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Greshnov Alexandr Valer'evich

Statistics Math-Net.Ru
Total publications: 22
Scientific articles: 22
Presentations: 4

Number of views:
This page:1322
Abstract pages:4281
Full texts:835
References:413
Senior Researcher
Candidate of physico-mathematical sciences
E-mail:
Keywords: (q1, q2) - quasimetric, general triangle inequality, covering mappings, coincidence points, multivalued mappings.

http://www.mathnet.ru/eng/person20915
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/603559

Publications in Math-Net.Ru
2018
1. A. V. Arutyunov, A. V. Greshnov, “$(q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points”, Izv. RAN. Ser. Mat., 82:2 (2018),  3–32  mathnet  mathscinet  elib; Izv. Math., 82:2 (2018), 245–272  isi  scopus
2. A. V. Greshnov, “Симметризации функций расстояния и $f$-квазиметрические пространства”, Mat. Tr., 21:2 (2018),  150–162  mathnet
3. A. V. Greshnov, “Uniformity of $cc$-balls on some class of 2-step Carnot groups”, Sib. Èlektron. Mat. Izv., 15 (2018),  1182–1197  mathnet
4. A. V. Greshnov, “Some problems of regularity of $f$-quasimetrics”, Sib. Èlektron. Mat. Izv., 15 (2018),  355–361  mathnet
2017
5. A. V. Greshnov, “$(q_1,q_2)$-quasimetrics bi-Lipschitz equivalent to $1$-quasimetrics”, Mat. Tr., 20:1 (2017),  81–96  mathnet  elib; Siberian Adv. Math., 27:4 (2017), 253–262  scopus
6. 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  mathnet
7. 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  mathnet  isi  scopus
2015
8. 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”, Mat. Zametki, 98:4 (2015),  635–639  mathnet  mathscinet  elib; Math. Notes, 98:4 (2015), 694–698  isi  scopus
2014
9. A. V. Greshnov, “The geometry of $cc$-balls and the constants in the Ball-Box theorem on Heisenberg group algebras”, Sibirsk. Mat. Zh., 55:5 (2014),  1040–1058  mathnet  mathscinet; Siberian Math. J., 55:5 (2014), 849–865  isi  scopus
2012
10. A. V. Greshnov, “Proof of Gromov's theorem on homogeneous nilpotent approximation for vector fields of class $C^1$”, Mat. Tr., 15:2 (2012),  72–88  mathnet  mathscinet  elib; Siberian Adv. Math., 23:3 (2013), 180–191
11. A. V. Belykh, A. V. Greshnov, “Quasispaces induced by vector fields measurable in $\mathbb R^3$”, Sibirsk. Mat. Zh., 53:6 (2012),  1231–1244  mathnet  mathscinet  elib; Siberian Math. J., 53:6 (2012), 984–995  isi  elib  scopus
2011
12. A. V. Greshnov, “On the generalized triangle inequality for quasimetrics induced by noncommuting vector fields”, Mat. Tr., 14:1 (2011),  70–98  mathnet  mathscinet; Siberian Adv. Math., 22:2 (2012), 95–114
13. A. V. Belykh, A. V. Greshnov, “$cc$-Homogeneous Cone Condition and $cc$-Balls on Heizenberg Groups”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:4 (2011),  8–20  mathnet; J. Math. Sci., 195:6 (2013), 779–790
2010
14. A. V. Greshnov, “On one class of Lipschitz vector fields in $\mathbb R^3$”, Sibirsk. Mat. Zh., 51:3 (2010),  517–527  mathnet  mathscinet  zmath; Siberian Math. J., 51:3 (2010), 410–418  isi  scopus
2009
15. A. V. Greshnov, “On applications of the Taylor formula in some quasispaces”, Mat. Tr., 12:1 (2009),  3–25  mathnet  mathscinet  elib; Siberian Adv. Math., 20:3 (2010), 164–179  elib
16. A. V. Greshnov, “Applications of the group analysis of differential equations to some systems of noncommuting $C^1$-smooth vector fields”, Sibirsk. Mat. Zh., 50:1 (2009),  47–62  mathnet  mathscinet; Siberian Math. J., 50:1 (2009), 37–48  isi  scopus
2008
17. A. V. Greshnov, “Differentiability of horizontal curves in Carnot–Carathéodory quasispaces”, Sibirsk. Mat. Zh., 49:1 (2008),  67–86  mathnet  mathscinet  zmath; Siberian Math. J., 49:1 (2008), 53–68  isi  scopus
2007
18. A. V. Greshnov, “Local approximation of uniformly regular Carnot–Carathéodory quasispaces by their tangent”, Sibirsk. Mat. Zh., 48:2 (2007),  290–312  mathnet  mathscinet  zmath; Siberian Math. J., 48:2 (2007), 229–248  isi  scopus
2006
19. A. V. Greshnov, “Metrics and tangent cones of uniformly regular Carnot–Carathéodory spaces”, Sibirsk. Mat. Zh., 47:2 (2006),  259–292  mathnet  mathscinet  zmath  elib; Siberian Math. J., 47:2 (2006), 209–238  isi  elib  scopus
2002
20. A. V. Greshnov, “Existence of the Domains that Satisfy the Interior and Exterior Corkscrew Conditions”, Mat. Tr., 5:2 (2002),  138–154  mathnet  mathscinet  zmath; Siberian Adv. Math., 14:3 (2004), 1–15
2001
21. A. V. Greshnov, “Uniform domains and $NTA$-domains in Carnot groups”, Sibirsk. Mat. Zh., 42:5 (2001),  1018–1035  mathnet  mathscinet  zmath; Siberian Math. J., 42:5 (2001), 851–864  isi
1995
22. S. K. Vodop'yanov, A. V. Greshnov, “Analytic properties of quasiconformal mappings on Carnot groups”, Sibirsk. Mat. Zh., 36:6 (1995),  1317–1327  mathnet  mathscinet  zmath; Siberian Math. J., 36:6 (1995), 1142–1151  isi
23. 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”, Sibirsk. Mat. Zh., 36:5 (1995),  1015–1048  mathnet  mathscinet  zmath; Siberian Math. J., 36:5 (1995), 873–901  isi

Presentations in Math-Net.Ru
1. Some properties of (q1,q2)-quasimetric spaces
A. V. Greshnov
International Conference "Geometric Analysis and Control Theory"
December 10, 2016 11:40   
2. Точные константы в $(q_1,q_2)$-обобщенном неравенстве треугольника для Box-квазиметрик некоторых канонических групп Карно
A. V. Greshnov, M. V. Tryamkin
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 27, 2015 17:05
3. Накрывающие отображения в квазиметрических пространствах и пространствах Карно–Каратеодори
A. V. Arutyunov, A. V. Greshnov
Summer school "Geometric Control Theory and Analysis on Metric Structures"
July 26, 2014 16:20   
4. Existence and approximation theorems in non-commutative geometric analysis
A. V. Greshnov
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 2, 2011 16:45

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