Alexander Grigoryan
PEVZ-ID
44 Publikationen
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2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001622Upper bounds for solutions of Leibenson's equation on Riemannian manifoldsPUB | DOI | WoS
Grigoryan, Alexander, Upper bounds for solutions of Leibenson's equation on Riemannian manifolds. Journal of Functional Analysis 288 (10). , 2025 -
2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001620Finite propagation speed for Leibenson's equation on Riemannian manifoldsPUB | DOI | WoS
Grigoryan, Alexander, Finite propagation speed for Leibenson's equation on Riemannian manifolds. Communications in Analysis and Geometry 32 (9). , 2024 -
2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988955Analytic and Reidemeister torsions of digraphs and path complexesPUB | DOI | WoS
Grigoryan, Alexander, Analytic and Reidemeister torsions of digraphs and path complexes. Pure and Applied Mathematics Quarterly 20 (2). , 2024 -
2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2993066Off-diagonal lower estimates and Hölder regularity of the heat kernelPUB | DOI | WoS
Grigoryan, Alexander, Off-diagonal lower estimates and Hölder regularity of the heat kernel. Asian Journal of Mathematics 27 (5). , 2023 -
2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987948Hierarchical Schrödinger Operators with Singular PotentialsPUB | DOI | WoS
Bendikov, Alexander, Hierarchical Schrödinger Operators with Singular Potentials. Proceedings of the Steklov Institute of Mathematics 323 (1). , 2023 -
2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984893Analysis on Ultra-Metric Spaces via Heat KernelsPUB | DOI | WoS
Grigoryan, Alexander, Analysis on Ultra-Metric Spaces via Heat Kernels. P-Adic Numbers, Ultrametric Analysis, and Applications 15 (3). , 2023 -
2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2983164Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spacesPUB | DOI | WoS
Grigoryan, Alexander, Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces. Mathematische Annalen (). , 2023 -
2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979994On homology theories of cubical digraphsPUB | DOI | WoS
Grigoryan, Alexander, On homology theories of cubical digraphs. Pacific Journal of Mathematics 322 (1). , 2023 -
2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2979258Poincare constant on manifolds with endsPUB | DOI | WoS
Grigoryan, Alexander, Poincare constant on manifolds with ends. Proceedings of the London Mathematical Society (). , 2023 -
2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966347
Discrete Tori and Trigonometric SumsPUB | PDF | DOI | WoS
Grigoryan, Alexander, Discrete Tori and Trigonometric Sums. Journal of Geometric Analysis 32 (12). , 2022 -
2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966348
Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an EndPUB | PDF | DOI | WoS
Grigoryan, Alexander, Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End. Potential Analysis (). , 2022 -
2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967385Heat kernels and Besov spaces on metric measure spacesPUB | DOI | WoS
Cao, Jun, Heat kernels and Besov spaces on metric measure spaces. Journal d'Analyse Mathématique (). , 2022 -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958909Heat kernels and non-local Dirichlet forms on ultrametric spacesPUB | DOI | WoS
Bendikov, Alexander, Heat kernels and non-local Dirichlet forms on ultrametric spaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22 (1). , 2021 -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956282Homology of DigraphsPUB | DOI | WoS
Grigoryan, Alexander, Homology of Digraphs. Mathematical Notes volume 109 (5-6). , 2021 -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955091Hardy's inequality and Green function on metric measure spacesPUB | DOI | WoS
Cao, Jun, Hardy's inequality and Green function on metric measure spaces. Journal of Functional Analysis 281 (3). , 2021 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946515Pointwise estimates of solutions to nonlinear equations for nonlocal operatorsPUB | WoS
Grigoryan, Alexander, Pointwise estimates of solutions to nonlinear equations for nonlocal operators. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 20 (2). , 2020 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941897Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic OperatorsPUB | DOI | WoS
Cao, Jun, Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 26 (1). , 2020 -
2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2941868Sup erlinear elliptic inequalities on manifoldsPUB | DOI | WoS
Grigoryan, Alexander, Sup erlinear elliptic inequalities on manifolds. JOURNAL OF FUNCTIONAL ANALYSIS 278 (9). , 2020 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939175Homology of path complexes and hypergraphsPUB | DOI | WoS
Grigoryan, Alexander, Homology of path complexes and hypergraphs. TOPOLOGY AND ITS APPLICATIONS 267 (). , 2019 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939165On positive solutions of semi-linear elliptic inequalities on Riemannian manifoldsPUB | DOI | WoS
Grigoryan, Alexander, On positive solutions of semi-linear elliptic inequalities on Riemannian manifolds. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 58 (6). , 2019 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939198On biparabolicity of Riemannian manifoldsPUB | DOI | WoS
Faraji, Shokoufe, On biparabolicity of Riemannian manifolds. REVISTA MATEMATICA IBEROAMERICANA 35 (7). , 2019 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937859LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPETPUB | DOI | WoS
Grigoryan, Alexander, LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPET. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 372 (6). , 2019 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935586Pointwise estimates of solutions to semilinear elliptic equations and inequalitiesPUB | DOI | WoS
Grigoryan, Alexander, Pointwise estimates of solutions to semilinear elliptic equations and inequalities. JOURNAL D ANALYSE MATHEMATIQUE 137 (2). , 2019 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932011Determination of the walk dimension of the Sierpinski gasket without using diffusionPUB | DOI | WoS
Grigoryan, Alexander, Determination of the walk dimension of the Sierpinski gasket without using diffusion. JOURNAL OF FRACTAL GEOMETRY 5 (4). , 2018 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931989Pointwise estimates for heat kernels of convolution-type operatorsPUB | DOI | WoS
Grigoryan, Alexander, Pointwise estimates for heat kernels of convolution-type operators. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 117 (4). , 2018 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931240Path homology theory of multigraphs and quiversPUB | DOI | WoS
Grigoryan, Alexander, Path homology theory of multigraphs and quivers. FORUM MATHEMATICUM 30 (5). , 2018 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919309Fundamental groupoids of digraphs and graphs\PUB | DOI | WoS
Grigoryan, Alexander, Fundamental groupoids of digraphs and graphs\. CZECHOSLOVAK MATHEMATICAL JOURNAL 68 (1). , 2018 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920323Heat kernel estimates on connected sums of parabolic manifoldsPUB | DOI | WoS
Grigoryan, Alexander, Heat kernel estimates on connected sums of parabolic manifolds. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 113 (). , 2018 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920307Two-sided estimates of heat kernels of jump type Dirichlet formsPUB | DOI | WoS
Grigoryan, Alexander, Two-sided estimates of heat kernels of jump type Dirichlet forms. ADVANCES IN MATHEMATICS 330 (). , 2018 -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919064Heat kernel estimates for an operator with a singular drift and isoperimetric inequalitiesPUB | DOI | WoS
Grigoryan, Alexander, Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 736 (736). , 2018 -
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911005Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spacesPUB | DOI | WoS
Grigoryan, Alexander, Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces. JOURNAL OF FUNCTIONAL ANALYSIS 272 (8). , 2017 -
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907710LOCALIZED UPPER BOUNDS OF HEAT KERNELS FOR DIFFUSIONS VIA A MULTIPLE DYNKIN-HUNT FORMULAPUB | DOI | WoS
Grigoryan, Alexander, LOCALIZED UPPER BOUNDS OF HEAT KERNELS FOR DIFFUSIONS VIA A MULTIPLE DYNKIN-HUNT FORMULA. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 369 (2). , 2017 -
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917158A LOWER BOUND FOR THE NUMBER OF NEGATIVE EIGENVALUES OF SCHRODINGER OPERATORSPUB | WoS
Grigoryan, Alexander, A LOWER BOUND FOR THE NUMBER OF NEGATIVE EIGENVALUES OF SCHRODINGER OPERATORS. JOURNAL OF DIFFERENTIAL GEOMETRY 102 (3). , 2016 -
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901218Cohomology of digraphs and (undirected) graphsPUB | DOI | WoS
Grigoryan, Alexander, Cohomology of digraphs and (undirected) graphs. Asian Journal of Mathematics 19 (5). , 2015 -
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901225Generalized capacity, harnack inequality and heat kernels of dirichlet forms on metric measure spacesPUB | DOI | WoS
Grigoryan, Alexander, Generalized capacity, harnack inequality and heat kernels of dirichlet forms on metric measure spaces. Journal of the Mathematical Society of Japan 67 (4). , 2015 -
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684291Heat Kernels and Green Functions on Metric Measure SpacesPUB | DOI | WoS
Grigoryan, Alexander, Heat Kernels and Green Functions on Metric Measure Spaces. Canadian Journal of Mathematics 66 (3). , 2014 -
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2710500ESTIMATES OF HEAT KERNELS FOR NON-LOCAL REGULAR DIRICHLET FORMSPUB | DOI | WoS
Grigoryan, Alexander, ESTIMATES OF HEAT KERNELS FOR NON-LOCAL REGULAR DIRICHLET FORMS. Transactions of the American Mathematical Society 366 (12). , 2014 -
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548614On the equivalence of parabolic Harnack inequalities and heat kernel estimatesPUB | DOI | WoS
Barlow, Martin T., On the equivalence of parabolic Harnack inequalities and heat kernel estimates. Journal Of The Mathematical Society Of Japan 64 (4). , 2012 -
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2510017TWO-SIDED ESTIMATES OF HEAT KERNELS ON METRIC MEASURE SPACESPUB | DOI | WoS
Grigoryan, Alexander, TWO-SIDED ESTIMATES OF HEAT KERNELS ON METRIC MEASURE SPACES. The Annals of Probability 40 (3). , 2012 -
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794066Comparison inequalities for heat semigroups and heat kernels on metric measure spacesPUB | DOI | WoS
Grigoryan, Alexander, Comparison inequalities for heat semigroups and heat kernels on metric measure spaces. Journal of Functional Analysis 259 (10). , 2010 -
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635534Heat kernel upper bounds for jump processes and the first exit timePUB | DOI | WoS
Barlow, Martin T., Heat kernel upper bounds for jump processes and the first exit time. JOURNAL FUER DIE REINE UND ANGEWANDTE MATHEMATIK 626 (). , 2009 -
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588020Lower estimates for a perturbed Green functionPUB | DOI | WoS
Grigoryan, Alexander, Lower estimates for a perturbed Green function. Journal d'Analyse Mathématique 104 (1). , 2008 -
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586597Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spacesPUB | DOI | WoS
Grigoryan, Alexander, Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces. INVENTIONES MATHEMATICAE 174 (1). , 2008 -
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916772INTEGRAL MAXIMUM PRINCIPLE AND ITS APPLICATIONSPUB | DOI | WoS
Grigoryan, Alexander, INTEGRAL MAXIMUM PRINCIPLE AND ITS APPLICATIONS. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 124 (). , 1994