A Duflo star product for Poisson groups

Let $G$ be a finite-dimensional Poisson algebraic, Lie or formal group. We show that the center of the quantization of $G$ provided by an Etingof-Kazhdan functor is isomorphic as an algebra to the Poisson center of the algebra of functions on $G$. This recovers and generalizes Duflo's theorem which gives an isomorphism between the center of the enveloping algebra of a finite-dimensional Lie algebra $\mathfrak{a}$ and the subalgebra of ad-invariant in the symmetric algebra of $\mathfrak{a}$. As our proof relies on Etingof-Kazhdan construction it ultimately depends on the existence of Drinfeld associators, but otherwise it is a fairly simple application of graphical calculus. This shed some lights on Alekseev-Torossian proof of the Kashiwara-Vergne conjecture, and on the relation observed by Bar-Natan-Le-Thurston between the Duflo isomorphism and the Kontsevich integral of the unknot

Fourier transform for quantum DD-modules via the punctured torus mapping class group

We construct a certain cross product of two copies of the braided dual $\tilde H$ of a quasitriangular Hopf algebra $H$, which we call the elliptic double $E_H$, and which we use to construct representations of the punctured elliptic braid group extending the well-known representations of the planar braid group attached to $H$. We show that the elliptic double is the universal source of such representations. We recover the representations of the punctured torus braid group obtained in arXiv:0805.2766, and hence construct a homomorphism to the Heisenberg double $D_H$, which is an isomorphism if $H$ is factorizable. The universal property of $E_H$ endows it with an action by algebra automorphisms of the mapping class group $\widetilde{SL_2(\mathbb{Z})}$ of the punctured torus. One such automorphism we call the quantum Fourier transform; we show that when $H=U_q(\mathfrak{g})$, the quantum Fourier transform degenerates to the classical Fourier transform on $D(\mathfrak{g})$ as $q\to 1$.Comment: 12 pages, 1 figure. Final version, to appear in Quantum Topolog

Link Prediction with Mutual Attention for Text-Attributed Networks

In this extended abstract, we present an algorithm that learns a similarity measure between documents from the network topology of a structured corpus. We leverage the Scaled Dot-Product Attention, a recently proposed attention mechanism, to design a mutual attention mechanism between pairs of documents. To train its parameters, we use the network links as supervision. We provide preliminary experiment results with a citation dataset on two prediction tasks, demonstrating the capacity of our model to learn a meaningful textual similarity.Comment: Added missing referenc

Performance Evaluation of the Labelled OBS Architecture

A comparison of three different Optical Burst Switching (OBS) architectures is made, in terms of performance criteria, control and hardware complexity, fairness, resource utilization, and burst loss probability. Regarding burst losses, we distinguish the losses due to burst contentions from those due to contentions of Burst Control Packets (BCP). The simulation results show that as a counterpart of an its additional hardware complexity, the labelled OBS (L-OBS) is an efficient OBS architecture compared to a Conventional OBS (C-OBS) as well as in comparison with Offset Time-Emulated OBS (E-OBS)

Detailed study of Brazil nut (Bertholletia excelsa) oil micro-compounds : Phospholipids, tocopherols and sterols

The oil of the Brazil nut (Bertholletia excelsa) was studied for its composition in fatty acids, tocopherols, sterols and phospholipids. The fatty acids composition of phospholipids was also studied. These results were compared to those of sunflower, walnut, almond, soya and olive oils. Its high content of unsaturated fatty acids, of [bêta]-tocopherol and of [bêta]-sitosterol gave to the Brazil nut interesting antioxidant and anti-cholesterol properties. The composition of fatty acids in phospholipid is very different from the composition of the oil. Linolenic acid, which is not present in the oil, is present at a high level in phosphatidylethanolamine. (Résumé d'auteur

Control of a Gantry-Tau Structure

Todays, industrial robots don't correspond to the needs of the Small and Medium sized Enterprises (SME). Indeed, industrial robots are in many cases too hard to program or too expensive to be used by this kind of enterprises. In order to respond to this need, a European project was created, regrouping five major European robot manufacturers and five leading research institute and universities, named SMErobot. Its main task consists of exploiting the potentials of industrial robots, because they constitute the most flexible existing automation technology. This project set to create a radically new type of robot system, a whole family of SME-suitable robots. A new structure of parallel robots was hence designed to respond to these needs, named a Gantry-Tau structure. A prototype of this parallel kinematic structure was created in the Lund Robotics Laboratory, to test its characteristics and the different control methods that can be applied to it. Moreover, it can be use as a demonstration tool. The thesis project concerns the velocity and position control of the small-scale linear actuators which are used for a prototype of the Gantry-Tau robot

Hyperpalatable diet and physical exercise affects the brain metabolism : role of the brain lactate shuttle

Diet rich in fat and sugar associated to sedentary habits are the main cause of obesity. Obesity is a risk factor for the development of insulin resistance and diabetes. Insulin receptors and signaling modulates brain energetic metabolism. However, brain insulin resistance is associated with cognitive deficits and neurodegeneration. Lactate is an important energetic substrate to brain in specific situations; it is transported by monocarboxylate transporters (MCTs), which are regulated by many factors including insulin signaling. Hyperpalatable diet (HP) impairs brain insulin signaling whereas physical exercise improves insulin signaling and cognition function. We evaluated the effects of four months of HP diet followed by one month of physical exercise plus HP diet in MCT expression, lactate levels on hippocampus and brain mitochondrial function. Male C57BL/J6 mice, 1 month old were divided in the following groups: control diet sedentary (CDS), control diet exercise (CDE), HP diet sedentary (HPS), and HP diet exercise (HPE) (n=15 per group). Lactate extracellular brain fluid was increased in HPE group after Y-maze task when compared to other groups. The MCT-1 and 4 levels increased in exercise and HP diet groups. The hydrogen peroxide (H2O2) production stimulated by succinate in homogenate of hippocampus was increased in HPS group. Incubation of insulin (0.1 ug/mL) reduced the H2O2 production in all groups. In summary, these results showed that a HP diet increases MCT expression, affects brain lactate shuttle and mitochondrial function. However, voluntary physical exercise revert the negative effects of HP diet in this brain metabolic outcomes

Gasto autônomo endógeno em um modelo supermultiplicador Stock-Flow Consistent : uma avaliação dos efeitos de crescimento e de distribuição

Orientador: Antonio Carlos Macedo e SilvaTese (doutorado) - Universidade Estadual de Campinas, Instituto de EconomiaResumo: O modelo supermultiplicador (Serrano, 1995; Bortis, 1997) tem ganhado espaço no debate pós-keynesiano. Na sua versão mais recente, o modelo combina o gasto autônomo, que cresce a uma taxa dada exogenamente, com o comportamento harrodiano das firmas (Freitas, 2015; Allain, 2015; Lavoie, 2016). Isso permite que a capacidade se ajuste à demanda no longo prazo, com o grau de utilização retornando ao seu nível considerado normal. O pressuposto de que o crescimento do gasto autônomo é exógeno exclui, quase que por definição, a possibilidade de que alterações na distribuição de renda e nos gastos induzidos (nas propensões a gastar) tenham efeitos permanentes de crescimento. Além disso, tais modelos são, em sua maioria, modelos de fluxo que omitem os determinantes financeiros do gasto autônomo e as implicações das interações entre fluxos e estoques na economia. Levando isso em consideração, a tese se propõe a avaliar os resultados do modelo supermultiplicador quando o pressuposto original - de que o crescimento do componente autônomo de demanda é completamente exógeno - é relaxado. A tese ainda busca analisar as características do modelo supermultiplicador quando estendido a uma estrutura financeira mais complexa, que considere não apenas os fluxos e o estoque de capital, mas também os estoques financeiros. Adota-se para tal a metodologia Stock-Flow Consistent, que permite conciliar ambos objetivos. Procura-se mostrar que a endogeneização do gasto autônomo altera alguns resultados de longo prazo do modelo original. Isso significa que, assim como nos modelos neo-kaleckianos, é possível que, no modelo supermultiplicador, mudanças na distribuição de renda, assim como a expansão da demanda via propensões a gastar, tenham efeitos permanentes de crescimento. Os efeitos de crescimento são ainda reavaliados em uma estrutura que incorpora (a) o conflito distributivo entre trabalhadores e capitalistas, o crescimento endógeno da produtividade do trabalho e o emprego; (b) a interação entre duas economias semelhantes sob diferentes regimes cambiais. No capítulo dois, A Supermultiplier Stock-Flow Consistent model: the ''return'' of the paradoxes of thrift and costs in the long run?, o gasto autônomo é endogeneizado (consumo a partir da riqueza) e os paradoxos da poupança e dos custos são avaliados no longo prazo. Os resultados das simulações numéricas indicam que o paradoxo da poupança permanece válido e que uma parcela de lucros mais baixa pode estar associada a taxas mais elevadas de acumulação de capital, embora com taxas de lucro mais baixas. No capítulo três, Conficting-claims and labour market concerns in a Supermultiplier model, o modelo do capítulo dois é estendido para dar conta da dinâmica do mercado de trabalho. A inflação é incorporada no modelo via conflito distributivo entre trabalhadores e capitalistas e o crescimento endógeno da produtividade do trabalho é introduzido, configurando a endogeneização da distribuição de renda. No capítulo quatro, Growth and distribution in a Two-Country Supermultiplier Stock-Flow Consistent model, o modelo do capítulo 1 é estendido para um sistema de dois países com características semelhantes. Os resultados das simulações numéricas indicam que tanto uma redução no mark-up das firmas quanto o aumento na propensão a consumir a partir da renda têm efeito positivo de crescimento sobre as duas economias em ambos os regimes de câmbio, fixo e flutuante. Além disso, se a condição de Marshall-Lerner for válida, a economia que expande sua demanda doméstica ganha relativamente mais do que a economia parceira (aumenta a sua participação no estoque de capital do sistema). O regime de câmbio ainda influencia, além da distribuição de renda, a distribuição de riqueza entre as economias. Por fim, um estímulo coordenado à demanda faz ambas economias crescerem a uma taxa mais elevada em comparação a um choque isolado à demanda em uma das economiasAbstract: The supemultiplier model (Serrano, 1995; Bortis, 1997) has been recently brought to the post-Keynesian debate. In its most recent version, the model combines an autonomous expenditure component, which grows at an exogenously given rate with a Harrodian behaviour of firms (Freitas, 2015; Allain, 2015; Lavoie, 2016). This allows capacity to adjust to demand while capacity utilization rate converges back to a normal level or range. The assumption of an exogenous growth rate for autonomous expenditures rules out, almost per se, the feasibility of permanent growth effects caused by changes in income distribution and induced expenditures (propensities to spend). Besides, these models are mostly flow models which disregard the financial determinants of autonomous expenditures and the implications of stock and flow relations. Based on this, the thesis proposes to evaluate the supermultiplier model results when the original assumption - exogenous autonomous expenditure - is lifted. The thesis still addresses the supermultiplier model features when extended to a more complex financial framework, dealing not only with flows and real capital stock but also with financial stocks, which allows for a conciliation of both aims. The thesis intends to show that making the autonomous expenditure component endogenous changes some long run results of the original model. This means that, as in neo-Kaleckian models, it is possible that in supermultiplier models changes in income distribution, as well as demand expansions through propensities to spend, may have permanent growth effects. Growth effects are also reassessed in a framework which includes (a) conflicting-claims between workers and firms, endogenous productivity growth and employment; (b) the interaction between two similar economies under different exchange rate regimes. In chapter two, A Supermultiplier Stock-Flow Consistent model: the ''return'' of the paradoxes of thrift and costs in the long run?, autonomous expenditures are made endogenous (consumption out of wealth) and the paradoxes of thrift and costs are addressed in the long run. The numerical simulations results suggest that the paradox of thrift holds and that a lower profit share may be associated with a higher accumulation rate, though with lower profit rates. In chapter three, Conflicting-claims and labour market concerns in a Supermultiplier model, the model built in chapter one is extended to take into account the labour market dynamics. Inflation is introduced via conflicting-claims between workers and firms and labour productivity growth is also made endogenous, completing the set for an endogenous income distribution. In chapter four, Growth and distribution in a Two-Country Supermultiplier Stock-Flow Consistent model, the model proposed in chapter one is now extended to a two-country system with similar features. The numerical simulation results suggest that both a reduction in firms' mark-up and an increase in the propensity to consume out of income have positive growth effects on both economies under flexible and fixed exchange rate regimes. In addition to this, if the Marshall-Lerner condition holds, the economy which expands its domestic demand gains relatively more than its partner economy (its share on the system's capital stock will be larger). The exchange rate regime still plays a role on wealth distribution across countries (besides the one on income distribution). At last, coordinated stimuli to demand make both economies grow at a faster pace in comparison to an isolated shock to demand in one of themDoutoradoTeoria EconomicaDoutora em Ciências EconômicasCAPE