Alexander Grigoryan

PEVZ-ID
171550

40 Publikationen

Alle markieren

  • [40]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987948
    A. Bendikov, A. Grigoryan, and S. Molchanov, “Hierarchical Schrödinger Operators with Singular Potentials”, Proceedings of the Steklov Institute of Mathematics, vol. 323, 2023, pp. 12-46.
    PUB | DOI | WoS
     
  • [39]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984893
    A. Grigoryan, “Analysis on Ultra-Metric Spaces via Heat Kernels”, P-Adic Numbers, Ultrametric Analysis, and Applications , vol. 15, 2023, pp. 204-242.
    PUB | DOI | WoS
     
  • [38]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2983164
    A. Grigoryan, E. Hu, and J. Hu, “Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces”, Mathematische Annalen , 2023.
    PUB | DOI | WoS
     
  • [37]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979994
    A. Grigoryan and Y. Muranov, “On homology theories of cubical digraphs”, Pacific Journal of Mathematics, vol. 322, 2023, pp. 39–58.
    PUB | DOI | WoS
     
  • [36]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2979258
    A. Grigoryan, S. Ishiwata, and L. Saloff-Coste, “Poincare constant on manifolds with ends”, Proceedings of the London Mathematical Society , 2023.
    PUB | DOI | WoS
     
  • [35]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966348 OA
    A. Grigoryan and P. Sürig, “Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End”, Potential Analysis, 2022, pp. 33 Seiten.
    PUB | PDF | DOI | WoS
     
  • [34]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966347 OA
    A. Grigoryan, Y. Lin, and S.-T. Yau, “Discrete Tori and Trigonometric Sums”, Journal of Geometric Analysis, vol. 32, 2022, : 298.
    PUB | PDF | DOI | WoS
     
  • [33]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967385
    J. Cao and A. Grigoryan, “Heat kernels and Besov spaces on metric measure spaces”, Journal d'Analyse Mathématique , 2022.
    PUB | DOI | WoS
     
  • [32]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958909
    A. Bendikov, et al., “Heat kernels and non-local Dirichlet forms on ultrametric spaces”, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, vol. 22, 2021, pp. 399-461.
    PUB | DOI | WoS
     
  • [31]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956282
    A. Grigoryan, Y.V. Muranov, and R. Jimenez, “Homology of Digraphs”, Mathematical Notes volume, vol. 109, 2021, pp. 712-726.
    PUB | DOI | WoS
     
  • [30]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955091
    J. Cao, A. Grigoryan, and L. Liu, “Hardy's inequality and Green function on metric measure spaces”, Journal of Functional Analysis, vol. 281, 2021, : 109020.
    PUB | DOI | WoS
     
  • [29]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946515
    A. Grigoryan and I. Verbitsky, “Pointwise estimates of solutions to nonlinear equations for nonlocal operators”, ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, vol. 20, 2020, pp. 721-750.
    PUB | WoS
     
  • [28]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941897
    J. Cao and A. Grigoryan, “Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators”, JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, vol. 26, 2020, : 3.
    PUB | DOI | WoS
     
  • [27]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2941868
    A. Grigoryan, Y. Sun, and I. Verbitsky, “Sup erlinear elliptic inequalities on manifolds”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 278, 2020, : UNSP 108444.
    PUB | DOI | WoS
     
  • [26]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939175
    A. Grigoryan, et al., “Homology of path complexes and hypergraphs”, TOPOLOGY AND ITS APPLICATIONS, vol. 267, 2019, : UNSP 106877.
    PUB | DOI | WoS
     
  • [25]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939165
    A. Grigoryan and Y. Sun, “On positive solutions of semi-linear elliptic inequalities on Riemannian manifolds”, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, vol. 58, 2019, : 207.
    PUB | DOI | WoS
     
  • [24]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939198
    S. Faraji and A. Grigoryan, “On biparabolicity of Riemannian manifolds”, REVISTA MATEMATICA IBEROAMERICANA, vol. 35, 2019, pp. 2025-2034.
    PUB | DOI | WoS
     
  • [23]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937859
    A. Grigoryan and M. Yang, “LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPET”, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 372, 2019, pp. 3985-4030.
    PUB | DOI | WoS
     
  • [22]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935586
    A. Grigoryan and I. Verbitsky, “Pointwise estimates of solutions to semilinear elliptic equations and inequalities”, JOURNAL D ANALYSE MATHEMATIQUE, vol. 137, 2019, pp. 559-601.
    PUB | DOI | WoS
     
  • [21]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932011
    A. Grigoryan and M. Yang, “Determination of the walk dimension of the Sierpinski gasket without using diffusion”, JOURNAL OF FRACTAL GEOMETRY, vol. 5, 2018, pp. 419-460.
    PUB | DOI | WoS
     
  • [20]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931989
    A. Grigoryan, et al., “Pointwise estimates for heat kernels of convolution-type operators”, PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, vol. 117, 2018, pp. 849-880.
    PUB | DOI | WoS
     
  • [19]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931240
    A. Grigoryan, et al., “Path homology theory of multigraphs and quivers”, FORUM MATHEMATICUM, vol. 30, 2018, pp. 1319-1337.
    PUB | DOI | WoS
     
  • [18]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919309
    A. Grigoryan, R. Jimenez, and Y. Muranov, “Fundamental groupoids of digraphs and graphs\”, CZECHOSLOVAK MATHEMATICAL JOURNAL, vol. 68, 2018, pp. 35-65.
    PUB | DOI | WoS
     
  • [17]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920323
    A. Grigoryan, S. Ishiwata, and L. Saloff-Coste, “Heat kernel estimates on connected sums of parabolic manifolds”, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, vol. 113, 2018, pp. 155-194.
    PUB | DOI | WoS
     
  • [16]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920307
    A. Grigoryan, E. Hu, and J. Hu, “Two-sided estimates of heat kernels of jump type Dirichlet forms”, ADVANCES IN MATHEMATICS, vol. 330, 2018, pp. 433-515.
    PUB | DOI | WoS
     
  • [15]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919064
    A. Grigoryan, S. Ouyang, and M. Röckner, “Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities”, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, vol. 736, 2018, pp. 1-31.
    PUB | DOI | WoS
     
  • [14]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911005
    A. Grigoryan, E. Hu, and J. Hu, “Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 272, 2017, pp. 3311-3346.
    PUB | DOI | WoS
     
  • [13]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907710
    A. Grigoryan and N. Kajino, “LOCALIZED UPPER BOUNDS OF HEAT KERNELS FOR DIFFUSIONS VIA A MULTIPLE DYNKIN-HUNT FORMULA”, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 369, 2017, pp. 1025-1060.
    PUB | DOI | WoS
     
  • [12]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917158
    A. Grigoryan, N. Nadirashvili, and Y. Sire, “A LOWER BOUND FOR THE NUMBER OF NEGATIVE EIGENVALUES OF SCHRODINGER OPERATORS”, JOURNAL OF DIFFERENTIAL GEOMETRY, vol. 102, 2016, pp. 395-408.
    PUB | WoS
     
  • [11]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901218
    A. Grigoryan, et al., “Cohomology of digraphs and (undirected) graphs”, Asian Journal of Mathematics, vol. 19, 2015, pp. 887-932.
    PUB | DOI | WoS
     
  • [10]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901225
    A. Grigoryan, J. Hu, and K.-S. Lau, “Generalized capacity, harnack inequality and heat kernels of dirichlet forms on metric measure spaces”, Journal of the Mathematical Society of Japan, vol. 67, 2015, pp. 1485-1549.
    PUB | DOI | WoS
     
  • [9]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684291
    A. Grigoryan and J. Hu, “Heat Kernels and Green Functions on Metric Measure Spaces”, Canadian Journal of Mathematics, vol. 66, 2014, pp. 641-699.
    PUB | DOI | WoS
     
  • [8]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2710500
    A. Grigoryan, J. Hu, and K.-S. Lau, “ESTIMATES OF HEAT KERNELS FOR NON-LOCAL REGULAR DIRICHLET FORMS”, Transactions of the American Mathematical Society, vol. 366, 2014, pp. 6397-6441.
    PUB | DOI | WoS
     
  • [7]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548614
    M.T. Barlow, A. Grigoryan, and T. Kumagai, “On the equivalence of parabolic Harnack inequalities and heat kernel estimates”, Journal Of The Mathematical Society Of Japan, vol. 64, 2012, pp. 1091-1146.
    PUB | DOI | WoS
     
  • [6]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2510017
    A. Grigoryan and A. Telcs, “TWO-SIDED ESTIMATES OF HEAT KERNELS ON METRIC MEASURE SPACES”, The Annals of Probability, vol. 40, 2012, pp. 1212-1284.
    PUB | DOI | WoS
     
  • [5]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794066
    A. Grigoryan, J. Hu, and K.-S. Lau, “Comparison inequalities for heat semigroups and heat kernels on metric measure spaces”, Journal of Functional Analysis, vol. 259, 2010, pp. 2613-2641.
    PUB | DOI | WoS
     
  • [4]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635534
    M.T. Barlow, A. Grigoryan, and T. Kumagai, “Heat kernel upper bounds for jump processes and the first exit time”, JOURNAL FUER DIE REINE UND ANGEWANDTE MATHEMATIK, vol. 626, 2009, pp. 135-157.
    PUB | DOI | WoS
     
  • [3]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588020
    A. Grigoryan and W. Hansen, “Lower estimates for a perturbed Green function”, Journal d'Analyse Mathématique, vol. 104, 2008, pp. 25-58.
    PUB | DOI | WoS
     
  • [2]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586597
    A. Grigoryan and J. Hu, “Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces”, INVENTIONES MATHEMATICAE, vol. 174, 2008, pp. 81-126.
    PUB | DOI | WoS
     
  • [1]
    1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916772
    A. Grigoryan, “INTEGRAL MAXIMUM PRINCIPLE AND ITS APPLICATIONS”, PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, vol. 124, 1994, pp. 353-362.
    PUB | DOI | WoS
     
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