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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Koshelev, V.N. Stasevich, S.I. |
| Copyright Year | 1997 |
| Description | Author affiliation: Council for Cybern., Acad. of Sci., Moscow, Russia (Koshelev, V.N.) |
| Abstract | We consider a plane rectangular lattice formed by the intersection of L verticals with M horizontals of lengths M+1 and L+1 respectively. Thus the lattice consists of LM nodes and 2LM+L+M branches. The branches are assumed to be binary variables interacting through the lattice nodes where a (0,1)-interaction matrix B=(b/sub i2,j2/), b/spl isin/{0,1}, i/sup 2/,j/sup 2//spl isin/{0,1}/sup 2/ is placed. Let /spl Phi/(L,M,B) be a binary Markov LxM-field generated by B. We are interested in finding the number of all field realizations |/spl Phi/(L,M,B)| and presenting it as a function of the field parameters L,M,B. In the paper we develop a matrix technique similar to that which governs the discrete Markov chains. The matrix technique for two- (and more) dimensional lattices depends on the topology of the lattice; therefore the main feature of the problem is finding an adequate matrix description of the lattice topology. We analyze the problem in two modifications: in the plane modification described above and in a described cylindrical modification. |
| File Size | 103573 |
| File Format | |
| ISBN | 0780339568 |
| DOI | 10.1109/ISIT.1997.613312 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1997-06-29 |
| Publisher Place | Germany |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Lattices Topology Councils Cybernetics Power generation Information rates Eigenvalues and eigenfunctions Equations Upper bound |
| Content Type | Text |
| Resource Type | Article |
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