Multilocal Fermionization

We present a simple isomorphism between the algebra of one real chiral Fermi field and the algebra of n real chiral Fermi fields. The isomorphism preserves the vacuum state. This is possible by a “change of localization”, and gives rise to new multilocal symmetries generated by the corresponding multilocal current and stress–energy tensor. The result gives a common underlying explanation of several remarkable recent results on the representation of the free Bose field in terms of free Fermi fields (Anguelova, arXiv:1112.3913, 2011; Anguelova, arXiv:1206.4026, 2012), and on the modular theory of the free Fermi algebra in disjoint intervals (Casini and Huerta, Class Quant Grav 26:185005, 2009; Longo et al., Rev Math Phys 22:331–354, 2010)     

Social Influence Maximization in Hypergraphs

This work deals with a generalization of the minimum Target Set Selection (TSS) problem, a key algorithmic question in information diffusion research due to its potential commercial value. Firstly proposed by Kempe et al., the TSS problem is based on a linear threshold diffusion model defined on an input graph with node thresholds, quantifying the hardness to influence each node. The goal is to find the smaller set of items that can influence the whole network according to the diffusion model defined. This study generalizes the TSS problem on networks characterized by many-to-many relationships modeled via hypergraphs. Specifically, we introduce a linear threshold diffusion process on such structures, which evolves as follows. Let H=(V,E) be a hypergraph. At the beginning of the process, the nodes in a given set S⊆V are influenced. Then, at each iteration, (i) the influenced hyperedges set is augmented by all edges having a sufficiently large number of influenced nodes; (ii) consequently, the set of influenced nodes is enlarged by all the nodes having a sufficiently large number of already influenced hyperedges. The process ends when no new nodes can be influenced. Exploiting this diffusion model, we define the minimum Target Set Selection problem on hypergraphs (TSSH). Being the problem NP-hard (as it generalizes the TSS problem), we introduce four heuristics and provide an extensive evaluation on real-world networks.     

An exciton-coupled circular dichroism protocol for the determination of identity, chirality, and enantiomeric excess of chiral secondary alcohols

Chiral mono-ols are among the most sought after targets in asymmetric synthesis, and therefore, their chemical characterization and associated enantiomeric excess (ee) values are commonly reported. A simple optical method for determining alcohol identity and ee could be widely used. Toward this end, an in situ-generated multicomponent assembly that creates diastereomeric tris(pyridine) metal complexes incorporating chiral secondary alcohols was explored using exciton-coupled circular dichroism (ECCD). Qualitative models were proposed to predict the preferential diastereomer and its twist, and computational studies provided a rationalization of the CD spectra. Different ECCD spectra found for diastereomers formed in the self-assembled tris(pyridine) complexes were used to determine the absolute configurations of chiral mono-ols. Linear discriminant analysis was successfully employed to classify the alcohol analytes, thereby allowing identification of the alcohols. Conformational effects imparted by heteroatoms were also explored, further expanding the substrate scope. Finally, ee calibration curves allowed the determination of the ee of unknown samples of three chiral secondary alcohols with an average error of 3%. The assay described here is unique because no preparation of structurally elaborated chiral hosts is needed.     

Novel method to investigate protein carbonylation by iTRAQ strategy

This paper reports a novel methodology for relative quantitative analysis of carbonylation sites in proteins by exploiting a new isobaric tag for relative and absolute quantitation (iTRAQ) derivative, iTRAQ hydrazide (iTRAQH), and the analytical power of linear ion trap instruments (QqLIT). Because of its operational simplicity, avoiding time-consuming enrichment procedures, this new strategy seems to be well suited for quantitative large-scale proteomic profiling of carbonylation.     

Non-negative solutions of systems of ODEs with coupled boundary conditions

We provide a new existence theory of multiple positive solutions valid for a wide class of systems of boundary value problems that possess a coupling in the boundary conditions. Our conditions are fairly general and cover a large number of situations. The theory is illustrated in details in an example. The approach relies on classical fixed point index.     

On the Rao modules of minimal curves in $${\mathbb{P}^N}$$

We study the Hartshorne-Rao modules M _C of minimal curves C in \mathbbP^N{\mathbb{P}^N} , with N ≥ 4, lying in the same liaison class of curves on a smooth rational scroll surface. We get a free minimal resolution of M _C for some of such curves and an upper bound for Betti numbers of M _C , for any C.     

A characterization of the family of external lines to a quadratic cone of PG(3, q), q

In this paper we characterize the family of external lines to a quadratic cone of PG(3, q), q odd, by their intersection properties with points and planes of the space.     

A phenomenological study of bottom-quark fragmentation in top-quark decay

Top-quark physics is one of the main fields of investigation at the Tevatron accelerator and, ultimately, at the LHC. We perform a phenomenological analysis of $t\bar{t}$ events at hadron colliders, with a focus on observables relying on bottom-quark fragmentation in top-quark decay. In particular, we investigate the B-lepton invariant-mass distribution in the dilepton channel and give an estimate of the contribution of bottom fragmentation to the Monte Carlo uncertainty on the top-quark mass reconstruction.