Fusion of \ade Lattice Models

Fusion hierarchies of \ade face models are constructed. The fused critical $D$, $E$ and elliptic $D$ models yield new solutions of the Yang-Baxter equations with bond variables on the edges of faces in addition to the spin variables on the corners. It is shown directly that the row transfer matrices of the fused models satisfy special functional equations. Intertwiners between the fused \ade models are constructed by fusing the cells that intertwine the elementary face weights. As an example, we calculate explicitly the fused $2\times 2$ face weights of the 3-state Potts model associated with the $D_4$ diagram as well as the fused intertwiner cells for the $A_5$--$D_4$ intertwiner. Remarkably, this $2\times 2$ fusion yields the face weights of both the Ising model and 3-state CSOS models.Comment: 41 page

Intertwiners and \ade Lattice Models

Intertwiners between \ade lattice models are presented and the general theory developed. The intertwiners are discussed at three levels: at the level of the adjacency matrices, at the level of the cell calculus intertwining the face algebras and at the level of the row transfer matrices. A convenient graphical representation of the intertwining cells is introduced. The utility of the intertwining relations in studying the spectra of the \ade models is emphasized. In particular, it is shown that the existence of an intertwiner implies that many eigenvalues of the \ade row transfer matrices are exactly in common for a finite system and, consequently, that the corresponding central charges and scaling dimensions can be identified.Comment: 48 pages, Two postscript files included

The Commutative Effect and Casuality of Openness and Indigenous Factors Among World Economies

The paper studies the commutative and causality relationship between economic openness and indigenous factors. The construction of the Openness Index and the Indigenous Index provides a measure on the extent of openness and indigenous development among world economies. The two indices are used to study their commutative effect and causality. The empirical findings show that there is a positive and significant static effect of openness on indigenous factors and vice versa; however the latter is larger. There are bi-directional dynamic causality relationships between openness and indigenous factors. Indigenous factors help to forecast openness factors and vice versa.Openness, indigeneity, panel data model, commutative effect, causality

Causality between Openness and Indigenous Factors among World Economies

The paper studies the causality relationship between economic openness and indigenous factors. The construction of the Openness Index and the Indigenous Index provides a measure on the extent of openness and indigenous development among world economies. The two indices are used to study their causality. The empirical findings show that there are bi-directional dynamic causality relationships between openness and indigenous factors. Indigenous factors help to forecast openness factors and vice versa.Openness, indigeneity, panel data model, causality test

Inequality and development: Evidence from semiparametric estimation with panel data

Evidences from nonparametric and semiparametric unbalanced panel data models with fixed effects show that Kuznet’s inverted-U relationship is confirmed when economic development reaches a threshold. The model tests justify semiparametric specification. The integrated net contribution of control variables to inequality reduction is significant.Kuznet’s inverted-U, Semiparametric model, Unbalanced panel data

An Ising model in a magnetic field with a boundary

We obtain the diagonal reflection matrices for a recently introduced family of dilute ${\rm A}_L$ lattice models in which the ${\rm A}_3$ model can be viewed as an Ising model in a magnetic field. We calculate the surface free energy from the crossing-unitarity relation and thus directly obtain the critical magnetic surface exponent $\delta_s$ for $L$ odd and surface specific heat exponent for $L$ even in each of the various regimes. For $L=3$ in the appropriate regime we obtain the Ising exponent $\delta_s = -\frac{15}{7}$, which is the first determination of this exponent without the use of scaling relations.Comment: 7 pages, LaTe

The commutative effect and causality of openness and indigenous factors among world economies

The paper studies the commutative and causality relationship between economic openness and indigenous factors. The construction of the Openness Index and the Indigenous Index provides a measure on the extent of openness and indigenous development among world economies. The two indices are used to study their commutative effect and causality. The empirical findings show that there is a positive and significant static effect of openness on indigenous factors and vice versa; however the latter is larger. There are bi-directional dynamic causality relationships between openness and indigenous factors. Indigenous factors help to forecast openness factors and vice versa

Information Filtering on Coupled Social Networks

In this paper, based on the coupled social networks (CSN), we propose a hybrid algorithm to nonlinearly integrate both social and behavior information of online users. Filtering algorithm based on the coupled social networks, which considers the effects of both social influence and personalized preference. Experimental results on two real datasets, \emph{Epinions} and \emph{Friendfeed}, show that hybrid pattern can not only provide more accurate recommendations, but also can enlarge the recommendation coverage while adopting global metric. Further empirical analyses demonstrate that the mutual reinforcement and rich-club phenomenon can also be found in coupled social networks where the identical individuals occupy the core position of the online system. This work may shed some light on the in-depth understanding structure and function of coupled social networks