Based on this ab-initio modelling method, we study some phenomenons in molecular electronics which include conductance-length dependence and rectifying of molecular diodes.

In order to make the relationships between sub-image′s matching probability and its correlation length and terrain entropy more monotonous,cross-correlation instead of auto-correlation was employed to calculate sub-image′s correlation length and standardization of the sub-image′s mean was introduced to calculate its terrain entropy.

The generalized longcorrelation(GLC) model, which can be used to synthesize more kinds of visible texture than the Markov random field(MRF) model, is a model introducing the parameter of correlation length based on the MRF.

As an example, we study the characteristics of seismological precursors (seismic spatial correlation length and coda Q_c) associated with the earthquake (M_S=6.

By changing statistic variables:autocorrelation length,mean,variance and ambiguity,we constructed mixed random interstitial medium model of different scale,multi-scale 3-D random medium model,and complex 3-D random medium model.

This paper constituted the weighted world trade network by assigning the magnitudes of trade flows to the edges of the network,and studied the structural characteristics of weighted network from four perspectives: relations of node strength and degree,edge weight disparity,clustering and node degree correlations.

This paper applies the complex network method to study the evolving characteristics of world trade networks′ degree distribution,clustering,degree correlations and reciprocity from year 1950 to 2000.