PUB - Publikationen an der Universität Bielefeld

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• [44]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001622

  Grigoryan, A., and Sürig, P. (2025). Upper bounds for solutions of Leibenson's equation on Riemannian manifolds. Journal of Functional Analysis 288:110878.

  PUB | DOI | WoS
   
• [43]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001620

  Grigoryan, A., and Sürig, P. (2024). Finite propagation speed for Leibenson's equation on Riemannian manifolds. Communications in Analysis and Geometry 32, 2467-2504.

  PUB | DOI | WoS
   
• [42]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988955

  Grigoryan, A., Lin, Y., and Yau, S. - T. (2024). Analytic and Reidemeister torsions of digraphs and path complexes. Pure and Applied Mathematics Quarterly 20, 703-755.

  PUB | DOI | WoS
   
• [41]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2993066

  Grigoryan, A., Hu, E., and Hu, J. (2023). Off-diagonal lower estimates and Hölder regularity of the heat kernel. Asian Journal of Mathematics 27, 675 – 770.

  PUB | DOI | WoS
   
• [40]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987948

  Bendikov, A., Grigoryan, A., and Molchanov, S. (2023). Hierarchical Schrödinger Operators with Singular Potentials. Proceedings of the Steklov Institute of Mathematics 323, 12-46.

  PUB | DOI | WoS
   
• [39]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984893

  Grigoryan, A. (2023). Analysis on Ultra-Metric Spaces via Heat Kernels. P-Adic Numbers, Ultrametric Analysis, and Applications 15, 204-242.

  PUB | DOI | WoS
   
• [38]
  

  2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2983164

  Grigoryan, A., Hu, E., and Hu, J. (2023). Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces. Mathematische Annalen .

  PUB | DOI | WoS
   
• [37]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979994

  Grigoryan, A., and Muranov, Y. (2023). On homology theories of cubical digraphs. Pacific Journal of Mathematics 322, 39–58.

  PUB | DOI | WoS
   
• [36]
  

  2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2979258

  Grigoryan, A., Ishiwata, S., and Saloff-Coste, L. (2023). Poincare constant on manifolds with ends. Proceedings of the London Mathematical Society .

  PUB | DOI | WoS
   
• [35]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966347

  Grigoryan, A., Lin, Y., and Yau, S. - T. (2022). Discrete Tori and Trigonometric Sums. Journal of Geometric Analysis 32:298.

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• [34]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966348

  Grigoryan, A., and Sürig, P. (2022). Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End. Potential Analysis, 33 Seiten.

  PUB | PDF | DOI | WoS
   
• [33]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967385

  Cao, J., and Grigoryan, A. (2022). Heat kernels and Besov spaces on metric measure spaces. Journal d'Analyse Mathématique .

  PUB | DOI | WoS
   
• [32]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958909

  Bendikov, A., Grigoryan, A., Hu, E., and Hu, J. (2021). Heat kernels and non-local Dirichlet forms on ultrametric spaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22, 399-461.

  PUB | DOI | WoS
   
• [31]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956282

  Grigoryan, A., Muranov, Y. V., and Jimenez, R. (2021). Homology of Digraphs. Mathematical Notes volume 109, 712-726.

  PUB | DOI | WoS
   
• [30]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955091

  Cao, J., Grigoryan, A., and Liu, L. (2021). Hardy's inequality and Green function on metric measure spaces. Journal of Functional Analysis 281:109020.

  PUB | DOI | WoS
   
• [29]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946515

  Grigoryan, A., and Verbitsky, I. (2020). Pointwise estimates of solutions to nonlinear equations for nonlocal operators. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 20, 721-750.

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• [28]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941897

  Cao, J., and Grigoryan, A. (2020). Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 26:3.

  PUB | DOI | WoS
   
• [27]
  

  2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2941868

  Grigoryan, A., Sun, Y., and Verbitsky, I. (2020). Sup erlinear elliptic inequalities on manifolds. JOURNAL OF FUNCTIONAL ANALYSIS 278:UNSP 108444.

  PUB | DOI | WoS
   
• [26]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939175

  Grigoryan, A., Jimenez, R., Muranov, Y., and Yau, S. - T. (2019). Homology of path complexes and hypergraphs. TOPOLOGY AND ITS APPLICATIONS 267:UNSP 106877.

  PUB | DOI | WoS
   
• [25]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939165

  Grigoryan, A., and Sun, Y. (2019). On positive solutions of semi-linear elliptic inequalities on Riemannian manifolds. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 58:207.

  PUB | DOI | WoS
   
• [24]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939198

  Faraji, S., and Grigoryan, A. (2019). On biparabolicity of Riemannian manifolds. REVISTA MATEMATICA IBEROAMERICANA 35, 2025-2034.

  PUB | DOI | WoS
   
• [23]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937859

  Grigoryan, A., and Yang, M. (2019). LOCAL AND NON-LOCAL DIRICHLET FORMS ON THE SIERPITSKI CARPET. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 372, 3985-4030.

  PUB | DOI | WoS
   
• [22]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935586

  Grigoryan, A., and Verbitsky, I. (2019). Pointwise estimates of solutions to semilinear elliptic equations and inequalities. JOURNAL D ANALYSE MATHEMATIQUE 137, 559-601.

  PUB | DOI | WoS
   
• [21]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932011

  Grigoryan, A., and Yang, M. (2018). Determination of the walk dimension of the Sierpinski gasket without using diffusion. JOURNAL OF FRACTAL GEOMETRY 5, 419-460.

  PUB | DOI | WoS
   
• [20]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931989

  Grigoryan, A., Kondratiev, Y., Piatnitski, A., and Zhizhina, E. (2018). Pointwise estimates for heat kernels of convolution-type operators. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 117, 849-880.

  PUB | DOI | WoS
   
• [19]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931240

  Grigoryan, A., Muranov, Y., Vershinin, V., and Yau, S. - T. (2018). Path homology theory of multigraphs and quivers. FORUM MATHEMATICUM 30, 1319-1337.

  PUB | DOI | WoS
   
• [18]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919309

  Grigoryan, A., Jimenez, R., and Muranov, Y. (2018). Fundamental groupoids of digraphs and graphs\. CZECHOSLOVAK MATHEMATICAL JOURNAL 68, 35-65.

  PUB | DOI | WoS
   
• [17]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920323

  Grigoryan, A., Ishiwata, S., and Saloff-Coste, L. (2018). Heat kernel estimates on connected sums of parabolic manifolds. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 113, 155-194.

  PUB | DOI | WoS
   
• [16]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920307

  Grigoryan, A., Hu, E., and Hu, J. (2018). Two-sided estimates of heat kernels of jump type Dirichlet forms. ADVANCES IN MATHEMATICS 330, 433-515.

  PUB | DOI | WoS
   
• [15]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919064

  Grigoryan, A., Ouyang, S., and Röckner, M. (2018). Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 736, 1-31.

  PUB | DOI | WoS
   
• [14]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911005

  Grigoryan, A., Hu, E., and Hu, J. (2017). Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces. JOURNAL OF FUNCTIONAL ANALYSIS 272, 3311-3346.

  PUB | DOI | WoS
   
• [13]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907710

  Grigoryan, A., and Kajino, N. (2017). LOCALIZED UPPER BOUNDS OF HEAT KERNELS FOR DIFFUSIONS VIA A MULTIPLE DYNKIN-HUNT FORMULA. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 369, 1025-1060.

  PUB | DOI | WoS
   
• [12]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917158

  Grigoryan, A., Nadirashvili, N., and Sire, Y. (2016). A LOWER BOUND FOR THE NUMBER OF NEGATIVE EIGENVALUES OF SCHRODINGER OPERATORS. JOURNAL OF DIFFERENTIAL GEOMETRY 102, 395-408.

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• [11]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901218

  Grigoryan, A., Lin, Y., Muranov, Y., and Yau, S. - T. (2015). Cohomology of digraphs and (undirected) graphs. Asian Journal of Mathematics 19, 887-932.

  PUB | DOI | WoS
   
• [10]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901225

  Grigoryan, A., Hu, J., and Lau, K. - S. (2015). Generalized capacity, harnack inequality and heat kernels of dirichlet forms on metric measure spaces. Journal of the Mathematical Society of Japan 67, 1485-1549.

  PUB | DOI | WoS
   
• [9]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684291

  Grigoryan, A., and Hu, J. (2014). Heat Kernels and Green Functions on Metric Measure Spaces. Canadian Journal of Mathematics 66, 641-699.

  PUB | DOI | WoS
   
• [8]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2710500

  Grigoryan, A., Hu, J., and Lau, K. - S. (2014). ESTIMATES OF HEAT KERNELS FOR NON-LOCAL REGULAR DIRICHLET FORMS. Transactions of the American Mathematical Society 366, 6397-6441.

  PUB | DOI | WoS
   
• [7]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548614

  Barlow, M. T., Grigoryan, A., and Kumagai, T. (2012). On the equivalence of parabolic Harnack inequalities and heat kernel estimates. Journal Of The Mathematical Society Of Japan 64, 1091-1146.

  PUB | DOI | WoS
   
• [6]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2510017

  Grigoryan, A., and Telcs, A. (2012). TWO-SIDED ESTIMATES OF HEAT KERNELS ON METRIC MEASURE SPACES. The Annals of Probability 40, 1212-1284.

  PUB | DOI | WoS
   
• [5]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794066

  Grigoryan, A., Hu, J., and Lau, K. - S. (2010). Comparison inequalities for heat semigroups and heat kernels on metric measure spaces. Journal of Functional Analysis 259, 2613-2641.

  PUB | DOI | WoS
   
• [4]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635534

  Barlow, M. T., Grigoryan, A., and Kumagai, T. (2009). Heat kernel upper bounds for jump processes and the first exit time. JOURNAL FUER DIE REINE UND ANGEWANDTE MATHEMATIK 626, 135-157.

  PUB | DOI | WoS
   
• [3]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588020

  Grigoryan, A., and Hansen, W. (2008). Lower estimates for a perturbed Green function. Journal d'Analyse Mathématique 104, 25-58.

  PUB | DOI | WoS
   
• [2]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586597

  Grigoryan, A., and Hu, J. (2008). Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces. INVENTIONES MATHEMATICAE 174, 81-126.

  PUB | DOI | WoS
   
• [1]
  

  1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916772

  Grigoryan, A. (1994). INTEGRAL MAXIMUM PRINCIPLE AND ITS APPLICATIONS. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 124, 353-362.

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