BIOGRAPHY
I got my MSc in Pure Mathematics from National University of Uzbekistan in 1996. Then I did my PhD degree at Institute of Mathematics (Tashkent), in 1998. In 1999-2005 I worked at National University of Uzbekistan as an Associate Professor. In 2005, I successfully defended my Doctor of Science degree (Habilitation) at the same University. From 2005-2007 I was a PosDoc at University of Aveiro (Portugal). Then I joint Faculty of Science, International Islamic University Malaysia at the rank Associate Professor, and I have been promoted to the Rank Professor in 2012. In 2016 I joined the department of Mathematical Sciences at the UAE University at the rank of Professor.
Moreover, I was a grantee for several international Congresses for Mathematicians. During 2009-2015 I was a Junior Associate at the Abdus Salam International Centre for Theoretical Physics. My research interests relate to operator theory, dynamical systems, non-commutative ergodic theory, p-adic analysis etc. I have published more than 260 papers, and 7 books and edited books (one is published by Springer). I supervised several PhD and Master students. In 2022, I have been elected as a Fellow Member of The World Academy of Sciences (TWAS). My h-index s 25 (Scopus).
EDUCATION
-
Doctorate Degree, Doctor of Sciences in Physics and Mathemetics, Mathematics, National Uni. of Uzbekistan, 2005
RESEARCH AREAS
- Operator theory
- Functional Analysis
- Quantum Statistical physics
- p-adic statistical physics and p-adic dynamical systems
- Mathematical Genetics and population dynamics
- Non-commutative ergodic theory
RECENT PUBLICATIONS
-
(2017). "Stability and monotonicity of Lotka-Volterra type operators". Co-Authors: M. Saburov. Springer/ Qualitative Theory of Dynamical Systems. 16. 19
-
(2017). "Gibbs measures and free energies of Ising-Vannimenus Model on the Cayley tree ". Co-Authors: Hasan Akin, Otabek Khakimov. Inst of Phys/Journal of Statistical Mechanics: Theory and Experiment . 2017.
-
(2016). "Spectral decomposition of self-adjoint cyclically compact operators andpartial integral equations". Co-Authors: K.Kudayberganov. Springer/Acta Mathematica Hungarica. 149. 9
-
(2016). "Phase transitions for Quantum Markov Chains associated with Ising type models on a Cayley tree". Co-Authors: A. Barhoumi, A. Souissi
. Springer/Journal of Statistical Physics. 163. 23
-
(2016). "Phase transition and chaos: p-adic Potts model on a Cayley tree". Co-Authors: O. Khakimov
. Elsevier/ Chaos, Solitons & Fractals. 87. 7
-
(2016). "Translation-invariant p-adic quasi Gibbs measures for the Ising-Vannimenus model on a Cayley tree". Co-Authors: M. Saburov, O.Khakimov. Springer/Theoritical and Mathematical Physics. 187. 20
-
(2016). "Strong and weak ergodicity of nonhomogeneous Markov chains de ned on ordered Banach spaces with a base". Co-Authors: . Springer/Positivity. 20. 19
-
(2015). "On a multi-parametric generalization of the uniform zero-two law in L1-spaces". Co-Authors: . Korean Math. Soc/ Bulletin of the Korean Mathematical Society . 52. 8
-
(2015). "On pure quasi-quantum quadratic operators of M2(C) II". Co-Authors: . World Scientific/Open Systems & Information Dynamics. 22. 20
-
(2015). "Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base ". Co-Authors: . Springer/Acta Mathematica Hungarica. 147. 30
