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Grigor'yan, Alexander Asaturovich

Statistics Math-Net.Ru
Total publications: 20
Scientific articles: 18
Presentations: 1

Number of views:
This page:2408
Abstract pages:8922
Full texts:2636
References:472
Professor
Website: http://www.math.uni-bielefeld.de/~grigor/

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

Publications in Math-Net.Ru
2017
1. 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
2016
2. 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
2015
3. 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
2014
4. Alexander Grigor'yan, Jiaxin Hu, “Upper bounds of heat kernels on doubling spaces”, Mosc. Math. J., 14:3 (2014),  505–563  mathnet  mathscinet  isi
5. 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
1991
6. 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
1990
7. 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
1988
8. 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
1987
9. 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
10. A. A. Grigor'yan, N. S. Nadirashvili, “The Liouville theorems and exterior boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, 5,  25–33  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 31:5 (1987), 31–42
11. 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, 2,  30–37  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 31:2 (1987), 48–60
12. 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
13. 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
1986
14. A. A. Grigor'yan, “Stochastically complete manifolds”, Dokl. Akad. Nauk SSSR, 290:3 (1986),  534–537  mathnet  mathscinet  zmath
1985
15. 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
16. 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
1983
17. 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
1982
18. 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

2014
19. 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
20. 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. 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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