2 articles for “Lattice-Group”

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Research ArticleOpen accessPhrase in the titleOn the Construction and Properties of Lattice-Group Structure in Cartesian Product SpacesDavronbek Malikov, Susmit BagchiThe lattice theory and group algebra have several applications in computing sciences as well as physical sciences. The concept of lattice-group structure is an interesting hybrid algebraic structure having potential applications. In this paper, the algebraic construction of lattice-group structure is formulated and associated algebraic properties are established. The proposed construction considers Cartesian product spaces. The concept of two-dimensional monoid … …Journal of Computer Science, Vol. 16, Issue 4 · 3 Apr 2020 · 7,834 accessesView PDF Cite

Research ArticleOpen accessIn the abstractConvergence of Renormalization Group Transformations of Gibbs Random FieldFarida Kachapova, Ilias KachapovStatistical mechanics describes interaction between particles of a physical system. Particle properties of the system can be modelled with a random field on a lattice and studied at different distance scales using renormalization group transformation. Here we consider a thermodynamic limit of a lattice model with weak interaction and we use semi-invariants to prove that random fields transformed by renormalization … …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 27 Jul 2016 · 7,012 accessesView PDF Cite