Science activity

Articles (18) More info

1	Greshnov A.V. , Zhukov R.I. Control Theory Problems and the Rashevskii–Chow Theorem on a Cartan Group Siberian Mathematical Journal. 2024. V.65. N5. P.1096-1111. DOI: 10.1134/s0037446624050100 WOS Scopus РИНЦ OpenAlex
2	Greshnov A. , Potapov V. About coincidence points theorems on 2-step Carnot groups with 1-dimensional centre equipped with Box-quasimetrics AIMS Mathematics. 2023. V.8. N3. P.6191-6205. DOI: 10.3934/math.2023313 WOS Scopus РИНЦ OpenAlex
3	Greshnov A.V. The Agrachev–Barilari–Boscain Method and Estimates for the Number of Segments of Horizontal Broken Lines Joining Points in the Canonical Carnot Group G3,3 Proceedings of the Steklov Institute of Mathematics. 2023. V.321. N1. P.97-106. DOI: 10.1134/s0081543823020074 WOS Scopus РИНЦ OpenAlex
4	Zhukov R.I. , Greshnov A.V. Horizontal joinability on 5-dimensional 2-step Carnot groups with a codimension 2 horizontal distribution Algebra and Logic. 2023. V.62. N2. P.137-147. DOI: 10.1007/s10469-024-09732-7 WOS Scopus РИНЦ OpenAlex
5	Arutyunov A.V. , Greshnov A.V. (q1, q2)-QUASIMETRIC SPACES. COVERING AND COINCIDENCE POINTS. A REVIEW RESULTS Fixed Point Theory. 2022. V.23. N2. P.473-486. DOI: 10.24193/fpt-ro.2022.2.03 WOS Scopus РИНЦ OpenAlex
6	Greshnov A.V. , Zhukov R.I. Horizontal Joinability in Canonical 3-Step Carnot Groups with Corank 2 Horizontal Distributions Siberian Mathematical Journal. 2021. V.62. N4. P.598-606. DOI: 10.1134/S0037446621040030 WOS Scopus OpenAlex
7	Greshnov A.V. ON FINDING THE EXACT VALUES OF THE CONSTANT IN A (1; q2)-GENERALIZED TRIANGLE INEQUALITY FOR BOX-QUASIMETRICS ON 2-STEP CARNOT GROUPS WITH 1-DIMENSIONAL CENTER Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N2. P.1251-1260. DOI: 10.33048/SEMI.2021.18.095 WOS Scopus OpenAlex
8	Greshnov A.V. Optimal horizontal joinability on the Engel group Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni. 2021. V.32. N3. P.535–547. DOI: 10.4171/RLM/947 WOS Scopus OpenAlex
9	Greshnov A.V. Distance Functions Between Sets in (q 1, q 2)-Quasimetric Spaces Siberian Mathematical Journal. 2020. V.61. N3. P.417-425. DOI: 10.1134/S0037446620030040 WOS Scopus OpenAlex
10	Greshnov A.V. Symmetrizations of Distance Functions and f-Quasimetric Spaces Siberian Advances in Mathematics. 2019. V.29. N3. P.202-209. DOI: 10.3103/S1055134419030052 Scopus OpenAlex
11	Greshnov A.V. Hyperspaces that satisfy cc-homogeneous cone condition on canonical Heisenberg and Engel groups [ГИПЕРПРОСТРАНСТВА, УДОВЛЕТВОРЯЮЩИЕ УСЛОВИЮ cc-ОДНОРОДНОГО КОНУСА, НА КАНОНИЧЕСКИХ ГРУППАХ ГЕЙЗЕНБЕРГА И ЭНГЕЛЯ] Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019. V.16. P.938-948. DOI: 10.33048/semi.2019.16.062 WOS Scopus OpenAlex
12	Greshnov A.V. Uniformity of cc-balls on some class of 2-step Carnot groups [РАВНОМЕРНОСТЬ cc-ШАРОВ НА ОДНОМ КЛАССЕ 2-СТУПЕНЧАТЫХ ГРУПП КАРНО] Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2018. V.15. P.1182-1197. DOI: 10.17377/semi.2018.15.096 WOS Scopus
13	Greshnov A.V. Some problems of regularity of f-quasimetrics Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2018. V.15. P.355-361. DOI: 10.17377/semi.2018.15.032 WOS Scopus
14	Greshnov A.V. , Arutyunov A.V. (q_1,q_2)-quasimetric spaces. Covering mappings and coincidence points Izvestiya Mathematics. 2018. V.82. N2. P.245–272. DOI: 10.1070/IM8546 WOS Scopus OpenAlex
15	Greshnov A.V. (q 1, q 2)-quasimetrics bi-Lipschitz equivalent to 1-quasimetrics Siberian Advances in Mathematics. 2017. V.27. N4. P.253-262. DOI: 10.3103/S1055134417040034 Scopus OpenAlex
16	Greshnov A.V. Regularization of distance functions and separation axioms on (q1; q2)-quasimetric spaces Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2017. V.14. P.765-773. DOI: 10.17377/semi.2017.14.065 WOS Scopus
17	Greshnov A.V. , Arutyunov A.V. , Lokutsievskii L.V. , Storozhuk K.V. Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics Topology and its Applications. 2017. V.221. P.178–194. DOI: 10.1016/j.topol.2017.02.035 WOS Scopus OpenAlex
18	Greshnov A.V. , Arutyunov A.V. Coincidence points of multivalued mappings in (q1, q2)-quasimetric spaces Doklady Mathematics. 2017. V.96. N2. P.438–441. DOI: 10.1134/S1064562417050064 WOS Scopus OpenAlex

Conference theses (2) More info

1	Greshnov A. Exact values of the constants in $(q_1,q_2)$-generalized triangle inequality for $(q_1,q_2)$-quasimetric spaces In compilation Proceeding Book <<1st International Conference Mohand Moussaoui on Applied Mathematics and Modeling>>. 2024. – C.18-25.
2	Greshnov A.V. Горизонтальные ломаные и группа Гурса In compilation Тезисы докладов Международной конференции "Мальцевские чтения", 13–17 ноября 2023г.. 2023. – C.174. РИНЦ

Conference attendances (1) More info

1	Greshnov A.V. Exact values of the constants in $(q_1,q_2)$-generalized triangle inequality for $(q_1,q_2)$-quasimetric spaces 1st International Conference Mohand Moussaoui on Applied Mathematics and Modeling <<CIM’24>> 19-20 Nov 2024

Degrees

2012 - Dr.Sc.