On The Structure and Representations of the Insertion–Elimination Lie Algebra

We examine the structure of the insertion–elimination Lie algebra on rooted trees introduced in Connes and Kreimer (Ann. Henri Poincar 3(3):411–433, 2002). It possesses a triangular structure , like the Heisenberg, Virasoro, and affine algebras. We show in particular that it is simple, which in turn implies that it has no finite-dimensional representations. We consider a category of lowest-weight representations, and show that irreducible representations are uniquely determined by a “lowest weight” . We show that each irreducible representation is a quotient of a Verma-type object, which is generically irreducible.      

Carbon-13 NMR Study of 2,4,6-Triaryl Pyridinium Salts

The carbon-13 chemical shift of seventeen N-substituted 2,4,6-triphenyl pyridinium salts (TPP) and N-substituted 2,4,6-triaryl pyridinium (TsPP) salts have been determined.     

Equivariant quantization of orbifolds

Equivariant quantization is a new theory that highlights the role of symmetries in the relationship between classical and quantum dynamical systems. These symmetries are also one of the reasons for the recent interest in quantization of singular spaces, orbifolds, stratified spaces, etc. In this work, we prove the existence of an equivariant quantization for orbifolds. Our construction combines an appropriate desingularization of any Riemannian orbifold by a foliated smooth manifold, with the foliated equivariant quantization that we built in Poncin et al. (2009) [19]. Further, we suggest definitions of the common geometric objects on orbifolds, which capture the nature of these spaces and guarantee, together with the properties of the mentioned foliated resolution, the needed correspondences between singular objects of the orbifold and the respective foliated objects of its desingularization.     

An orbifold relative index theorem

In this paper we prove a relative index theorem for pairs of generalized Dirac operators on orbifolds which are the same at infinity. This generalizes to orbifolds a celebrated theorem of Gromov and Lawson.     

Lieb–Thirring Inequalities for Schrödinger Operators with Complex-valued Potentials

Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential.     

In vitro mouse model in Duchenne muscular dystrophy diagnosis using 50-MHz ultrasound waves

Duchenne muscular dystrophy (DMD) is caused by the absence of dystrophin, the protein that plays a key mechanical role in maintaining muscle membrane integrity. One of the major consequences of dystrophin deficiency is the degeneration of muscle fibres, with a progressive loss in muscle strength. The objective of this research was to find an ultrasonic parameter sensitive to DMD, which could give relevant information related to microstructure if compared to traditional investigations such as morphometrical analysis. This “in vitro” study focused on the Mdx mouse model and investigated the potential differences between wild-type and dystrophin-deficient mice diaphragms. Using a 50 MHz ultrasonic sensor built in our group, we recorded an increase in ultrasonic wave attenuation in the dystrophin-deficient samples in comparison with normal muscles. A correlation between attenuation, mouse age and the percentage of non-muscular proportion in muscle was observed. As Mdx mouse is the best animal model for DMD and reproduces the degenerative pattern observed in human DMD muscles, this approach could be a powerful tool for in vitro DMD investigation and, more generally, for the characterisation of muscle properties.     

From the BRST invariant Hamiltonian to the field-antifield formalism

We study the relation between the Lagrangian field-antifield formalism and the BRST invariant phase-space formulation of gauge theories. Starting from the Batalin-Fradkin-Vilkovisky unitarized action, we demonstrate in a deductive way the equivalence of the phase-space, and the Lagrangian field-antifield partition functions for the case of irreducible first rank theories.     

荧光猝灭光谱法测定DNA

利用荧光光谱法对5-邻氯乙酰氧基苯基-10,15,20-三苯基卟啉与脱氧核糖核酸（DNA）在不同条件下的荧光光谱特征进行了研究。实验表明,在低离子强度下,小牛胸腺DNA导致卟啉的荧光强度猝灭。在pH4.4的B-R缓冲介质中,荧光猝灭程度与小牛胸腺DNA的浓度呈线性关系,线性方程为ΔF=29.8C（μg/mL）-1.17,线性范围为0—10μg/mL,检出限为1.22μg/mL,相关系数为0.9949。对提取的植物基因组总DNA进行测试,由线性方程求得样品中的DNA含量。     

杭州市2014年城区大气污染物浓度变化特征观测分析

为了研究杭州市城区大气污染物的浓度变化特征,本文选取了2014年杭州市环境监测中心站空气质量自动监测站的大气污染物浓度数据,并结合地面气象要素资料进行分析,结果表明,在观测期间,杭州市城区大气中的PM_2.5污染状况最严重,日平均浓度的超标率达30.7%;各污染物全年分布呈现明显的季节变化：O₃浓度呈现与该季节气温和太阳辐射强度在全年中的排列相一致的夏、秋、春和冬季依次递减的分布,NO₂则呈现冬高夏低,春秋介于两者之间的分布,SO₂浓度从高到低依次为冬季>春季>秋季>夏季,CO、PM_2.5和PM₁₀浓度都呈现出冬高夏季、春秋季变化平缓的季节变化特征;各污染物浓度日变化呈现不同变化规律：O₃和O_x浓度四季的日变化都呈单峰型分布,浓度峰值都出现在13:00～15:00,SO₂也呈现单峰型分布,在09:00～10:00左右达到峰值,于次日04:00左右达到谷值,NO₂、CO、PM_2.5和PM₁₀浓度的日变化特征类似,呈现双峰型变化,且峰值都与早晚高峰时间基本重合,冬季相对于其他季节首峰值时间推迟一小时左右;利用成对样本T检验进行比较,结果表明：NO₂浓度在17:00～次日09:00工作日均明显高于周末,而在09:00～14:00工作日略低于周末,14:00～17:00浓度基本相等,O₃浓度则在工作日的各时刻均高于周末;气象要素是大气污染物分布的重要影响因子,O₃与气温和风速呈极显著正相关关系,与湿度呈极显著负相关关系,NO₂与之相反,SO₂、CO、PM_2.5和PM₁₀与风速呈现一致的显著负相关关系外,与其他气象要素在不同季节差异性较大,SO₂和PM₁₀与相对湿度呈现极显著负相关关系,CO和PM_2.5与气温和湿度的相关性在不尽相同。