Alexander Grigoryan

PEVZ-ID
171550

44 Publikationen

Alle markieren

  • [44]
    2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001622
    Grigoryan, Alexander, and Sürig, Philipp. “Upper bounds for solutions of Leibenson's equation on Riemannian manifolds”. Journal of Functional Analysis 288.10 (2025): 110878.
    PUB | DOI | WoS
     
  • [43]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001620
    Grigoryan, Alexander, and Sürig, Philipp. “Finite propagation speed for Leibenson's equation on Riemannian manifolds”. Communications in Analysis and Geometry 32.9 (2024): 2467-2504.
    PUB | DOI | WoS
     
  • [42]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988955
    Grigoryan, Alexander, Lin, Yong, and Yau, Shing-Tung. “Analytic and Reidemeister torsions of digraphs and path complexes”. Pure and Applied Mathematics Quarterly 20.2 (2024): 703-755.
    PUB | DOI | WoS
     
  • [41]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2993066
    Grigoryan, Alexander, Hu, Eryan, and Hu, Jiaxin. “Off-diagonal lower estimates and Hölder regularity of the heat kernel”. Asian Journal of Mathematics 27.5 (2023): 675 – 770.
    PUB | DOI | WoS
     
  • [40]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987948
    Bendikov, Alexander, Grigoryan, Alexander, and Molchanov, Stanislav. “Hierarchical Schrödinger Operators with Singular Potentials”. Proceedings of the Steklov Institute of Mathematics 323.1 (2023): 12-46.
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  • [39]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984893
    Grigoryan, Alexander. “Analysis on Ultra-Metric Spaces via Heat Kernels”. P-Adic Numbers, Ultrametric Analysis, and Applications 15.3 (2023): 204-242.
    PUB | DOI | WoS
     
  • [38]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2983164
    Grigoryan, Alexander, Hu, Eryan, and Hu, Jiaxin. “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
    Grigoryan, Alexander, and Muranov, Yuri. “On homology theories of cubical digraphs”. Pacific Journal of Mathematics 322.1 (2023): 39–58.
    PUB | DOI | WoS
     
  • [36]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2979258
    Grigoryan, Alexander, Ishiwata, Satoshi, and Saloff-Coste, Laurent. “Poincare constant on manifolds with ends”. Proceedings of the London Mathematical Society (2023).
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  • [35]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966347 OA
    Grigoryan, Alexander, Lin, Yong, and Yau, Shing-Tung. “Discrete Tori and Trigonometric Sums”. Journal of Geometric Analysis 32.12 (2022): 298.
    PUB | PDF | DOI | WoS
     
  • [34]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966348 OA
    Grigoryan, Alexander, and Sürig, Philipp. “Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End”. Potential Analysis (2022): 33 Seiten.
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  • [33]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967385
    Cao, Jun, and Grigoryan, Alexander. “Heat kernels and Besov spaces on metric measure spaces”. Journal d'Analyse Mathématique (2022).
    PUB | DOI | WoS
     
  • [32]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958909
    Bendikov, Alexander, Grigoryan, Alexander, Hu, Eryan, and Hu, Jiaxin. “Heat kernels and non-local Dirichlet forms on ultrametric spaces”. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.1 (2021): 399-461.
    PUB | DOI | WoS
     
  • [31]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956282
    Grigoryan, Alexander, Muranov, Yu. V., and Jimenez, R. “Homology of Digraphs”. Mathematical Notes volume 109.5-6 (2021): 712-726.
    PUB | DOI | WoS
     
  • [30]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955091
    Cao, Jun, Grigoryan, Alexander, and Liu, Liguang. “Hardy's inequality and Green function on metric measure spaces”. Journal of Functional Analysis 281.3 (2021): 109020.
    PUB | DOI | WoS
     
  • [29]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946515
    Grigoryan, Alexander, and Verbitsky, Igor. “Pointwise estimates of solutions to nonlinear equations for nonlocal operators”. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 20.2 (2020): 721-750.
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  • [28]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941897
    Cao, Jun, and Grigoryan, Alexander. “Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators”. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 26.1 (2020): 3.
    PUB | DOI | WoS
     
  • [27]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2941868
    Grigoryan, Alexander, Sun, Yuhua, and Verbitsky, Igor. “Sup erlinear elliptic inequalities on manifolds”. JOURNAL OF FUNCTIONAL ANALYSIS 278.9 (2020): UNSP 108444.
    PUB | DOI | WoS
     
  • [26]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939175
    Grigoryan, Alexander, Jimenez, Rolando, Muranov, Yuri, and Yau, Shing-Tung. “Homology of path complexes and hypergraphs”. TOPOLOGY AND ITS APPLICATIONS 267 (2019): UNSP 106877.
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  • [25]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939165
    Grigoryan, Alexander, and Sun, Yuhua. “On positive solutions of semi-linear elliptic inequalities on Riemannian manifolds”. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 58.6 (2019): 207.
    PUB | DOI | WoS
     
  • [24]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939198
    Faraji, Shokoufe, and Grigoryan, Alexander. “On biparabolicity of Riemannian manifolds”. REVISTA MATEMATICA IBEROAMERICANA 35.7 (2019): 2025-2034.
    PUB | DOI | WoS
     
  • [23]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937859
    Grigoryan, Alexander, and Yang, Meng. “LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPET”. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 372.6 (2019): 3985-4030.
    PUB | DOI | WoS
     
  • [22]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935586
    Grigoryan, Alexander, and Verbitsky, Igor. “Pointwise estimates of solutions to semilinear elliptic equations and inequalities”. JOURNAL D ANALYSE MATHEMATIQUE 137.2 (2019): 559-601.
    PUB | DOI | WoS
     
  • [21]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932011
    Grigoryan, Alexander, and Yang, Meng. “Determination of the walk dimension of the Sierpinski gasket without using diffusion”. JOURNAL OF FRACTAL GEOMETRY 5.4 (2018): 419-460.
    PUB | DOI | WoS
     
  • [20]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931989
    Grigoryan, Alexander, Kondratiev, Yuri, Piatnitski, Andrey, and Zhizhina, Elena. “Pointwise estimates for heat kernels of convolution-type operators”. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 117.4 (2018): 849-880.
    PUB | DOI | WoS
     
  • [19]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931240
    Grigoryan, Alexander, Muranov, Yuri, Vershinin, Vladimir, and Yau, Shing-Tung. “Path homology theory of multigraphs and quivers”. FORUM MATHEMATICUM 30.5 (2018): 1319-1337.
    PUB | DOI | WoS
     
  • [18]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919309
    Grigoryan, Alexander, Jimenez, Rolando, and Muranov, Yuri. “Fundamental groupoids of digraphs and graphs\”. CZECHOSLOVAK MATHEMATICAL JOURNAL 68.1 (2018): 35-65.
    PUB | DOI | WoS
     
  • [17]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920323
    Grigoryan, Alexander, Ishiwata, Satoshi, and Saloff-Coste, Laurent. “Heat kernel estimates on connected sums of parabolic manifolds”. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 113 (2018): 155-194.
    PUB | DOI | WoS
     
  • [16]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920307
    Grigoryan, Alexander, Hu, Eryan, and Hu, Jiaxin. “Two-sided estimates of heat kernels of jump type Dirichlet forms”. ADVANCES IN MATHEMATICS 330 (2018): 433-515.
    PUB | DOI | WoS
     
  • [15]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919064
    Grigoryan, Alexander, Ouyang, Shunxiang, and Röckner, Michael. “Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities”. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 736.736 (2018): 1-31.
    PUB | DOI | WoS
     
  • [14]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911005
    Grigoryan, Alexander, Hu, Eryan, and Hu, Jiaxin. “Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces”. JOURNAL OF FUNCTIONAL ANALYSIS 272.8 (2017): 3311-3346.
    PUB | DOI | WoS
     
  • [13]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907710
    Grigoryan, Alexander, and Kajino, Naotaka. “LOCALIZED UPPER BOUNDS OF HEAT KERNELS FOR DIFFUSIONS VIA A MULTIPLE DYNKIN-HUNT FORMULA”. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 369.2 (2017): 1025-1060.
    PUB | DOI | WoS
     
  • [12]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917158
    Grigoryan, Alexander, Nadirashvili, Nikolai, and Sire, Yannick. “A LOWER BOUND FOR THE NUMBER OF NEGATIVE EIGENVALUES OF SCHRODINGER OPERATORS”. JOURNAL OF DIFFERENTIAL GEOMETRY 102.3 (2016): 395-408.
    PUB | WoS
     
  • [11]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901218
    Grigoryan, Alexander, Lin, Yong, Muranov, Yuri, and Yau, Shing-Tung. “Cohomology of digraphs and (undirected) graphs”. Asian Journal of Mathematics 19.5 (2015): 887-932.
    PUB | DOI | WoS
     
  • [10]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901225
    Grigoryan, Alexander, Hu, Jiaxin, and Lau, Ka-Sing. “Generalized capacity, harnack inequality and heat kernels of dirichlet forms on metric measure spaces”. Journal of the Mathematical Society of Japan 67.4 (2015): 1485-1549.
    PUB | DOI | WoS
     
  • [9]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684291
    Grigoryan, Alexander, and Hu, Jiaxin. “Heat Kernels and Green Functions on Metric Measure Spaces”. Canadian Journal of Mathematics 66.3 (2014): 641-699.
    PUB | DOI | WoS
     
  • [8]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2710500
    Grigoryan, Alexander, Hu, Jiaxin, and Lau, Ka-Sing. “ESTIMATES OF HEAT KERNELS FOR NON-LOCAL REGULAR DIRICHLET FORMS”. Transactions of the American Mathematical Society 366.12 (2014): 6397-6441.
    PUB | DOI | WoS
     
  • [7]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548614
    Barlow, Martin T., Grigoryan, Alexander, and Kumagai, Takashi. “On the equivalence of parabolic Harnack inequalities and heat kernel estimates”. Journal Of The Mathematical Society Of Japan 64.4 (2012): 1091-1146.
    PUB | DOI | WoS
     
  • [6]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2510017
    Grigoryan, Alexander, and Telcs, Andras. “TWO-SIDED ESTIMATES OF HEAT KERNELS ON METRIC MEASURE SPACES”. The Annals of Probability 40.3 (2012): 1212-1284.
    PUB | DOI | WoS
     
  • [5]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794066
    Grigoryan, Alexander, Hu, Jiaxin, and Lau, Ka-Sing. “Comparison inequalities for heat semigroups and heat kernels on metric measure spaces”. Journal of Functional Analysis 259.10 (2010): 2613-2641.
    PUB | DOI | WoS
     
  • [4]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635534
    Barlow, Martin T., Grigoryan, Alexander, and Kumagai, Takashi. “Heat kernel upper bounds for jump processes and the first exit time”. JOURNAL FUER DIE REINE UND ANGEWANDTE MATHEMATIK 626 (2009): 135-157.
    PUB | DOI | WoS
     
  • [3]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588020
    Grigoryan, Alexander, and Hansen, Wolfhard. “Lower estimates for a perturbed Green function”. Journal d'Analyse Mathématique 104.1 (2008): 25-58.
    PUB | DOI | WoS
     
  • [2]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586597
    Grigoryan, Alexander, and Hu, Jiaxin. “Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces”. INVENTIONES MATHEMATICAE 174.1 (2008): 81-126.
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  • [1]
    1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916772
    Grigoryan, Alexander. “INTEGRAL MAXIMUM PRINCIPLE AND ITS APPLICATIONS”. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 124 (1994): 353-362.
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