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Grigor'yan, Alexander Asaturovich
Statistics Math-Net.Ru
Total publications: 22
Scientific articles: 20
Presentations: 3

Number of views:
This page:4812
Abstract pages:13195
Full texts:4271
References:861
Professor
Doctor of physico-mathematical sciences (1989)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Website: http://www.math.uni-bielefeld.de/~grigor/

https://www.mathnet.ru/eng/person18957
List of publications on Google Scholar
https://zbmath.org/authors/ai:grigoryan.alexander
https://mathscinet.ams.org/mathscinet/MRAuthorID/203816

Publications in Math-Net.Ru Citations
2023
1. Alexander Bendikov, Alexander Grigor'yan, Stanislav Molchanov, “Hierarchical Schrödinger Operators with Singular Potentials”, Trudy Mat. Inst. Steklova, 323 (2023),  17–52  mathnet; Proc. Steklov Inst. Math., 323 (2023), 12–46  scopus
2021
2. A. A. Grigor'yan, Yu. V. Muranov, R. B. Jimenez, “Homology of Digraphs”, Mat. Zametki, 109:5 (2021),  705–722  mathnet  elib; Math. Notes, 109:5 (2021), 712–726  isi  scopus 4
2017
3. A. A. Grigor'yan, A. G. Losev, “Dimension of spaces of solutions of the Schrodinger equation on noncompact riemannian manifolds”, Mathematical Physics and Computer Simulation, 20:3 (2017),  34–42  mathnet 5
2016
4. A. A. Grigor'yan, Yong Lin, Yu. V. Muranov, Shing-Tung Yau, “Path complexes and their homologies”, Fundam. Prikl. Mat., 21:5 (2016),  79–128  mathnet; J. Math. Sci., 248:5 (2020), 564–599 32
2015
5. A. D. Bendikov, A. A. Grigor'yan, S. A. Molchanov, G. P. Samorodnitsky, “On a class of random perturbations of the hierarchical Laplacian”, Izv. RAN. Ser. Mat., 79:5 (2015),  3–38  mathnet  mathscinet  elib; Izv. Math., 79:5 (2015), 859–893  isi  scopus 5
2014
6. Alexander Grigor'yan, Jiaxin Hu, “Upper bounds of heat kernels on doubling spaces”, Mosc. Math. J., 14:3 (2014),  505–563  mathnet  mathscinet  isi 37
7. A. D. Bendikov, A. A. Grigor'yan, Ch. Pittet, W. Woess, “Isotropic Markov semigroups on ultra-metric spaces”, Uspekhi Mat. Nauk, 69:4(418) (2014),  3–102  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:4 (2014), 589–680  isi  scopus 35
1991
8. A. A. Grigor'yan, “The heat equation on noncompact Riemannian manifolds”, Mat. Sb., 182:1 (1991),  55–87  mathnet  mathscinet  zmath; Math. USSR-Sb., 72:1 (1992), 47–77  isi 119
1990
9. A. A. Grigor'yan, “Dimension of spaces of harmonic functions”, Mat. Zametki, 48:5 (1990),  55–61  mathnet  mathscinet  zmath; Math. Notes, 48:5 (1990), 1114–1118  isi 12
1988
10. A. A. Grigor'yan, “Stochastically complete manifolds and summable harmonic functions”, Izv. Akad. Nauk SSSR Ser. Mat., 52:5 (1988),  1102–1108  mathnet  mathscinet  zmath; Math. USSR-Izv., 33:2 (1989), 425–432 17
1987
11. A. A. Grigor'yan, “A criterion for the existence on a Riemannian manifold of a nontrivial bounded harmonic function with a finite Dirichlet integral”, Dokl. Akad. Nauk SSSR, 293:3 (1987),  529–531  mathnet  mathscinet  zmath
12. A. A. Grigor'yan, N. S. Nadirashvili, “The Liouville theorems and exterior boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 5,  25–33  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 31:5 (1987), 31–42 13
13. A. A. Grigor'yan, “On the set of positive solutions of the Laplace–Beltrami equation on Riemannian manifolds of a special form”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 2,  30–37  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 31:2 (1987), 48–60 1
14. A. A. Grigor'yan, “Fundamental solution of the heat equation on an arbitrary Riemannian manifold”, Mat. Zametki, 41:5 (1987),  687–692  mathnet  mathscinet  zmath; Math. Notes, 41:5 (1987), 386–389  isi 4
15. A. A. Grigor'yan, “On Liouville theorems for harmonic functions with finite Dirichlet integral”, Mat. Sb. (N.S.), 132(174):4 (1987),  496–516  mathnet  mathscinet  zmath; Math. USSR-Sb., 60:2 (1988), 485–504 17
1986
16. A. A. Grigor'yan, “Stochastically complete manifolds”, Dokl. Akad. Nauk SSSR, 290:3 (1986),  534–537  mathnet  mathscinet  zmath 2
1985
17. A. A. Grigor'yan, “Isoperimetric inequalities for Riemannian products”, Mat. Zametki, 38:4 (1985),  617–626  mathnet  mathscinet  zmath; Math. Notes, 38:4 (1985), 849–854  isi 3
18. A. A. Grigor'yan, “On the existence of positive fundamental solutions of the Laplace equation on Riemannian manifolds”, Mat. Sb. (N.S.), 128(170):3(11) (1985),  354–363  mathnet  mathscinet  zmath; Math. USSR-Sb., 56:2 (1987), 349–358 77
1983
19. A. A. Grigor'yan, “On the existence of a Green's function on a manifold”, Uspekhi Mat. Nauk, 38:1(229) (1983),  161–162  mathnet  mathscinet  zmath; Russian Math. Surveys, 38:1 (1983), 190–191  isi 12
1982
20. A. A. Grigor'yan, “A Liouville theorem on a manifold”, Uspekhi Mat. Nauk, 37:3(225) (1982),  181–182  mathnet  mathscinet  zmath; Russian Math. Surveys, 37:3 (1982), 209–210 5
2014
21. F. G. Avkhadiev, V. A. Botvinnik, S. K. Vodop'yanov, M. Vuorinen, V. M. Gol'dstein, V. V. Goryainov, A. A. Grigor'yan, V. N. Dubinin, I. V. Zhuravlev, V. A. Zorich, V. M. Kesel'man, A. A. Klyachin, V. A. Klyachin, T. G. Latfullin, A. V. Loboda, A. G. Losev, O. Martio, V. I. Pelikh, S. I. Pinchuk, Yu. G. Reshetnyak, A. S. Romanov, A. G. Sergeev, V. G. Tkachev, E. M. Chirka, “Vladimir Mikhailovich Miklyukov (obituary)”, Uspekhi Mat. Nauk, 69:3(417) (2014),  173–176  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:3 (2014), 565–568  isi
2005
22. V. G. Drinfeld, A. A. Grigor'yan, Yu. S. Ilyashenko, D. Jakobson, C. E. Kenig, S. B. Kuksin, P. C. Sarnak, M. A. Tsfasman, S. G. Vlăduţ, “Nikolai Nadirashvili”, Mosc. Math. J., 5:4 (2005),  969–970  mathnet  zmath

Presentations in Math-Net.Ru
1. Analysis on fractal spaces and heat kernels
A. A. Grigor'yan
Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov
May 30, 2023 16:00   
2. Analysis on ultra-metric and fractal spaces
A. A. Grigor'yan
International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100)
January 10, 2023 16:00   
3. Heat kernels on ultra-metric spaces
A. A. Grigoryan
Geometric Measure Theory and Geometric Analysis in Moscow
September 17, 2020 12:00   

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