Grigor'yan Alexander Asaturovich

Publications in Math-Net.Ru

1. Hierarchical Schrödinger Operators with Singular Potentials
   
   Trudy Mat. Inst. Steklova, 323 (2023),  17–52
2. Homology of Digraphs
   
   Mat. Zametki, 109:5 (2021),  705–722
3. Dimension of spaces of solutions of the Schrodinger equation on noncompact riemannian manifolds
   
   Mathematical Physics and Computer Simulation, 20:3 (2017),  34–42
4. Path complexes and their homologies
   
   Fundam. Prikl. Mat., 21:5 (2016),  79–128
5. On a class of random perturbations of the hierarchical Laplacian
   
   Izv. RAN. Ser. Mat., 79:5 (2015),  3–38
6. Upper bounds of heat kernels on doubling spaces
   
   Mosc. Math. J., 14:3 (2014),  505–563
7. Isotropic Markov semigroups on ultra-metric spaces
   
   Uspekhi Mat. Nauk, 69:4(418) (2014),  3–102
8. The heat equation on noncompact Riemannian manifolds
   
   Mat. Sb., 182:1 (1991),  55–87
9. Dimension of spaces of harmonic functions
   
   Mat. Zametki, 48:5 (1990),  55–61
10. Stochastically complete manifolds and summable harmonic functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 52:5 (1988),  1102–1108
11. 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
12. The Liouville theorems and exterior boundary value problems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 5,  25–33
13. 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
14. Fundamental solution of the heat equation on an arbitrary Riemannian manifold
    
    Mat. Zametki, 41:5 (1987),  687–692
15. On Liouville theorems for harmonic functions with finite Dirichlet integral
    
    Mat. Sb. (N.S.), 132(174):4 (1987),  496–516
16. Stochastically complete manifolds
    
    Dokl. Akad. Nauk SSSR, 290:3 (1986),  534–537
17. Isoperimetric inequalities for Riemannian products
    
    Mat. Zametki, 38:4 (1985),  617–626
18. 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
19. On the existence of a Green's function on a manifold
    
    Uspekhi Mat. Nauk, 38:1(229) (1983),  161–162
20. A Liouville theorem on a manifold
    
    Uspekhi Mat. Nauk, 37:3(225) (1982),  181–182


21. Vladimir Mikhailovich Miklyukov (obituary)
    
    Uspekhi Mat. Nauk, 69:3(417) (2014),  173–176
22. Nikolai Nadirashvili
    
    Mosc. Math. J., 5:4 (2005),  969–970