Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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2024 |
1. |
A. V. Greshnov, R. I. Zhukov, “Control theory problems and the Rashevskii–Chow theorem on a Cartan group”, Sibirsk. Mat. Zh., 65:5 (2024), 901–920 |
2. |
A. V. Greshnov, R. I. Zhukov, “Optimal estimates of the number of links of basis horizontal broken lines for 2-step Carnot groups with horizontal distribution of corank 1”, Russian Universities Reports. Mathematics, 2024, no. 147, 244–254 |
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2023 |
3. |
A. Greshnov, V. Potapov, “About coincidence points theorems on 2-step Carnot groups with 1-dimensional centre equipped with Box-quasimetrics”, AIMS Mathematics, 8:3 (2023), 6191–6205
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4
[x]
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4. |
A. V. Greshnov, “The Agrachev–Barilari–Boscain Method and Estimates for the Number of Segments of Horizontal Broken Lines Joining Points in the Canonical Carnot Group $G_{3,3}$”, Proc. Steklov Inst. Math., 321 (2023), 97–106 |
5. |
R. I. Zhukov, A. V. Greshnov, “Horizontal joinability on $5$-dimensional $2$-step Carnot groups with a codimension $2$ horizontal distribution”, Algebra Logika, 62:2 (2023), 205–218 |
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2022 |
6. |
A. V. Arutyunov, A. V. Greshnov, “$(q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points. A review of the results”, Fixed Point Theory, 23:2 (2022), 473–486
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10
[x]
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2021 |
7. |
A. Greshnov, “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, 32:3 (2021), 535–547
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5
[x]
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8. |
A. V. Greshnov, “On finding the exact values of the constant in a $(1,q_2)$-generalized triangle inequality for Box-quasimetrics on $2$-step Carnot groups with $1$-dimensional center”, Sib. elektron. matem. izv., 18:2 (2021), 1251–1260 ;
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1
[x]
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9. |
A. V. Greshnov, R. I. Zhukov, “Horizontal joinability in canonical 3-step carnot groups with corank 2 horizontal distributions”, Siberian Math. J., 62:4 (2021), 598–606 |
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2020 |
10. |
A. V. Greshnov, Siberian Math. J., 61:3 (2020), 417–425 |
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2019 |
11. |
A. V. Greshnov, R. I. Zhukov, “Completeness theorem in $(q_1,q_2)$-quasimetric spaces”, Sib. Èlektron. Mat. Izv., 16 (2019), 2090–2097 |
12. |
A. V. Greshnov, “Hyperspaces that satisfy $cc$-homogeneous cone condition on canonical Heisenberg and Engel groups”, Sib. Èlektron. Mat. Izv., 16 (2019), 938–948 |
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2018 |
13. |
A. V. Arutyunov, A. V. Greshnov, “$(q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points”, Izv. Math., 82:2 (2018), 245–272 |
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2019 |
14. |
A. V. Greshnov, “Symmetrizations of distance functions and $f$-quasimetric spaces”, Siberian Adv. Math., 29 (2019), 202–209 |
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2018 |
15. |
A. V. Greshnov, “Uniformity of $cc$-balls on some class of 2-step Carnot groups”, Sib. Èlektron. Mat. Izv., 15 (2018), 1182–1197 |
16. |
A. V. Greshnov, “Some problems of regularity of $f$-quasimetrics”, Sib. Èlektron. Mat. Izv., 15 (2018), 355–361 |
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2017 |
17. |
A. V. Greshnov, “$(q_1,q_2)$-quasimetrics bi-Lipschitz equivalent to $1$-quasimetrics”, Siberian Adv. Math., 27:4 (2017), 253–262 |
18. |
A. V. Greshnov, “Regularization of distance functions and separation axioms on $(q_1,q_2)$-quasimetric spaces”, Sib. Èlektron. Mat. Izv., 14 (2017), 765–773 |
19. |
A.V. Arutyunov, A.V. Greshnov, L.V. Lokoutsievskii, K.V. Storozhuk, “Topological and geometrical properties of spaces with symmetric and nonsymmetric $f$-quasimetrics”, Topology Appl., 221 (2017), 178–194 ;
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18
[x]
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2015 |
20. |
A. V. Greshnov, M. V. Tryamkin, “Exact Values of Constants in the Generalized Triangle Inequality for Some $(1,q_2)$-Quasimetrics on Canonical Carnot Groups”, Math. Notes, 98:4 (2015), 694–698 |
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2014 |
21. |
A. V. Greshnov, “The geometry of $cc$-balls and the constants in the Ball-Box theorem on Heisenberg group algebras”, Siberian Math. J., 55:5 (2014), 849–865 |
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2013 |
22. |
A. V. Greshnov, “Proof of Gromov's theorem on homogeneous nilpotent approximation for vector fields of class $C^1$”, Siberian Adv. Math., 23:3 (2013), 180–191 |
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2012 |
23. |
A. V. Belykh, A. V. Greshnov, “Quasispaces induced by vector fields measurable in $\mathbb R^3$”, Siberian Math. J., 53:6 (2012), 984–995 |
24. |
A. V. Greshnov, “On the generalized triangle inequality for quasimetrics induced by noncommuting vector fields”, Siberian Adv. Math., 22:2 (2012), 95–114 |
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2013 |
25. |
A. V. Belykh, A. V. Greshnov, “$cc$-Homogeneous Cone Condition and $cc$-Balls on Heizenberg Groups”, J. Math. Sci., 195:6 (2013), 779–790 |
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2010 |
26. |
A. V. Greshnov, “On one class of Lipschitz vector fields in $\mathbb R^3$”, Siberian Math. J., 51:3 (2010), 410–418 |
27. |
A. V. Greshnov, “On applications of the Taylor formula in some quasispaces”, Siberian Adv. Math., 20:3 (2010), 164–179 |
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2009 |
28. |
A. V. Greshnov, “Applications of the group analysis of differential equations to some systems of noncommuting $C^1$-smooth vector fields”, Siberian Math. J., 50:1 (2009), 37–48 |
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2008 |
29. |
A. V. Greshnov, “Differentiability of horizontal curves in Carnot–Carathéodory quasispaces”, Siberian Math. J., 49:1 (2008), 53–68 |
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2007 |
30. |
A. V. Greshnov, “Local approximation of uniformly regular Carnot–Carathéodory quasispaces by their tangent”, Siberian Math. J., 48:2 (2007), 229–248 |
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2006 |
31. |
A. V. Greshnov, “Metrics and tangent cones of uniformly regular Carnot–Carathéodory spaces”, Siberian Math. J., 47:2 (2006), 209–238 |
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2004 |
32. |
A. V. Greshnov, “Existence of the Domains that Satisfy the Interior and Exterior Corkscrew Conditions”, Siberian Adv. Math., 14:3 (2004), 1–15 |
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2001 |
33. |
A. V. Greshnov, “Uniform domains and $NTA$-domains in Carnot groups”, Siberian Math. J., 42:5 (2001), 851–864 |
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1996 |
34. |
S. K. Vodopyanov, A. V. Greshnov, “Continuation of differentiable functions, and quasiconformal mappings on Carnot groups”, Dokl. Akad. Nauk, 348:1 (1996), 15–18 |
35. |
A. V. Greshnov, “Extension of differentiable functions beyond the boundary of the domain on Carnot groups”, Trudy Inst. Mat. SO RAN, 31 (1996), 161–186 |
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1995 |
36. |
S. K. Vodop'yanov, A. V. Greshnov, “Analytic properties of quasiconformal mappings on Carnot groups”, Siberian Math. J., 36:6 (1995), 1142–1151 |
37. |
S. K. Vodop'yanov, A. V. Greshnov, “On extension of functions of bounded mean oscillation from domains in a space of homogeneous type with intrinsic metric”, Siberian Math. J., 36:5 (1995), 873–901 |
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