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Greshnov, Alexandr Valer'evich

Total publications: 37 (37)
in MathSciNet: 19 (19)
in zbMATH: 10 (10)
in Web of Science: 22 (22)
in Scopus: 17 (17)
Cited articles: 33
Citations: 275
Presentations: 6

Number of views:
This page:2886
Abstract pages:10775
Full texts:2981
References:1228
Senior Researcher
Candidate of physico-mathematical sciences (2011)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: (q1, q2) - quasimetric, general triangle inequality, covering mappings, coincidence points, multivalued mappings.

https://www.mathnet.ru/eng/person20915
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/603559
https://www.scopus.com/authid/detail.url?authorId=6506409279

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   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  mathnet  crossref
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  mathnet  crossref  elib

   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  crossref  scopus 4
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  mathnet  crossref  crossref  scopus
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  mathnet  crossref

   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  crossref  scopus 10

   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  crossref  isi 5
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  mathnet  crossref  isi; 1
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  mathnet  crossref  crossref  isi  elib  scopus

   2020
10. A. V. Greshnov, Siberian Math. J., 61:3 (2020), 417–425  mathnet  crossref  crossref  isi  elib  scopus

   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  mathnet  crossref  isi
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  mathnet  crossref  isi

   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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2019
14. A. V. Greshnov, “Symmetrizations of distance functions and $f$-quasimetric spaces”, Siberian Adv. Math., 29 (2019), 202–209  mathnet  crossref  crossref  scopus

   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  mathnet  crossref  isi
16. A. V. Greshnov, “Some problems of regularity of $f$-quasimetrics”, Sib. Èlektron. Mat. Izv., 15 (2018), 355–361  mathnet  crossref  isi

   2017
17. A. V. Greshnov, “$(q_1,q_2)$-quasimetrics bi-Lipschitz equivalent to $1$-quasimetrics”, Siberian Adv. Math., 27:4 (2017), 253–262  mathnet  crossref  crossref  elib  scopus
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  mathnet  crossref  isi
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  mathnet  crossref  mathscinet  isi  scopus; 18

   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  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   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  mathnet  crossref  mathscinet  isi  scopus

   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  mathnet  crossref  mathscinet  elib

   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  mathnet  crossref  mathscinet  isi  elib  elib  scopus
24. A. V. Greshnov, “On the generalized triangle inequality for quasimetrics induced by noncommuting vector fields”, Siberian Adv. Math., 22:2 (2012), 95–114  mathnet  crossref  mathscinet

   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  mathnet  crossref

   2010
26. A. V. Greshnov, “On one class of Lipschitz vector fields in $\mathbb R^3$”, Siberian Math. J., 51:3 (2010), 410–418  mathnet  crossref  mathscinet  zmath  isi  scopus
27. A. V. Greshnov, “On applications of the Taylor formula in some quasispaces”, Siberian Adv. Math., 20:3 (2010), 164–179  mathnet  crossref  mathscinet  elib  elib

   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  mathnet  crossref  mathscinet  isi  scopus

   2008
29. A. V. Greshnov, “Differentiability of horizontal curves in Carnot–Carathéodory quasispaces”, Siberian Math. J., 49:1 (2008), 53–68  mathnet  crossref  mathscinet  zmath  isi  scopus

   2007
30. A. V. Greshnov, “Local approximation of uniformly regular Carnot–Carathéodory quasispaces by their tangent”, Siberian Math. J., 48:2 (2007), 229–248  mathnet  crossref  mathscinet  zmath  isi  scopus

   2006
31. A. V. Greshnov, “Metrics and tangent cones of uniformly regular Carnot–Carathéodory spaces”, Siberian Math. J., 47:2 (2006), 209–238  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   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  mathnet  mathscinet  zmath

   2001
33. A. V. Greshnov, “Uniform domains and $NTA$-domains in Carnot groups”, Siberian Math. J., 42:5 (2001), 851–864  mathnet  crossref  mathscinet  zmath  isi

   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  mathnet  mathscinet  zmath
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  mathnet  mathscinet  zmath

   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  mathnet  crossref  mathscinet  zmath  isi
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  mathnet  crossref  mathscinet  zmath  isi

Presentations in Math-Net.Ru
1. Об оценках в теоремах о точках совпадения на группах Карно
A. V. Greshnov

November 7, 2022 16:10
2. Нильпотентная аппроксимация и горизонтальная соединимость на пространствах Карно-Каратеодори
A. V. Greshnov

August 9, 2021 15:30
3. Some properties of (q1,q2)-quasimetric spaces
A. V. Greshnov
International Conference "Geometric Analysis and Control Theory"
December 10, 2016 11:40   
4. 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
5. 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   
6. 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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