New mixing pattern for neutrinos

We propose a new mixing pattern for neutrinos with a nonzero mixing angle $\theta_{13}$. Under a simple form, it agrees well with current neutrino oscillation data and displays a number of intriguing features including the $\mu$-$\tau$ interchange symmetry $|U_{\mu i}|=|U_{\tau i}|$, $(i=1,2,3)$, the trimaximal mixing |U_{\e 2}|=|U_{\mu 2}|=|U_{\tau 2}|=1/\sqrt{3}, the self-complementarity relation $\theta_1+\theta_3=45\deg$, together with the maximal Dirac CP violation as a prediction.Comment: 4 pages, 1 figure. Final version to appear in PR

Trade Coefficients and the Role of Elasticity in a Spatial CGE Model Based on the Armington Assumption

The Armington Assumption in the context of multi-regional CGE models is commonly interpreted as follows: Same commodities with different origins are imperfect substitutes for each other. In this paper, a static spatial CGE model that is compatible with this assumption and explicitly considers the transport sector and regional price differentials is formulated. Trade coefficients, which are derived endogenously from the optimization behaviors of firms and households, are shown to take the form of a potential function. To investigate how the elasticity of substitutions affects equilibrium solutions, a simpler version of the model that incorporates three regions and two sectors (besides the transport sector) is introduced. Results indicate: (1) if commodities produced in different regions are perfect substitutes, regional economies will be either autarkic or completely symmetric and (2) if they are imperfect substitutes, the impact of elasticity on the price equilibrium system as well as trade coefficients will be nonlinear and sometimes very sensitive.Armington Assumption, Spatial CGE, Elasticity of substitution, Trade coefficient, Econometric model

Application of the Input-Output Decomposition Technique to China\u27s Regional Economies

Structural decomposition techniques based on input-output table have become a widely used tool for analyzing long term economic growth. However, due to limitations of data, such techniques have never been applied to China\u27s regional economies. Fortunately, in 2003, China\u27s Interregional Input-Output Table for 1987 and Multi-regional Input-Output Table for 1997 were published, making decomposition analysis of China\u27s regional economies possible. This paper first estimates the interregional input-output table in constant price by using an alternative approach: the Grid-Search method, and then applies the standard input-output decomposition technique to China\u27s regional economies for 1987-97. Based on the decomposition results, the contributions to output growth of different factors are summarized at the regional and industrial level. Furthermore, interdependence between China\u27s regional economies is measured and explained by aggregating the decomposition factors into the intraregional multiplier-related effect, the feedback-related effect, and the spillover-related effect. Finally, the performance of China\u27s industrial and regional development policies implemented in the 1990s is briefly discussed based on the analytical results of the paper

Galerkin Finite Element Method by Using Bivariate Splines for Parabolic PDEs

A Galerkin finite element method by using bivariate splines (GB method) is proposed for solving parabolic partial differential equations (PPDEs). Bivariate spline proper subspace of $S_4^{2,3}(\Delta_{mn}^{(2)})$ satisfying homogeneous boundary conditions on type-2 triangulations and quadratic B-spline interpolating boundary functions are primarily constructed. PPDEs are solved by the GB method