Edit Profile (opens in new tab) Greshnov, Aleksandr Valer’evich Co-Author Distance Author ID: greshnov.aleksandr-valerevich Published as: Greshnov, A. V.; Greshnov, Aleksandr Valer’evich; Greshnov, Alexandr Valer’yevich; Greshnov, Alexandr V. more...less Documents Indexed: 40 Publications since 1995 Co-Authors: 7 Co-Authors with 17 Joint Publications 238 Co-Co-Authors all top 5 Co-Authors 23 single-authored 6 Vodop’yanov, Sergeĭ Konstantinovich 5 Arutyunov, Aram Vladimirovic 3 Zhukov, Roman Ivanovich 2 Belykh, A. V. 1 Lokutsievskiy, Lev Viacheslavovich 1 Storozhuk, Konstantin Valer’evich 1 Tryamkin, Maksim Vladimirovich all top 5 Serials 7 Siberian Mathematical Journal 6 Sibirskie Èlektronnye Matematicheskie Izvestiya 5 Sibirskiĭ Matematicheskiĭ Zhurnal 5 Matematicheskie Trudy 4 Doklady Mathematics 3 Siberian Advances in Mathematics 1 Mathematical Notes 1 Algebra and Logic 1 Topology and its Applications 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Izvestiya: Mathematics 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Fixed Point Theory 1 Proceedings of the Steklov Institute of Mathematics all top 5 Fields 15 Differential geometry (53-XX) 12 Functions of a complex variable (30-XX) 12 General topology (54-XX) 8 Topological groups, Lie groups (22-XX) 4 Abstract harmonic analysis (43-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 188 times in 104 Documents Cited by ▼ Year ▼ Theory of \((q_1,q_2)\)-quasimetric spaces and coincidence points. Zbl 1352.54030 Arutyunov, A. V.; Greshnov, A. V. 25 2016 \((q_1,q_2)\)-quasimetric spaces. Covering mappings and coincidence points. Zbl 1401.54023 Arutyunov, Aram V.; Greshnov, Alexandr V. 22 2018 Topological and geometrical properties of spaces with symmetric and nonsymmetric \(f\)-quasimetrics. Zbl 1377.54028 Arutyunov, A. V.; Greshnov, A. V.; Lokutsievskii, L. V.; Storozhuk, K. V. 21 2017 Proof of Gromov’s theorem on homogeneous nilpotent approximation for vector fields of class \(C^1\). Zbl 1340.53064 Greshnov, A. V. 11 2012 Uniform domains and \(NTA\)-domains in Carnot groups. Zbl 1015.30009 Greshnov, A. V. 11 2001 Analytic properties of quasiconformal mappings on Carnot groups. Zbl 0891.30013 Vodop’yanov, S. K.; Greshnov, A. V. 11 1995 On extension of functions of bounded mean oscillation from domains in a space of homogeneous type with intrinsic metric. Zbl 0865.30029 Vodop’yanov, S. K.; Greshnov, A. V. 11 1995 Exact values of constants in the generalized triangle inequality for some \((1, q_2)\)-quasimetrics on canonical Carnot groups. Zbl 1348.22010 Greshnov, A. V.; Tryamkin, Maxim V. 10 2015 Coincidence points of multivalued mappings in \((q_1,q_2)\)-quasimetric spaces. Zbl 1410.54045 Arutyunov, A. V.; Greshnov, A. V. 9 2017 Local approximation of uniformly regular Carnot–Carathéodory quasispaces by their tangent cones. Zbl 1164.53343 Greshnov, A. V. 9 2007 On the differentiability of mappings of Carnot-Carathéodory spaces. Zbl 1246.30043 Vodop’yanov, S. K.; Greshnov, A. V. 8 2003 \((q_1,q_2)\)-quasimetrics bi-Lipschitz equivalent to 1-quasimetrics. Zbl 1399.54061 Greshnov, A. V. 5 2017 Regularization of distance functions and separation axioms on \((q_1,q_2)\)-quasimetric spaces. Zbl 1375.30096 Greshnov, A. V. 4 2017 On one class of Lipschitz vector fields in \(\mathbb R^{3}\). Zbl 1205.37033 Greshnov, A. V. 4 2010 On the generalized triangle inequality for quasimetrics induced by noncommuting vector fields. Zbl 1340.53065 Greshnov, A. V. 3 2011 The geometry of \(cc\)-balls and the constants in the ball-box theorem on Heisenberg group algebras. Zbl 1311.53034 Greshnov, A. V. 3 2014 Extension of differentiable functions beyond the boundary of the domain on Carnot groups. Zbl 0917.31007 Greshnov, A. V. 3 1996 Differentiability of horizontal curves in Carnot–Carathéodory quasispaces. Zbl 1164.53344 Greshnov, A. V. 3 2008 Optimal horizontal joinability on the Engel group. Zbl 1496.53042 Greshnov, Alexander 2 2021 Horizontal joinability in canonical 3-step Carnot groups with corank 2 horizontal distributions. Zbl 1484.53060 Greshnov, A. V.; Zhukov, R. I. 2 2021 Applications of the group analysis of differential equations to some systems of noncommuting \(C^1\)-smooth vector fields. Zbl 1224.53066 Greshnov, A. V. 2 2009 Metrics and tangent cones of uniformly regular Carnot-Carathéodory spaces. Zbl 1115.53024 Greshnov, A. V. 2 2006 On existence of domains that meet the interior and exterior spiral conditions. Zbl 1012.54037 Greshnov, A. V. 1 2002 Some problems of regularity of \(f\)-quasimetrics. Zbl 1401.54013 Greshnov, Aleksandr Valer’evich 1 2018 Quasiconformal mappings and BMO spaces on metric structures. Zbl 0912.43006 Vodop’yanov, S. K.; Greshnov, A. V. 1 1997 Uniformity of \(cc\)-balls on some class of 2-step Carnot groups. Zbl 1401.30067 Greshnov, A. V. 1 2018 Condition of cc-homogeneous cone and cc-balls on Heisenberg groups. Zbl 1249.53043 Belykh, A. V.; Greshnov, A. V. 1 2011 \((q_1,q_2)\)-quasimetric spaces. Covering mappings and coincidence points. A review of the results. Zbl 07781970 Arutyunov, A. V.; Greshnov, A. V. 1 2022 Quasispaces induced by vector fields measurable in \(\mathbb R^3\). Zbl 1268.53038 Belykh, A. V.; Greshnov, A. V. 1 2012 Distance functions between sets in \((q_1, q_2)\)-quasimetric spaces. Zbl 1447.54021 Greshnov, A. V. 1 2020 The Agrachev-Barilari-Boscain method and estimates for the number of segments of horizontal broken lines joining points in the canonical Carnot group \(G_{3,3}\). Zbl 07738524 Greshnov, A. V. 1 2023 The Agrachev-Barilari-Boscain method and estimates for the number of segments of horizontal broken lines joining points in the canonical Carnot group \(G_{3,3}\). Zbl 07738524 Greshnov, A. V. 1 2023 \((q_1,q_2)\)-quasimetric spaces. Covering mappings and coincidence points. A review of the results. Zbl 07781970 Arutyunov, A. V.; Greshnov, A. V. 1 2022 Optimal horizontal joinability on the Engel group. Zbl 1496.53042 Greshnov, Alexander 2 2021 Horizontal joinability in canonical 3-step Carnot groups with corank 2 horizontal distributions. Zbl 1484.53060 Greshnov, A. V.; Zhukov, R. I. 2 2021 Distance functions between sets in \((q_1, q_2)\)-quasimetric spaces. Zbl 1447.54021 Greshnov, A. V. 1 2020 \((q_1,q_2)\)-quasimetric spaces. Covering mappings and coincidence points. Zbl 1401.54023 Arutyunov, Aram V.; Greshnov, Alexandr V. 22 2018 Some problems of regularity of \(f\)-quasimetrics. Zbl 1401.54013 Greshnov, Aleksandr Valer’evich 1 2018 Uniformity of \(cc\)-balls on some class of 2-step Carnot groups. Zbl 1401.30067 Greshnov, A. V. 1 2018 Topological and geometrical properties of spaces with symmetric and nonsymmetric \(f\)-quasimetrics. Zbl 1377.54028 Arutyunov, A. V.; Greshnov, A. V.; Lokutsievskii, L. V.; Storozhuk, K. V. 21 2017 Coincidence points of multivalued mappings in \((q_1,q_2)\)-quasimetric spaces. Zbl 1410.54045 Arutyunov, A. V.; Greshnov, A. V. 9 2017 \((q_1,q_2)\)-quasimetrics bi-Lipschitz equivalent to 1-quasimetrics. Zbl 1399.54061 Greshnov, A. V. 5 2017 Regularization of distance functions and separation axioms on \((q_1,q_2)\)-quasimetric spaces. Zbl 1375.30096 Greshnov, A. V. 4 2017 Theory of \((q_1,q_2)\)-quasimetric spaces and coincidence points. Zbl 1352.54030 Arutyunov, A. V.; Greshnov, A. V. 25 2016 Exact values of constants in the generalized triangle inequality for some \((1, q_2)\)-quasimetrics on canonical Carnot groups. Zbl 1348.22010 Greshnov, A. V.; Tryamkin, Maxim V. 10 2015 The geometry of \(cc\)-balls and the constants in the ball-box theorem on Heisenberg group algebras. Zbl 1311.53034 Greshnov, A. V. 3 2014 Proof of Gromov’s theorem on homogeneous nilpotent approximation for vector fields of class \(C^1\). Zbl 1340.53064 Greshnov, A. V. 11 2012 Quasispaces induced by vector fields measurable in \(\mathbb R^3\). Zbl 1268.53038 Belykh, A. V.; Greshnov, A. V. 1 2012 On the generalized triangle inequality for quasimetrics induced by noncommuting vector fields. Zbl 1340.53065 Greshnov, A. V. 3 2011 Condition of cc-homogeneous cone and cc-balls on Heisenberg groups. Zbl 1249.53043 Belykh, A. V.; Greshnov, A. V. 1 2011 On one class of Lipschitz vector fields in \(\mathbb R^{3}\). Zbl 1205.37033 Greshnov, A. V. 4 2010 Applications of the group analysis of differential equations to some systems of noncommuting \(C^1\)-smooth vector fields. Zbl 1224.53066 Greshnov, A. V. 2 2009 Differentiability of horizontal curves in Carnot–Carathéodory quasispaces. Zbl 1164.53344 Greshnov, A. V. 3 2008 Local approximation of uniformly regular Carnot–Carathéodory quasispaces by their tangent cones. Zbl 1164.53343 Greshnov, A. V. 9 2007 Metrics and tangent cones of uniformly regular Carnot-Carathéodory spaces. Zbl 1115.53024 Greshnov, A. V. 2 2006 On the differentiability of mappings of Carnot-Carathéodory spaces. Zbl 1246.30043 Vodop’yanov, S. K.; Greshnov, A. V. 8 2003 On existence of domains that meet the interior and exterior spiral conditions. Zbl 1012.54037 Greshnov, A. V. 1 2002 Uniform domains and \(NTA\)-domains in Carnot groups. Zbl 1015.30009 Greshnov, A. V. 11 2001 Quasiconformal mappings and BMO spaces on metric structures. Zbl 0912.43006 Vodop’yanov, S. K.; Greshnov, A. V. 1 1997 Extension of differentiable functions beyond the boundary of the domain on Carnot groups. Zbl 0917.31007 Greshnov, A. V. 3 1996 Analytic properties of quasiconformal mappings on Carnot groups. Zbl 0891.30013 Vodop’yanov, S. K.; Greshnov, A. V. 11 1995 On extension of functions of bounded mean oscillation from domains in a space of homogeneous type with intrinsic metric. Zbl 0865.30029 Vodop’yanov, S. K.; Greshnov, A. V. 11 1995 all cited Publications top 5 cited Publications all top 5 Cited by 78 Authors 18 Greshnov, Aleksandr Valer’evich 9 Arutyunov, Aram Vladimirovic 9 Zhukovskiĭ, Evgeniĭ Semenovich 7 Vodop’yanov, Sergeĭ Konstantinovich 5 Merchela, Wassim 5 Storozhuk, Konstantin Valer’evich 4 Basalaev, Sergey G. 4 Herron, David A. 4 Morbidelli, Daniele 3 Buckley, Stephen M. 3 Markina, Irina 3 Merchela, Vassim 3 Monti, Roberto 3 Selivanova, Svetlana V. 3 Zhukov, Roman Ivanovich 2 Fomenko, Tat’yana Nikolaevna 2 Heinonen, Juha 2 Koskela, Pekka 2 Romanovskii, N. N. 2 Sengupta, Richik 2 Shanmugalingam, Nageswari 2 Ukhlov, Alexander Dadar-Oolovich 2 Zhukovskaya, Tat’yana Vladimirovna 1 Adamowicz, Tomasz 1 Baldi, Annalisa 1 Belykh, A. V. 1 Benarab, Sarra 1 Butaev, Almaz 1 Chaib, Radhowane 1 Chrząszcz, Katarzyna 1 Dafni, Galia 1 Duraj, Sidite 1 Fässler, Katrin S. 1 Freeman, Randy A. 1 Garofalo, Nicola 1 Gibara, Ryan 1 Glück, Jochen 1 Hoxha, Elida 1 Jachymsky, Jacek R. 1 Karmanova, Maria B. 1 Kline, Josh 1 Kozhevnikov, A. D. 1 Kurki, Emma-Karoliina 1 Li, Yaxiang 1 Lierl, Janna 1 Lokutsievskiy, Lev Viacheslavovich 1 Mamon, Sergeĭ Vladimirovich 1 Merghadi, Faycel 1 Montanari, Annamaria 1 Montefalcone, Francescopaolo 1 Mouhoubi, Zahir 1 Mudarra, Carlos 1 Nhieu, Duy-Minh 1 Nowakowski, Andrzej 1 Panasenko, Elena Aleksandrovna 1 Pasicki, Lech 1 Pavlova, Natalia G. 1 Petruşel, Adrian 1 Petruşel, Gabriela 1 Plebaniak, Robert 1 Ponnusamy, Saminathan 1 Romanov, Aleksandr Sergeevich 1 Saloff-Coste, Laurent 1 Sevost’yanov, Yevgen Oleksandrovych 1 Shindyapin, Andreĭ Igorevich 1 Sila, Eriola 1 Staples, Susan G. 1 Turoboś, Filip 1 Tyson, Jeremy T. 1 Tyulenev, Alexander I. 1 Wang, Wei 1 Wu, Qingyan 1 Xie, Xiangdong 1 Yang, Hongzhen 1 Yao, Jen-Chih 1 Zhou, Qingshan 1 Zhukovskaya, Zukhra Tagurovna 1 Zhukovskiĭ, Sergeĭ Evgen’evich all top 5 Cited in 48 Serials 24 Siberian Mathematical Journal 7 Sibirskie Èlektronnye Matematicheskie Izvestiya 6 Vestnik Rossiĭskikh Universitetov. Matematika 4 Journal d’Analyse Mathématique 4 Topology and its Applications 3 Journal of Mathematical Analysis and Applications 3 Journal of Functional Analysis 3 Russian Mathematics 2 Mathematical Notes 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Doklady Mathematics 2 Conformal Geometry and Dynamics 2 Matematicheskie Trudy 2 Differential Equations 2 Proceedings of the Steklov Institute of Mathematics 2 Eurasian Mathematical Journal 2 Annales Fennici Mathematici 1 Israel Journal of Mathematics 1 Moscow University Mathematics Bulletin 1 Acta Mathematica 1 Algebra and Logic 1 Archiv der Mathematik 1 Illinois Journal of Mathematics 1 Journal of Optimization Theory and Applications 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Optimization 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Aequationes Mathematicae 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Izvestiya: Mathematics 1 Journal of Dynamical and Control Systems 1 Journal of the Australian Mathematical Society 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Fixed Point Theory 1 Set-Valued and Variational Analysis 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Journal of Mathematics 1 Discontinuity, Nonlinearity, and Complexity all top 5 Cited in 30 Fields 33 General topology (54-XX) 25 Differential geometry (53-XX) 22 Functions of a complex variable (30-XX) 20 Operator theory (47-XX) 11 Functional analysis (46-XX) 8 Partial differential equations (35-XX) 8 Abstract harmonic analysis (43-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Topological groups, Lie groups (22-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Geometry (51-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year