Assistant Professor of the Department of General Problems of Control, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

E-mail:

Keywords: selections from multi-valued mappings, approximation by generalised rational functions, pseudodimension.

### Publications (recent):

*2023*

→ A. R. Alimov, K. S. Ryutin, I. G. Tsar'kov, "Existence, uniqueness, and stability of best and near-best approximations", Uspekhi Mat. Nauk, 78:3 (471) (2023), 3–52, DOI.

*2022*

→ Yu.V. Malykhin, K.S. Ryutin, T.I. Zaitseva, "Recovery of regular ridge functions on the ball", Constr Approx (2022), DOI, arXiv.

*2021*

→ A.S. Rubtsova, K.S. Ryutin, V.N. Temlyakov, "On the fixed volume discrepancy of the Korobov point sets", Sb. Math., 212:8 (2021), 1180–1192, DOI, arXiv.

→ T.I. Zaitseva, Yu.V. Malykhin, K.S. Ryutin, "On Recovery of Regular Ridge Functions", Math. Notes, 109:2 (2021), 307–311, DOI.

*2020*

→ K.S. Ryutin, "Integer Sampling Matrices with Small Entries Ensuring Vector Recovery", Math. Notes, 107:2 (2020), 363–366, DOI.

*2019*

→ K.S. Ryutin, "Recovery of sparse integer vectors from linear measurements", Russian Math. Surveys, 74:6 (2019), 1129–1131, DOI, arXiv.

*2018*

→ B.S. Kashin, Yu.V. Malykhin, K.S. Ryutin, "Kolmogorov width and approximate rank", Proc. Steklov Inst. Math., 303 (2018), 140–153, DOI.

*2017*

→ Yu.V. Malykhin, K.S. Ryutin, "The Product of Octahedra is Badly Approximated in the \(\ell_{2,1}\)-Metric", Math. Notes, 101:1 (2017), 94–99, DOI, arXiv.