→ Leading researcher of the laboratory of computational methods, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

→ Leading specialist of the IT department, Steklov Institute of Mathematics, Russian Academy of Sciences

E-mail:

Websites:

Publications (recent):

2024

→ A. R. Alimov, "Balayage theorems for connectedness problems in uniformly convex spaces", Proc. of Institute of mathematics and mechanics, 50:1 (2024), 53–61, DOI.

→ A. R. Alimov, I. G. Tsar'kov, "Classical concepts of approximation theory in asymmetric CLUR-spaces", Math. Notes, 116:3 (2024), 408–420, DOI.

→ A. R. Alimov, I. G. Tsar'kov, "Chebyshev sets that are unions of planes", Uspekhi Mat. Nauk, 79:2(476) (2024), 183–184, DOI.

→ A. R. Alimov, I. G. Tsar'kov, "Chebyshev unions of planes, and their approximative and geometric properties", J. Approx. Theory, 298 (2024), 106009, 12 pp, DOI.

→ A. R. Alimov, I. G. Tsa'rkov, "Connectedness and approximative properties of sets in asymmetric spaces", Filomat, 38:9 (2024), 3243–3259, DOI.

2023

→ A. R. Alimov, "Approximative solar properties of sets and local geometry of the unit sphere", Lobachevskii Journal of Mathematics, 44:12 (2023), 5142–5148, DOI.

→ A. R. Alimov, "Strict Protosuns in Asymmetric Spaces of Continuous Functions", Results in Mathematics, 78:3 (2023), 95, DOI.

→ A. R. Alimov, "On local properties of spaces implying monotone path-connectedness of suns", The Journal of Analysis, 2023, 1-9, DOI.

→ A. R. Alimov, I. G. Tsar'kov, "Modern geometric approximation theory", OntoPrint, Moscow, 2023, 425 pp.

→ 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.

→ A. R. Alimov, "Universality theorems for asymmetric spaces", Infinite Dimensional Analysis, Quantum Probability and Related Topics, 26 (2023), 2250017, DOI.

→ A. R. Alimov, I. G. Tsar'kov, "Max-solar properties of sets in normed and asymmetrically normed spaces", J. Convex Anal., 30 (2023), 159–174, link.

2022

→ A. R Alimov, "Monotone path-connectedness of strict suns", Lobachevskii Journal of Mathematics, 43:3 (2022), 519–527, DOI.

→ A. R. Alimov, I. G. Tsar'kov, "Ball-complete sets and solar properties of sets in asymmetric spaces", Result. Math., 77 (2022), 86, DOI.

→ A. R. Alimov, I. G. Tsar'kov, "Some Classical Problems of Geometric Approximation Theory in Asymmetric Spaces", Math. Notes, 112:1 (2022), 3–16, DOI.

→ A. R. Alimov, "Tomographic characterizations of suns in three-dimensional spaces", Trudy Inst. Mat. i Mekh. UrO RAN, 28, no. 2, 2022, 45–55, DOI.

→ A. R. Alimov, I. G. Tsar'kov, "Suns, moons, and \(\mathring B\)-complete sets in asymmetric spaces", Set-Valued Var. Anal., 30 (2022), 1233–1245, DOI.

→ A. R. Alimov, I. G. Tsarkov, "\(\mathring B\)-complete sets: approximative and structural properties", Siberian Math. J., 63 (2022), 412–420, DOI.

2021

→ A. R. Alimov, B. B. Bednov, "Monotone path-connectedness of Chebyshev sets in three-dimensional spaces", Sb. Math., 212:5 (2021), 636–654, DOI.

→ A. R. Alimov, I. G. Tsar'kov, "Special course in classical geometry approximation theory", OntoPrint, Moscow, 2021, 210 pp. (in Russian).

→ A. R. Alimov, I. G. Tsar'kov, "Smoothness of subspace sections of the unit balls of \(C(Q)\) and \(L_1\)", J. Approx. Theory, 65 (2021), 105552, DOI.

→ A. R. Alimov, "Solarity of Chebyshev sets in dual spaces and uniquely remotal sets", Lobachevskii J. Math., 42:4 (2021), 785–790, DOI.

→ A. R. Alimov, I. G. Tsar'kov, "Approximatively Compact Sets in Asymmetric Efimov–Stechkin Spaces and Convexity of Almost Suns", Math. Notes, 110:6 (2021), 947–951, DOI.

→ A. R. Alimov, I. G. Tsar'kov, "Geometric Approximation Theory", Springer Monographs in Mathematics, Springer, 2021, xxi+508 pp., DOI.