An expanded Bethe–Peierls approximation is used to study the magnetic properties of the magnetic superlattice, which consists of a mixed spin-12 and spin-1 (with a single-ion anisotropy D) alternate ferromagnetic monolayers with antiferromagntic coupling at the interlayers. By using the...

In this paper, a complex contact network is constructed as substrate for cultural diffusion. Agents are partitioned into “clusters”, interpreted as sub-cultural groups. Cultural dissemination works both within the cluster and across clusters. To reflect connection intensity, an extra-cluster...

Finding out statistically significant words in DNA and protein sequences forms the basis for many genetic studies. By applying the maximal entropy principle, we give one systematic way to study the nonrandom occurrence of words in DNA or protein sequences. Through comparison with experimental...

Given a sequence composed of a limited number of characters, we try to “read” it as a “text”. This involves segmenting the sequence into “words”. The difficulty is to distinguish good segmentation from enormous numbers of random ones. Aiming at revealing the nonrandomness of the...

We propose and analyze a random graph model which explains a phenomena in the economic company network in which company may not expand its business at some time due to the limiting of money and capacity. The random graph process is defined as follows: at any time-step t, (i) with probability...