Publications

1. Multifractal Formalism from Large Deviations, with E. Verbitskiy and Q. Xiao, Journal of Mathematical Analysis and Applications, 555, no. 2, Paper No. 130139  (2026), https://doi.org/10.1016/j.jmaa.2025.130139.

2. The Eigenfunctions of the Transfer Operator for the Dyson model in a field, Journal of Statistical Physics, 192, 92 (2025), https://doi.org/10.1007/s10955-025-03476-z.

3. Description of the Set of Strictly Regular Quadratic Bistochastic Operators and Examples, Discontinuity, Nonlinearity, and Complexity 10(3) (2021) 425--433, doi:10.5890/DNC.2021.09.006

Preprints

4. Concentration inequalities and Transfer operators for supercritical Dyson models, 2025, Submitted.

5. Gibbs properties of Equilibrium States, with E. Verbitskiy, 2025, Submitted.

6. On an extension of a theorem by Ruelle to long-range potentials, with A. van Enter, R. Fernández, and E. Verbitskiy, 2024, Submitted.

Theses

1. PhD thesis, Gibbs States in Statistical Mechanics and Dynamical Systems.

2. ICTP Diploma thesis, Topological pressure and its relationship with invariant measures.

3. Master's thesis (in Uzbek), Small parametric discrete dynamical systems.