Local Quark-Hadron Duality and Magnetic Form Factors of Bound Proton

We discuss the consequence of local duality for elastic scattering, and derive a model-independent equation between structure functions at x～1 and elastic electromagnetic form factors. Then the electromagnetic form factors of proton are discussed using the quark-hadro.n duality theory. We also debate the form factor of proton in a bound state.It may be an effective approach to study the form factor of proton in media.     

Sequential Lagrangian Conditions for Convex Programs with Applications to Semidefinite Programming

In this paper it is shown that, in the absence of any regularity condition, sequential Lagrangian optimality conditions as well as a sequential duality results hold for abstract convex programs. The significance of the results is that they yield the standard optimality and duality results for convex programs under a simple closed-cone condition that is much weaker than the well-known constraint qualifications. As an application, a sequential Lagrangian duality, saddle-point conditions, and stability results are derived for convex semidefinite programs.The authors are grateful to the referee and Professor Franco Giannessi for valuable comments and constructive suggestions which have contributed to the final preparation of the paper.     

Random-cluster representation of the ashkin-teller model

We show that a class of spin models, containing the Ashkin-Teller model, admits a generalized random-cluster (GRC) representation. Moreover, we show that basic properties of the usual representation, such as FKG inequalities and comparison inequalities, still hold for this generalized random-cluster model. Some elementary consequences are given. We also consider the duality transformations in the spin representation and in the GRC model and show that they commute.     

从Mott绝缘体到高温超导体:自旋磁性与超导电性的互偶关系

作者最近的一项理论工作对高温超导体作为一种掺杂Mott绝缘体进行了新的探索 ,得到一个长波低能极限的有效理论 ,强调了自旋反铁磁性和超导电性之间的拓扑互偶关系 .这个理论能够为一大类具有本质性和挑战性的高温超导现象提供简明的解释 ,给出掺杂Mott绝缘体的超导电性的“指纹”特征 ,并给出若干有趣的理论预言 .     

N = 1 super quantum chromo dynamics and fractional branes

In this talk we show how to get the one-loop beta function and the chiral anomaly ofN = 1 super QCD from a stack of fractionalN D3-branes localized inside the world-volume of 2M fractionalD7-branes in the orbifoldC ³/(Z ₂ ×Z ₂). They are obtained by analyzing the classical supergravity background generated by such a brane configuration, in the spirit of the gauge/gravity correspondence.     

Profit,Directional Distance Functions,and Nerlovian Efficiency

The directional technology distance function is introduced, given an interpretation as a min-max, and compared with other functional representations of the technology including the Shephard input and output distance functions and the McFadden gauge function. A dual correspondence is developed between the directional technology distance function and the profit function, and it is shown that all previous dual correspondences are special cases of this correspondence. We then show how Nerlovian (profit-based) efficiency measures can be computed using the directional technology distance function.     

ASYMPTOTIC BEHMIOUR IN A REACTION-DIFFUSION SYSTEM

1IntroductionInrecentyearslinordertoremovethecontalltinantsillundergroundwater,lllanyscielltistspaymoreandmoreattentiontothewayofmicroorganislllandsetupthefollowillRIn.d.l[1]whereSrepresentsthemasscollcentratiolloftheprimarysubstrate,tistillle,l):istheaveragelineargrollndwatervelocity,D;isthehydrodynamicdispersiollcoefficient,Aisthelllassconcentrationoftheelectronacceptor,Msisthemicrobialmassconcentratiollillsolutioll,Mtisthetotalactivendcrobialbiomassconcentrationalld7'istilefirstordernlicr…     

Dual Convergences of Iteration Processes for Nonexpansive Mappings in Banach Spaces

In this paper we establish a dual weak convergence theorem for the Ishikawa iteration process for nonexpansive mappings in a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, and then apply this result to study the problem of the weak convergence of the iteration process.     

Canonical Duality Theory and Solutions to Constrained Nonconvex Quadratic Programming

This paper presents a perfect duality theory and a complete set of solutions to nonconvex quadratic programming problems subjected to inequality constraints. By use of the canonical dual transformation developed recently, a canonical dual problem is formulated, which is perfectly dual to the primal problem in the sense that they have the same set of KKT points. It is proved that the KKT points depend on the index of the Hessian matrix of the total cost function. The global and local extrema of the nonconvex quadratic function can be identified by the triality theory [11]. Results show that if the global extrema of the nonconvex quadratic function are located on the boundary of the primal feasible space, the dual solutions should be interior points of the dual feasible set, which can be solved by deterministic methods. Certain nonconvex quadratic programming problems in {\open {R}}^{n} can be converted into a dual problem with only one variable. It turns out that a complete set of solutions for quadratic programming over a sphere is obtained as a by-product. Several examples are illustrated.     

球面Sn+p(c)中子流形的拓扑

研究了球面Sn+p(c)子流形Mn的Pinching定理,证明了当s＜2√n-1c时,Mn(n＞3)与n维球面同胚.