World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
36
Citations
4142
World Ranking
2693
National Ranking
17

Overview

U. A. Rozikov is affiliated with the Institute of Mathematics in Poland. Their research contributions span multiple fields of mathematics and physics, with a focus on mathematical physics, condensed matter physics, and statistical and nonlinear physics.

Their work covers a range of advanced topics including theoretical and computational physics, stochastic processes and statistical mechanics, advanced mathematical theories, and models related to mathematical and theoretical epidemiology and ecology. In addition, Rozikov has explored mathematical dynamics and fractals, Markov chains and Monte Carlo methods, and advanced topics in algebra.

Key recent papers by Rozikov include:

  • Gibbs measures of Potts model on Cayley trees: A survey and applications, 2021, Reviews in Mathematical Physics
  • Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree, 2022, Theoretical and Mathematical Physics
  • Dynamical Systems of the p-Adic (2, 2)-Rational Functions with Two Fixed Points, 2020, Results in Mathematics
  • Leslie's prey-predator model in discrete time, 2020, International Journal of Biomathematics

Rozikov has published extensively in several scientific venues, notably including:

  • arXiv (Cornell University)
  • Reviews in Mathematical Physics
  • Theoretical and Mathematical Physics
  • Теоретическая и математическая физика
  • International Journal of Biomathematics

Frequent collaborators of Rozikov are:

  • Z.S. Boxonov
  • M. T. Makhammadaliev
  • F. H. Haydarov
  • Р. М. Хакимов
  • N. M. Khatamov

Rozikov has also authored books published by World Scientific, including:

  • Gibbs Measures in Biology and Physics, 2021
  • Gibbs Measures in Machine Learning, forthcoming in 2025

Their scholarly output includes a strong publication record in mathematics, with 79 publications, and physics and astronomy, with 42 publications. This interdisciplinarity reflects their engagement with both computational theory and applied mathematical models in physics and biology.

Best Publications

  • A Hard-Core Model on a Cayley Tree: An Example of a Loss Network

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  • The Potts Model with Countable Set of Spin Values on a Cayley Tree

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  • F-quadratic stochastic operators

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  • Fuzzy transformations and extremality of Gibbs measures for the potts model on a Cayley tree

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  • Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree

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  • A Three State Hard-Core Model on a Cayley Tree

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  • A chain of evolution algebras

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  • Evolution algebra of a bisexual population

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  • Description of weakly periodic Gibbs measures for the isingmodel on a cayley tree

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  • GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE

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  • A New Set of Limiting Gibbs Measures for the Ising Model on a Cayley Tree

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  • On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field

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  • The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex

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  • Gradient Gibbs measures for the SOS model with countable values on a Cayley tree

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  • On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding Von Neumann Algebras II

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  • Description of limit Gibbs measures for λ-models on bethe lattices

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  • On Models with Uncountable Set of Spin Values on a Cayley Tree: Integral Equations

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  • An Introduction to Mathematical Billiards

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  • Evolution algebras generated by Gibbs measures

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  • Description of the Translation-Invariant Splitting Gibbs Measures for the Potts Model on a Cayley Tree

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  • Ocean ecosystem discrete time dynamics generated by ℓ-Volterra operators

    U. A. Rozikov;S. K. Shoyimardonov

  • Leslie’s prey–predator model in discrete time

    U. A. Rozikov;S. K. Shoyimardonov

  • Planktons discrete -time dynamical systems

    U. A. Rozikov;Sobirjon Shoyimardonov;R. Varro

  • Periodic Algebras Generated by Groups

    S. Albeverio;B. A. Omirov;U. A. Rozikov

  • An application of discrete-time SEIR model to the COVID-19 spread

    Rozikov Ua;Shoyimardonov Sk

  • On ocean ecosystem discrete time dynamics generated by $ll$-Volterra operators

    U. A. Rozikov;S.K. Shoyimardonov

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