28 citations · 134 across the 17 of their papers we have counts for
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math.DS2015
On unconventional limit sets of contractive functions on
Farrukh Mukhamedov, Otabek Khakimov
In the present paper, we are going to study metric properties of unconventional limit set of a semigroup generated by contractive functions on the unit ball…
math.DS2015★ 27 cited
On -adic Ising-Vannimenus model on an arbitrary order Cayley tree
Farrukh Mukhamedov, Mansoor Saburov, Otabek Khakimov
In this paper, we continue an investigation of the -adic Ising-Vannimenus model on the Cayley tree of an arbitrary order ). We prove the existence of -adic quas…
math-ph2015
Gibbs measures and free energies of the Ising-Vannimenus Model on the Cayley tree
Farrukh Mukhamedov, Hasan Akin
In this paper, we consider Ising-Vannimenus model on a Cayley tree for order two with competing nearest-neighbor, prolonged next-nearest neighbor interactions. We stress that the m…