En / Ru

Malykhin Yuri Viatcheslavovich

Steklov Institute of Mathematics (RAS)


E-mail:


Website: mathnet


Keywords: VC-dimension, Kolmogorov widths, lower bounds in approximation theory.


Publications (recent):


2023

→ Yu. V. Malykhin, E. V. Shchepin, "Search of fractal space-filling curves with minimal dilation", Discrete Comput. Geom., 70 (2023), 189–213, DOI, arXiv.


2022

→ Yu. V. Malykhin, "A complete description of the relative widths of Sobolev classes in the uniform metric", Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022), 137–142, DOI.

→ Yu. V. Malykhin, E. V. Shchepin, "Search of fractal space-filling curves with minimal dilation", Discrete Comput. Geom., 2022, 1–35, DOI, arXiv.

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

→ Yu. V. Malykhin, "Matrix and tensor rigidity and \(L_p\)-approximation", J. Complexity, 2022, 1–13, DOI, arXiv.


2021

→ Yu. V. Malykhin, "Kolmogorov Widths of the Besov Classes \(B_{1,1}^\theta\) and Products of Octahedra", Proc. Steklov Inst. Math., 312 (2021), 215–225, 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

→ Yu. V. Malykhin, E. V. Shchepin, "Minimal self-similar Peano curve of genus \(5×5\)", Dokl. RAN. Math. Inf. Proc. upr., 491:1 (2020), 68–72, DOI.


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.

→ Yu. V. Malykhin, E. V. Shchepin, "Chain development of metric compacts", Topology Appl., 221 (2017), 624–629 , DOI, arXiv.

→ E. S. Belkina, Y. V. Malykhin, "Fourier coefficients of continuous functions with respect to localized Haar system", Issues Anal., 6(24):1 (2017), 11–18, DOI.