Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
2.01.1975
Phone: +6017 942 68 00
E-mail: , ,
Keywords: dynamical systems,
trajectory theory of dinamical systems,
nonlinear operators and processes,
random walks in random environment,
$p$-adic analysis,
the Gibbs measures,
lattice models of statistical mechanics,
ergodic averages,
von Neumann algebras,
quantum lattice models,
operator theory,
quantun chaos.
UDC: 517.98, 517.987, 517.998, 517.958, 519.217, 519.248, 530.1, 519.21, 531.19
MSC: 28d05, 28d15, 22d20, 22d25, 46l35, 60g99, 60b15, 82b20, 92b05, 97b10, 37a45, 47a35, 47a99
Subject:
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.
Investigations of ergodic theorems for $C^*$-dynamical systems and noncommutative ergodic theory.
Study of quantum Markov chains.
Main publications:
Accardi L., Fidaleo F., Mukhamedov, F., “Markov states and chains on the CAR algebra.”, Infinite Dimensional Analysism, Quantum Probab. Related Topics, 10:2 (2007), 165-183
Khrennikov A.Yu., Mukhamedov F.M., Mendes J.F.F., “On
$p$-adic Gibbs measures of countable state Potts model on the Cayley
tree,”, Nonlinearity, 20 (2007), 2923-2937
Mukhamedov, F. Akin H., Temir S., “On infinite dimensional
quadratic Volterra operators,”, Jour. Math. Anal. Appl., 310 (2005), 533-556
Fidaleo, F., Mukhamedov, F., “Strict weak mixing of some
$C^*$–dynamical systems based on free shifts,”, Jour. Math. Anal. Appl., 336 (2007), 18-187
