Publications & preprints.

@article{bianchi-dinh-rakhimov-2026,
  author = {Fabrizio Bianchi and Tien-Cuong Dinh and Karim Rakhimov},
  title = {{H{\"o}lder continuity and laminarity of the Green currents for H{\'e}non-like maps}},
  year = {2026},
  journal = {Journal of the Institute of Mathematics of Jussieu},
  volume = {25},
  number = {2},
  pages = {1363--1392},
  doi = {10.1017/S1474748025101588},
  eprint = {2407.01984},
  archivePrefix = {arXiv}
}

@article{akramov-rakhimov-2026,
  author = {Nurali Akramov and Karim Rakhimov},
  title = {{Capacity Dimension of the Brjuno Set in $\mathbb{C}^{n}$}},
  year = {2026},
  journal = {Complex Analysis and Operator Theory},
  volume = {20},
  number = {5},
  doi = {10.1007/s11785-026-01970-0},
  eid = {120},
  eprint = {2505.18801},
  archivePrefix = {arXiv}
}

@article{abate-rakhimov-2026,
  author = {Marco Abate and Karim Rakhimov},
  title = {{Dynamics of Fuchsian meromorphic connections with real periods}},
  year = {2026},
  journal = {Annals of Global Analysis and Geometry},
  volume = {69},
  doi = {10.1007/s10455-026-10033-8},
  eid = {9},
  eprint = {2406.13353},
  archivePrefix = {arXiv}
}

@article{rakhimov-flat-2025,
  author = {Karim Rakhimov},
  title = {{Flat structure of meromorphic connections on Riemann surfaces}},
  year = {2025},
  journal = {Journal of Geometric Analysis},
  volume = {35},
  doi = {10.1007/s12220-025-02190-2},
  eid = {368},
  eprint = {2011.04901},
  archivePrefix = {arXiv}
}

@article{bazarbaev-bianchi-rakhimov-2025,
  author = {Sardor Bazarbaev and Fabrizio Bianchi and Karim Rakhimov},
  title = {{On the support of measures of large entropy for polynomial-like maps}},
  year = {2025},
  journal = {Analysis and Mathematical Physics},
  volume = {15},
  doi = {10.1007/s13324-025-01071-9},
  eid = {69}
}

@article{kuldoshev-rakhimov-2025,
  author = {Kobiljon Kuldoshev and Karim Rakhimov},
  title = {{On the H{\"o}lder continuity of weighted m-extremal functions}},
  year = {2025},
  journal = {Journal of Siberian Federal University. Mathematics \& Physics},
  volume = {18},
  number = {6},
  pages = {809--818},
  url = {https://www.mathnet.ru/eng/jsfu1295}
}

@article{rakhimov-kuldoshev-2025,
  author = {Karim Rakhimov and Kobiljon Kuldoshev},
  title = {{H{\"o}lder continuity of a weighted m-Green function and weighted m-subharmonic measure}},
  year = {2025},
  journal = {Reports of the Academy of Sciences of the Republic of Uzbekistan},
  number = {5},
  pages = {21--25},
  url = {https://storage.academy.uz/source/1/journals/%D0%94%D0%90%D0%9D-%E2%84%965-2025-%D1%81%D0%BE%D0%B4%D0%B5%D1%80%D0%B6%D0%B0%D0%BD%D0%B8%D0%B5%2C%20%D0%B0%D0%BD%D0%BD%D0%BE%D1%82%D0%B0%D1%86%D0%B8%D0%B8.pdf}
}

@article{rakhimov-akramov-2025,
  author = {Karim Rakhimov and Nurali Akramov},
  title = {{On the capacity dimension of non-linearizability loci in $\mathbb{C}^{n}$}},
  year = {2025},
  journal = {Reports of the Academy of Sciences of the Republic of Uzbekistan},
  number = {6}
}

@article{bianchi-dinh-rakhimov-2024,
  author = {Fabrizio Bianchi and Tien-Cuong Dinh and Karim Rakhimov},
  title = {{Monotonicity of dynamical degrees for H{\'e}non-like and polynomial-like maps}},
  year = {2024},
  journal = {Transactions of the American Mathematical Society},
  volume = {377},
  number = {9},
  pages = {6595--6618},
  doi = {10.1090/tran/9225},
  eprint = {2307.10665},
  archivePrefix = {arXiv}
}

@article{bianchi-rakhimov-2024,
  author = {Fabrizio Bianchi and Karim Rakhimov},
  title = {{Strong probabilistic stability in holomorphic families of endomorphisms of $\mathbb{P}^{k}(\mathbb{C})$ and polynomial-like maps}},
  year = {2024},
  journal = {International Mathematics Research Notices},
  volume = {2024},
  number = {12},
  pages = {9875--9892},
  doi = {10.1093/imrn/rnae081}
}

@article{rakhimov-shopulatov-2022,
  author = {Karim Rakhimov and Shomurod Shopulatov},
  title = {{A mean value criterion for plurisubharmonic functions}},
  year = {2022},
  journal = {Complex Variables and Elliptic Equations},
  volume = {67},
  number = {12},
  pages = {2866--2877},
  doi = {10.1080/17476933.2021.1954623},
  eprint = {2105.11001},
  archivePrefix = {arXiv}
}

@incollection{rakhimov-2016,
  author = {Karim Rakhimov},
  title = {{Capacity dimension of the Perez--Marco set}},
  year = {2016},
  booktitle = {Topics in Several Complex Variables},
  series = {Contemporary Mathematics},
  publisher = {American Mathematical Society},
  volume = {662},
  pages = {131--137},
  doi = {10.1090/conm/662/13323}
}

@article{sadullaev-rakhimov-2015,
  author = {Azimbay Sadullaev and Karim Rakhimov},
  title = {{Capacity dimension of the Brjuno set}},
  year = {2015},
  journal = {Indiana University Mathematics Journal},
  volume = {64},
  number = {6},
  pages = {1829--1834},
  doi = {10.1512/iumj.2015.64.5690}
}

@article{sadullaev-imomkulov-rakhimov-2014,
  author = {A. S. Sadullaev and S. A. Imomkulov and K. Kh. Rakhimov},
  title = {{Bounded subharmonic functions possess the Lebesgue property at each point}},
  year = {2014},
  journal = {Mathematical Notes},
  volume = {96},
  number = {6},
  pages = {992--995},
  doi = {10.1134/S0001434614110388}
}

@article{rakhimov-laplacian-2012,
  author = {Karim Rakhimov},
  title = {{$\mathbb{C}^{n}$-capacity defined with the Laplacian}},
  year = {2012},
  journal = {Uzbek Mathematical Journal},
  number = {2},
  pages = {99--105},
  url = {https://sites.google.com/view/karimrakhimov/research},
  note = {In Russian}
}

@article{rakhimov-capacity-2012,
  author = {Karim Rakhimov},
  title = {{$\mathbb{C}^{n}$-capacity based on plurisubharmonic functions}},
  year = {2012},
  journal = {Reports of the Academy of Sciences of the Republic of Uzbekistan},
  number = {4},
  pages = {6--9},
  url = {https://sites.google.com/view/karimrakhimov/research},
  note = {In Russian}
}

@unpublished{brevard-rakhimov,
  author = {Maxence Br{\'e}vard and Karim Rakhimov},
  title = {{Propagation of equilibrium states in stable families of endomorphisms of $\mathbb{P}^{k}(\mathbb{C})$}},
  year = {2024},
  note = {To appear in Rivista di Matematica della Università di Parma},
  eprint = {2405.12033},
  archivePrefix = {arXiv},
  url = {https://www.rivmat.unipr.it/forthcoming.html}
}

@unpublished{oltiboev-rakhimov-ruziboev-2026,
  author = {Davrbek Oltiboev and Karim Rakhimov and Marks Ruziboev},
  title = {{Linear response for random systems with a cusp}},
  year = {2026},
  eprint = {2608.26969},
  archivePrefix = {arXiv},
  note = {Preprint}
}

@unpublished{bazarbaev-rakhimov-2026,
  author = {Sardor Bazarbaev and Karim Rakhimov},
  title = {{Exact logarithmic Hausdorff and capacity exponents of the non-Brjuno set}},
  year = {2026},
  eprint = {2608.29779},
  archivePrefix = {arXiv},
  note = {Preprint}
}

@unpublished{bianchi-boymurodov-rakhimov-2026,
  author = {Fabrizio Bianchi and Sobir Boymurodov and Karim Rakhimov},
  title = {{On the support of measures of large entropy for automorphisms of K{\"a}hler manifolds}},
  year = {2026},
  eprint = {2606.08746},
  archivePrefix = {arXiv},
  note = {Preprint}
}