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math-ph2017★ 21 cited
Gibbs measures and free energies of Ising-Vannimenus Model on the Cayley tree
Farrukh Mukhamedov, Hasan Akin, Otabek Khakimov
In this paper, we consider the Ising-Vannimenus model on a Cayley tree for order two with competing nearest-neighbor and prolonged next-nearest neighbor interactions. We stress tha…
math.FA2017★ 3 cited
Hypercyclic and supercyclic linear operators on non-Archimedean vector spaces
Farrukh Mukhamedov, Otabek Khakimov
A main objective of the present paper is to develop the theory of hypercyclicity and supercyclicity of linear operators on topological vector space over non-Archimedean valued fiel…