Farrukh Mukhamedov
Uzbek mathematician and professor
From Wikipedia, the free encyclopedia
Farrukh Mukhamedov is an Uzbek mathematician[1][2] and professor in the Department of Mathematical Sciences at United Arab Emirates University.[2]
Farrukh Mukhamedov | |
|---|---|
| Born | Tashkent, Uzbekistan |
| Alma mater | National University of Uzbekistan; Institute of Mathematics, Tashkent |
| Awards | Mathematics Prize of the Academy of Sciences of the Republic of Uzbekistan (1999); TWAS Prize for Young Scientists in Developing Countries (2005); Fellow of The World Academy of Sciences (elected 2022) |
| Scientific career | |
| Fields | Mathematics, mathematical physics, operator theory, dynamical systems, quantum probability |
| Institutions | United Arab Emirates University; International Islamic University Malaysia; University of Aveiro; National University of Uzbekistan |
| Thesis | Markov States and Quadratic Operators Defined on von Neumann Algebras |
In 2005, he received The World Academy of Sciences (TWAS) prize for Young Scientists, and in 2022, he was elected a fellow member of TWAS in the mathematical sciences section[3] and is a corresponding fellow of International Core Academy of Sciences and Humanities.[3]
Education
Mukhamedov obtained an MSc in pure mathematics with distinction from the National University of Uzbekistan and completed his PhD in 1998.[3][4]
In 2005, he defended a DSc (Habilitation) degree, at the National University of Uzbekistan.[3]
Academic career
Mukhamedov worked as a graduate student at the Institute of Mathematics of the Academy of Sciences of Uzbekistan,[4][5] a junior scientific fellow at the same institute, a postdoctoral researcher at the National University of Uzbekistan, an associate professor there, and a senior scientific fellow.[5]
In 2005, Mukhamedov held a postdoctoral position at the University of Aveiro in Portugal.[3][6] He subsequently joined the Faculty of Science at International Islamic University Malaysia, where he was promoted from associate professor to professor.[3] From 2009 to 2015, Mukhamedov was a Junior Associate of the International Centre for Theoretical Physics (ICTP).[3] In 2016, he joined the Department of Mathematical Sciences at the United Arab Emirates University as a professor.[3]
Research
Mukhamedov's research has contributed to several areas of pure mathematics, including quantum probability, ergodic theory, dynamical systems, and p-adic analysis. In quantum probability, he applied methods from statistical mechanics to establish the existence of phase transitions in quantum Markov chains and disproved a conjecture concerning the occurrence of type III₁ factors in systems with non-trivial Hamiltonian interactions. He developed the theory of quantum quadratic operators and related stochastic processes. In p-adic mathematics, Mukhamedov established results in p-adic statistical mechanics, including the study of phase transitions, and contributed to the development of p-adic dynamical systems by proving the existence of chaotic behavior in p-adic Potts models.[3]
Editorial activities
Mukhamedov has served on editorial boards of p-Adic Numbers, Ultrametric Analysis and Applications,[7] Open Journal of Mathematical Analysis,[8] Open Systems & Information Dynamics,[9] and the Uzbek Mathematical Journal.[10]
Honours and fellowship
In 1999, Mukhamedov received the Mathematics Prize of the Academy of Sciences of the Republic of Uzbekistan.[11] In 2005, he received the TWAS Prize for Young Scientists in Developing Countries.[3]
Mukhamedov is a corresponding fellow of the International Core Academy of Sciences and Humanities (CORE Academy).[3] In 2022, He was elected a fellow of The World Academy of Sciences in the mathematical sciences section.[1] He is also a fellow of the Industry Academy of the International Artificial Intelligence Industry Alliance.[12]
Selected publications
- Mukhamedov, Farrukh; Rozikov, Utkir (2004). "On Gibbs measures of p-adic Potts model on the Cayley tree". Indagationes Mathematicae. 15 (1): 85–100. doi:10.1016/S0019-3577(04)90007-9.
- Mukhamedov, Farrukh; Rozikov, Utkir (2004). "On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding von Neumann Algebras". Journal of Statistical Physics. 114 (3–4): 825–848. Bibcode:2004JSP...114..825M. doi:10.1023/B:JOSS.0000012509.10642.83.
- Mukhamedov, Farrukh; Akin, Hasan; Temir, Seyit (2005). "On infinite dimensional quadratic Volterra operators". Journal of Mathematical Analysis and Applications. 310 (2): 533–556. arXiv:math/0510338. Bibcode:2005JMAA..310..533M. doi:10.1016/j.jmaa.2005.02.022.
- Fidaleo, Francesco; Mukhamedov, Farrukh (2007). "Strict weak mixing of some C*-dynamical systems based on free shifts". Journal of Mathematical Analysis and Applications. 336 (1): 180–187. arXiv:math/0612025. Bibcode:2007JMAA..336..180F. doi:10.1016/j.jmaa.2007.02.066.
- Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir (2011). "Quadratic stochastic operators and processes: Results and open problems". Infinite Dimensional Analysis, Quantum Probability and Related Topics. 14 (2): 279–335. doi:10.1142/S0219025711004365.
- Mukhamedov, Farrukh; Ganikhodjaev, Nasir (2015). Quantum Quadratic Operators and Processes. Lecture Notes in Mathematics. Vol. 2133. Springer. doi:10.1007/978-3-319-22837-2. ISBN 978-3-319-22836-5.
- Dhahri, Ameur; Mukhamedov, Farrukh (2019). "Open quantum random walks, quantum Markov chains and recurrence". Reviews in Mathematical Physics. 31 (7) 1950020. arXiv:1608.01065. Bibcode:2019RvMaP..3150020D. doi:10.1142/S0129055X1950020X.
- Mukhamedov, Farrukh; Qaralleh, Izzat; Qaisar, Taimun; Alhaj Hasan, Mahmoud (2023). "Genetic Algebras Associated with ξ(a)-Quadratic Stochastic Operators". Entropy. 25 (6): 934. doi:10.3390/e25060934. PMC 10297585. PMID 37372278.
- Souissi, Abdessatar; Mukhamedov, Farrukh (2024). "Nonlinear Stochastic Operators and Associated Inhomogeneous Entangled Quantum Markov Chains". Journal of Nonlinear Mathematical Physics. 31 (1) 11. Bibcode:2024JNMP...31...11S. doi:10.1007/s44198-024-00172-6.