Монографии |
| 1 | Григорьян А.А. Heat Kernel and Analysis on Manifolds. New York: International Press, 2009. – 498 с. | 2009 |
Брошюры |
| 2 | Григорьян А.А., Муранов Ю.?. Differential calculus on algebras and graphs. Bielefeld: University of Bielefeld, Germany, 2012. – 59 с. | 2012 |
| 3 | Григорьян А.А., Hu J., Lau K.-S. Estimates Of Heat Kernels For Non-Local Regular Dirichlet Forms. Bielefeld: University of Bielefeld, 2011. – 39 с. | 2011 |
| 4 | Григорьян А.А. Negative eigenvalues of two-dimensional Schrödinger operators. Bielefeld: University of Bielefeld, 2011. – 40 с. | 2011 |
| 5 | Григорьян А.А. Upper Bounds of Heat Kernels on Doubling Spaces. Препринт. Bielefeld: University of Bielefeld, 2009. – 54 с. | 2009 |
| 6 | Григорьян А.А. Heat Kernel on Manifolds With Ends. Препринт. Bielefeld: University of Bielefeld, 2007. – 61 с. | 2007 |
| 7 | Barlow M. T., Григорьян А.А., Kumagai T. Heat Kernel Upper Bounds for Jump Processes. Препринт. Bielefeld: University of Bielefeld, 2006. – 21 с. | 2006 |
Статьи в журналах/сборниках из перечня Web of Science/Scopus |
| 8 | Cao J., Григорьян А.А. Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators // Journal of Fourier Analysis and Applications. 2020. Vol. 26, Iss. 1. С. 1-52 https://link.springer.com/article/10.1007/s00041-019-09708-7. | 2020 |
| 9 | Григорьян А.А., Lin Y., Muranov Y.?., Yau S.-T. Path complexes and their homologies // Journal of Mathematical Sciences. 2020. Vol. 248, №. 5. С. 564-599 . | 2020 |
| 10 | Григорьян А.А., Verbitsky I.?. Pointwise estimates of solutions to nonlinear equations for nonlocal operators // Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze. 2020. Vol. 20, Iss. 2. С. 721-750. | 2020 |
| 11 | Faraji S., Григорьян А.А. On biparabolicity of Riemannian manifolds // Revista Matemática Iberoamericana. 2019. Vol. 35, № 7. С. 2025–2034. | 2019 |
| 12 | Григорьян А.А., Муранов Ю.?., Вершинин В., Yau S.-T. Path homology theory of multigraphs and quivers // Forum Mathematicum. 2018. Vol. 30, Iss. 5. С. 1319-1337. | 2018 |
| 13 | Григорьян А.А., Хименес Р., Muranov Y.?., Yau S.-T. On the path homology theory of digraphs and Eilenberg-Steenrod axioms // Homology, Homotopy and Applications. 2018. Vol. 20, № 2. С. 179–205. | 2018 |
| 14 | Григорьян А.А., Лин Й., Муранов Ю.В., Яу Ш. Комплексы путей и их гомологии // Фундаментальная и прикладная математика. 2016. Т. 21, вып. 5. С. 79-128. | 2016 |
| 15 | Bendikov A., Григорьян А.А., Molchanov S., Samorodnitsky G. On a class of random perturbations of the hierarchical Laplacian // Izvestiya: Mathematics. 2015. Vol. 79, № 5. С. 859-893. | 2015 |
| 16 | Григорьян А.А., Hu J., Lau K.-S. Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces // Journal of the Mathematical Society of Japan. 2015. vol. 67, № 4. С. 1485-1549. | 2015 |
| 17 | Григорьян А.А., Lin Y.?., Muranov Y.?., Yau S.-T.?. Cohomology of digraphs and (undirected) graphs // The Asian Journal of Mathematics. 2015. Vol. 19, № 5. С. 887-932. | 2015 |
| 18 | Григорьян А.А., Liu L. Heat kernel and Lipschitz–Besov spaces // Forum Mathematicum. 2015. Vol. 27, № 6. С. 3567-3614. | 2015 |
| 19 | Григорьян А.А., Nadirashvili N.?. Negative eigenvalues of two-dimensional Schrödinger operators // Archive for Rational Mechanics and Analysis. 2015. vol. 217, № 3. С. 975-1028. | 2015 |
| 20 | Bendikov A., Григорьян А.А., Pittet C., Woess W. Isotropic Markov semigroups on ultra-metric spaces // Russian Mathematical Surveys. 2014. Т. 69, № 4. С. 3-102. | 2014 |
| 21 | Григорьян А.А., Hu J.?. Heat Kernels and Green Functions on Metric Measure Spaces // Canadian Journal of Mathematics. 2014. V. 66, № 3. С. 641-699. | 2014 |
| 22 | Григорьян А.А., Hu J., Lau K.-S. Estimates of heat kernels for non-local regular Dirichlet forms // Transactions of the American Mathematical Society. 2014. Vol. 366, № 12. С. 6397-6441. | 2014 |
| 23 | Григорьян А.А., Hu J.?. Upper bounds of heat kernels on doubling spaces // Moscow Mathematical Journal. 2014. Т. 14, № 3. С. 505–563. | 2014 |
| 24 | Григорьян А.А., Lin Y.?., Muranov Y.?., Yau S.-T.?. Homotopy theory for digraphs // Pure and Applied Mathematics Quarterly. 2014. Vol. 10, № 4. С. 619-674. | 2014 |
| 25 | Григорьян А.А. On non-negative solutions of the inequality ∆u+uσ≤0 on Riemannian manifolds // Communications on Pure and Applied Mathematics. 2014. Т. 67, № 8. С. 1336-1352. | 2014 |
| 26 | Григорьян А.А., Муранов Ю.?., Yau S.-T.?. Graphs associated with simplicial complexes // Homology, Homotopy and Applications. 2014. Vol. 16, № 1. С. 295-311. | 2014 |
| 27 | Григорьян А.А. Parabolicity and stochastic completeness of manifolds in terms of the Green formula // Journal des Mathématiques Pures et Appliquées. 2013. Vol. 100, № 5. С. 607-632. | 2013 |
| 28 | Barlow M. T., Григорьян А.А., Kumagai T. On the equivalence of parabolic Harnack inequalities and heat kernel estimates // Journal of the Mathematical Society of Japan. 2012. Т. 64, № 4. С. 1091 - 1146. | 2012 |
| 29 | Григорьян А.А. Hardy Inequality and Heat Semigroup Estimates for Riemannian Manifolds with Singular Data // Communications in Partial Differential Equations. 2012. vol. 37, № 5. С. 885-900. | 2012 |
| 30 | Григорьян А.А., Ishiwata S.?. Heat kernel estimateson a connected sum of two copies of Rn along a surface of revolution // Global and Stochastic Analysis. 2012. Т. 2, № 1. С. 29-65. | 2012 |
| 31 | Григорьян А.А. On a class of Markov semigroups on discrete ultra-metric spaces // Potential Analysis. 2012. Vol. 37, № 2. С. 125-169. | 2012 |
| 32 | Григорьян А.А. On stochastic completeness of jump processes // Mathematische Zeitschrift. 2012. Т. 271, № 3-4. С. 1211-1239. | 2012 |
| 33 | Григорьян А.А. Two-sided estimates of heat kernels on metric measure spaces // Annals of Probability. 2012. vol. 40, № 3. С. 1212-1284. | 2012 |
| 34 | Григорьян А.А. Comparison Inequalities for Heat Semigroups and Heat Kernels on Metric Measure Spaces // Journal of Functional Analysis. 2010. Vol. 259, № 10. С. 2613-2641. | 2010 |
| 35 | Григорьян А.А. Heat Kernels on Metric Spaces With Doubling Measure // Springer Lecture Notes in Computer Science. 2009. Vol. 61. С. 3-44. | 2009 |
| 36 | Григорьян А.А. Heat Kernel Upper Bounds for Jump Processes and the First Exist Time // Journal fur die reine und angewandte Mathematik. 2009. № 626. С. 135-158. | 2009 |
| 37 | Григорьян А.А., Saloff-Coste L. Heat Kernel on Manifolds With Ends // Annales de l’Institut Fourier. 2009. Vol. 59, № 5. С. 1917-1997. | 2009 |
| 38 | Григорьян А.А., Hansen W. Lower Estimates for a Perturbed Green Function // Journal D'Analyse Mathematique. 2008. Vol.104. С. 25-58. | 2008 |
| 39 | Григорьян А.А. Off-Diagonal Upper Estimates for the Heat Kernel of Dirichlet Forms on Metric Spaces // Inventiones Mathematicae. 2008. С. 81-126. | 2008 |
| 40 | Григорьян А.А. Heat Kernel Upper Bounds for Jump Process // Journal fur die reine und angewandte Mathematik. 2007. С. 20. | 2007 |
| 41 | Григорьян А.А. Heat Kernels on Weighted Manifolds and Applications // Contemporary Mathematics. 2006. С. 93-191. | 2006 |
| 42 | Григорьян А.А., Hu J. Equivalence Conditions for on-Diagonal Upper Bounds of Heat Kernels on Self-Similar Spaces // Journal of Functional Analysis. 2006. С. 427-455. | 2006 |
| 43 | Григорьян А.А., Saloff-Coste L. Stability Results for Harnack Inequalities // Annales de l’Institut Fourier. 2005. С. 825-890. | 2005 |
Статьи в журналах/сборниках из перечня ВАК |
| 44 | Григорьян А.А., Huang X.-P.?. Stochastic completeness of jump processes on metric measure spaces / Geometry and Analysis of Fractals. Heidelberg, Germany: Springer-Verlag GmbH, 2014. Vol. 88. С. 209-224. | 2014 |
| 45 | Григорьян А.А., Hu J., Lau K.-S. Heat kernels on metric measure spaces / Geometry and Analysis of Fractals. Heidelberg, Germany: Springer-Verlag GmbH, 2014. Vol. 88. С. 147-207. | 2014 |
| 46 | Григорьян А.А. On the Existence of Positive Solutions of Semi-Linear Elliptic Inequalities on Riemannian Manifolds // International Mathematical Series. 2010. Vol. 11-13. С. 203-218. | 2010 |
| 47 | Григорьян А.А., Hsu E. P. Volume Growth and Escape Rate of Brownian Motion on a Cartan-Hadamard Manifold // International Mathematical Series. 2009. Vol. 9. С. 209-225. | 2009 |
Статьи в журналах/сборниках |
| 48 | Григорьян А.А. Yau's Work on Heat Kernels // Advanced Lectures in Mathematics. 2010. С. 113-117. | 2010 |
| 49 | Григорьян А.А. Obtaining Upper Bounds of Heat Kernels From Lower Bounds // Commun pur appl math. 2008. С. 639-660. | 2008 |
| 50 | Григорьян А.А. Obtaining Upper Bounds of Heat Kernels From Lower Bounds for Jump Processes // Commun pur appl math. 2007. С. 22. | 2007 |
| 51 | Coulhon T., Григорьян А.А., Zucca F. The Discrete Integral Maximum Principle and Its Applications // Tohoku Journal Mathematical. 2005. С. 559-587. | 2005 |
Главы в книгах |
| 52 | Григорьян А.А. Heat Kernels on Metric Measure Spaces with Regular Volume Growth / Handbook of Geometric Analysis № 2. Boston: International Press, 2010. С. 1-60. | 2010 |
Доклады |
| 53 | Григорьян А.А. Stochastic completeness of symmetric Markov processes and volume growth / Proceedings of the 8th International Congress of the International Society for Analysis, its Applications and Computation (ISAAC 2011, Moscow). М.: Российский университет дружбы народов, 2011. С. 1-12. | 2011 |
| 54 | Григорьян А.А., Kumagai T. On the Dichotomy in the Heat Kernel Two Sided Estimates / . -: -, 2008. С. 12. | 2008 |
