N. Ganikhodjaev

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20052022

most citedPhase diagram of the three states Potts model with next nearest neighbor interactions on the Bethe lattice

38 citations · 79 across the 15 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math.DS2012★ 1 cited

Ergodic Volterra Quadratic Transformations of Symplex

Nasir Ganikhodjaev, Dmitriy Zanin

In the paper a Volterra quadratic stochastic operators of three dimensional simplex into itself is considered.The full description of ergodic properties such operators is given.

math.DS2012

Hamiltonian Cycle on the Set of Genotypes and Non-Ergodic Quadratic Stochastic Operators

Nasir N. Ganikhodjaev, Uygun U. Jamilov, Ramazon T. Mukhitdinov

On the set of genotypes $Φ = {1, ..., m}$ we introduce a binary relation generated by Volterra quadratic stochastic operator $V$ on $(m - 1)$ dimensional simplex $S^{m - 1}$ and prove th…