Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 20.09.1969
Keywords: simplex, graph, measure, quadratic stochastic operators, processes, non-degeneracy, completely positive, indecomposability. algorithm, model, method, scheme, program, control, complex system, functioning table.

Subject:

CLASSIFICATION OF THE QUADRATIC STOCHASTIC OPERATORS AND CORRESPONDING TO THEM QUADRATIC STOCHASTIC PROCESSES

ALGORITHMIC CONTROL MODELS FOR COMPLEX SYSTEMS BASED ON ALGEBRA OVER FUNCTION TABLES 1. Classification of the quadratic stochastic operators and corresponding to them quadratic stochastic processes

2. Algorithmic control models for complex systems based on algebra over function tables

Main publications:

1. Normatov I. H., “Principle of independence of continuation of functions multivalued logic from coding”, Journal of Physics, 1210:1 (2019), 012107  
2. Kabulov, A., Normatov, I., Saymanov, I., Baizhumanov, A., “On the Completeness of Classes of Correcting Functions of Heuristic Algorithms. Azerbaijan”, Journal of Mathematics, 15:2 (2025)
3. Normatov, I., Yarashov, I., Toshmatov, S., “Research and modeling of authentication process using functioning table”, KazNU Bulletin. Mathematics, Mechanics, Computer Science Series, 124:4 (2024), 71-85
4. Normatov, I., “Endless Individual Areas of Logic and Beginnings of Arithmetics”, AIP Conference Proceedings, 2781:020008 (2023)
5. Normatov, I., Yarashov, I., Otakhonov, A., Ergashev, B., “Construction of reliable well distribution functions based on the principle of invariance for convenient user access control”, International Conference on Information Science and Communications Technologies, ICISCT 2022, 2022

Publications in Math-Net.Ru

Personal pages:

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Organisations:

• National University of Uzbekistan named after M. Ulugbek, Tashkent