Weight function for the quantum affine algebra Uq(sl^3)U_q(\hat{sl}_3)

We give a precise expression for the universal weight function of the quantum affine algebra $U_q(\hat{sl}_3)$. The calculations use the technique of projecting products of Drinfeld currents on the intersections of Borel subalgebras.Comment: 28 page

Optimal Currency Composition for China’s Foreign Reserves: a Copula Approach

This paper investigates the optimal currency composition for a country's foreign reserves. In the context of China, we examine the asymmetric, fat-tail and complex dependence structure in distributions of currency returns. A skewed, fat-tailed and pair-copula construction is then built to capture features of higher moments. In a D-vine copula approach, we show that under the disappointment aversion effect, the central bank in our model can achieve sizeable gains in expected economic value from switching from the mean-variance to copula modelling. We find that this approach will lead to an optimal currency composition that allows China to have more space for international currency diversification while maintaining the leading position of the US dollar in the currency shares of China's reserves

An executable service composition code automatic creation tool based on Petri net model

For Web services composition problem, this paper proposes an executable code creation algorithm to model Web services composition based on Petri net model, and develops an executable composition code automatic creation tool. This tool can achieve the automatic creation process from composition model to executable code, and more meaningfully makes it possible to analyze and validate composition process logically. Finally, experiment results have proven that the tool of this paper is feasible.This work is partially supported by National Natural Science Foundation of China under Grant No. 61173042 and 61105047, National Basic Research Program of P. R. China (973 Program) under Grant No. 2010CB328101, Program for New Century Excellent Talents in University under Grant No. NCET-10-0598, \Shu Guang" Project supported by Shanghai Municipal Education Commission and Shanghai Education Development Foundation under Grant No. 10SG23 and Shanghai Rising- Star Program under Grant No. 12QH1402300, Hong Kong, Macao and Taiwan Science and Technology Cooperation Program of China No. 2013DFM10100