Investigation of phase transition for lattice models and description of types of the corresponding von Neumann algebras constructed by GNS-repesentation of Gibbs measures of some lattice models. Investigations of Gibbs measures of certain lattice models over the p-adic number field. Investigations of attractors and Siegel disc of certain p-adic dynamical systems. Investigations of ergodic properties of quantum quadratic stochastic processes on von Neumann algebras. p-adic dynamical systems. Study of quantum Markov chains.

PhD; 2012-2015 Selcuk University, Functional Analysis, Konya/Turkey MSc; 2010-2012 Gaziantep University, Applied Mathematics, Gaziantep/Turkey BS; 1992-1996 Black Sea Technical University, Mathematics Teaching, Trabzon/Turkey

1. Mukhamedov F., Dogan M., “On P-Adic Lambda-Model on the Cayley Tree II: Phase Transitions”, Rep. Math. Phys., 75:1 (2015), 25-47
2. Farrukh Mukhamedov, Hasan Akin, Mutlay Dogan, “On chaotic behaviour of the p-adic generalized Ising mapping and its application”, Journal of Difference Equations and Applications, 2017, 17

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