitivity). Differentiating CD from other diseases proved more challenging, with overall classification accuracy dropping to 79 % (83 % specificity; 68 % sensitivity). This diagnostic performance compares well with the gold standard technique of colonoscopy, suggesting that GC–MS may have potential as a non-invasive screening tool

Systems approach to studying animal sociality: Individual position versus group organization in dynamic social network models

10.1371/journal.pone.0015789PLoS ONE512