Grigor’yan, Alexander: search on Z-Library

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1

Isoperimetric Properties of Higher Eigenvalues of Elliptic Operators

Alexander Grigor'yan and Shing-Tung Yau

Journal:

American Journal of Mathematics

Year:

2003

Language:

english

File:

PDF, 3.31 MB

english, 2003

2

Homology of path complexes and hypergraphs

Grigor'yan, Alexander, Jimenez, Rolando, Muranov, Yuri, Yau, Shing-Tung

Journal:

Topology and its Applications

Year:

2019

Language:

english

File:

PDF, 476 KB

english, 2019

3

On-diagonal lower bounds for heat kernels and Markov chains

Coulhon, Thierry, Grigor?yan, Alexander

Journal:

Duke Mathematical Journal

Year:

1997

Language:

english

File:

PDF, 3.65 MB

english, 1997

4

On a cohomology of digraphs and Hochschild cohomology

Grigor’yan, Alexander, Muranov, Yuri, Yau, Shing-Tung

Journal:

Journal of Homotopy and Related Structures

Year:

2016

Language:

english

File:

PDF, 403 KB

english, 2016

5

Obtaining upper bounds of heat kernels from lower bounds

Alexander Grigor′yan, Jiaxin Hu, Ka-Sing Lau

Journal:

Communications on Pure and Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 188 KB

english, 2008

6

Heat Kernels on Metric Measure Spaces and an Application to Semilinear Elliptic Equations

Alexander Grigor'Yan, Jiaxin Hu and Ka-Sing Lau

Journal:

Transactions of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 2.43 MB

english, 2003

7

Integral maximum principle and its applications

Grigor'yan, Alexander

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

1994

Language:

english

File:

PDF, 347 KB

english, 1994

8

Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators

Cao, Jun, Grigor’yan, Alexander

Journal:

Journal of Fourier Analysis and Applications

Year:

2020

Language:

english

File:

PDF, 1.11 MB

english, 2020

9

Manifolds and graphs with slow heat kernel decay

Martin Barlow, Thierry Coulhon, Alexander Grigor’yan

Journal:

Inventiones mathematicae

Year:

2001

Language:

english

File:

PDF, 357 KB

english, 2001

10

Dirichlet heat kernel in the exterior of a compact set

Alexander Grigor'yan, Laurent Saloff-Coste

Journal:

Communications on Pure and Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 427 KB

english, 2002

11

Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces

Alexander Grigor’yan, Jiaxin Hu

Journal:

Inventiones mathematicae

Year:

2008

Language:

english

File:

PDF, 767 KB

english, 2008

12

Negative Eigenvalues of Two-Dimensional Schrödinger Operators

Grigor’yan, Alexander, Nadirashvili, Nikolai

Journal:

Archive for Rational Mechanics and Analysis

Year:

2015

Language:

english

File:

PDF, 716 KB

english, 2015

13

Heat kernel upper bounds for jump processes and the first exit time

Barlow, Martin T., Grigor'yan, Alexander, Kumagai, Takashi

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2009

Language:

english

File:

PDF, 277 KB

english, 2009

14

[Contemporary Mathematics] Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces Volume 338 ||

Auscher, Pascal, Coulhon, Thierry, Grigor’yan, Alexander

Year:

2003

Language:

english

File:

PDF, 31.09 MB

english, 2003

15

Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula

Grigor’yan, Alexander, Kajino, Naotaka

Journal:

Transactions of the American Mathematical Society

Year:

2016

Language:

english

File:

PDF, 554 KB

english, 2016

16

TWO-SIDED ESTIMATES OF HEAT KERNELS ON METRIC MEASURE SPACES

Alexander Grigor'yan and Andras Telcs

Journal:

The Annals of Probability

Year:

2012

Language:

english

File:

PDF, 4.28 MB

english, 2012

17

Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

Grigor'yan, Alexander

Journal:

Bulletin of the American Mathematical Society

Year:

1999

Language:

english

File:

PDF, 1.31 MB

english, 1999

18

On positive solutions of semi-linear elliptic inequalities on Riemannian manifolds

Grigor’yan, Alexander, Sun, Yuhua

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2019

Language:

english

File:

PDF, 516 KB

english, 2019

19

Path homology theory of multigraphs and quivers

Grigor’yan, Alexander, Muranov, Yuri, Vershinin, Vladimir, Yau, Shing-Tung

Journal:

Forum Mathematicum

Year:

2018

Language:

english

File:

PDF, 842 KB

english, 2018

20

Heat kernel estimates on connected sums of parabolic manifolds

Grigor'yan, Alexander, Ishiwata, Satoshi, Saloff-Coste, Laurent

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2018

Language:

english

File:

PDF, 2.34 MB

english, 2018

21

Estimates of heat kernels for non-local regular Dirichlet forms

Grigor’yan, Alexander, Hu, Jiaxin, Lau, Ka-Sing

Journal:

Transactions of the American Mathematical Society

Year:

2014

Language:

english

File:

PDF, 511 KB

english, 2014

22

Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces

GRIGOR'YAN, Alexander, HU, Jiaxin, LAU, Ka-Sing

Journal:

Journal of the Mathematical Society of Japan

Year:

2015

Language:

english

File:

PDF, 716 KB

english, 2015

23

Equivalence conditions for on-diagonal upper bounds of heat kernels on self-similar spaces

Alexander Grigor'yan, Jiaxin Hu, Ka-Sing Lau

Journal:

Journal of Functional Analysis

Year:

2006

Language:

english

File:

PDF, 167 KB

english, 2006

24

Hitting probabilities for Brownian motion on Riemannian manifolds

Alexander Grigor'yan, Laurent Saloff-Coste

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2002

Language:

english

File:

PDF, 316 KB

english, 2002

25

On the equivalence of parabolic Harnack inequalities and heat kernel estimates

BARLOW, Martin T., GRIGOR'YAN, Alexander, KUMAGAI, Takashi

Journal:

Journal of the Mathematical Society of Japan

Year:

2012

Language:

english

File:

PDF, 958 KB

english, 2012

26

Two-sided estimates of heat kernels of jump type Dirichlet forms

Grigor'yan, Alexander, Hu, Eryan, Hu, Jiaxin

Journal:

Advances in Mathematics

Year:

2018

Language:

english

File:

PDF, 1.29 MB

english, 2018

27

Heat Kernels and Green Functions on Metric Measure Spaces

Grigor'yan, Alexander, Hu, Jiaxin

Journal:

Canadian Journal of Mathematics

Year:

2014

Language:

english

File:

PDF, 761 KB

english, 2014

28

A Liouville property for Schrödinger operators

Alexander Grigor'yan, Wolfhard Hansen

Journal:

Mathematische Annalen

Year:

1998

Language:

english

File:

PDF, 534 KB

english, 1998

29

Kazdan–Warner equation on graph

Grigor’yan, Alexander, Lin, Yong, Yang, Yunyan

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 461 KB

english, 2016

30

Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces

Grigor'yan, Alexander, Hu, Eryan, Hu, Jiaxin

Journal:

Journal of Functional Analysis

Year:

2017

Language:

english

File:

PDF, 513 KB

english, 2017

31

Range of Fluctuation of Brownian Motion on a Complete Riemannian Manifold

Alexander Grigor'Yan and Mark Kelbert

Journal:

The Annals of Probability

Year:

1998

Language:

english

File:

PDF, 1.62 MB

english, 1998

32

Sub-Gaussian estimates of heat kernels on infinite graphs

Telcs, Andras, Grigor'yan, Alexander

Journal:

Duke Mathematical Journal

Year:

2001

Language:

english

File:

PDF, 492 KB

english, 2001

33

Pointwise estimates of solutions to semilinear elliptic equations and inequalities

Grigor’yan, Alexander, Verbitsky, Igor

Journal:

Journal d'Analyse Mathématique

Year:

2019

File:

PDF, 459 KB

2019

34

Sub-Gaussian estimates of heat kernels on infinite graphs

Telcs, Andras, Grigor'yan, Alexander

Journal:

Duke Mathematical Journal

Year:

2001

Language:

english

File:

PDF, 492 KB

english, 2001

35

Existence of positive solutions to some nonlinear equations on locally finite graphs

Grigor’yan, Alexander, Lin, Yong, Yang, YunYan

Journal:

Science China Mathematics

Year:

2017

Language:

english

File:

PDF, 608 KB

english, 2017

36

Parabolicity and stochastic completeness of manifolds in terms of the Green formula

Grigorʼyan, Alexander, Masamune, Jun

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2013

Language:

english

File:

PDF, 286 KB

english, 2013

37

Yamabe type equations on graphs

Grigor'yan, Alexander, Lin, Yong, Yang, Yunyan

Journal:

Journal of Differential Equations

Year:

2016

Language:

english

File:

PDF, 747 KB

english, 2016

38

On biparabolicity of Riemannian manifolds

Faraji, Shokoufe, Grigor'yan, Alexander

Journal:

Revista Matemática Iberoamericana

Year:

2019

File:

PDF, 191 KB

2019

39

Pointwise estimates for heat kernels of convolution-type operators

Grigor'yan, Alexander, Kondratiev, Yuri, Piatnitski, Andrey, Zhizhina, Elena

Journal:

Proceedings of the London Mathematical Society

Year:

2018

Language:

english

File:

PDF, 476 KB

english, 2018

40

Determination of the walk dimension of the Sierpiński gasket without using diffusion

Grigor'yan, Alexander, Yang, Meng

Journal:

Journal of Fractal Geometry

Year:

2018

Language:

english

File:

PDF, 359 KB

english, 2018

41

Lower estimates for a perturbed green function

Alexander Grigor’yan, Wolfhard Hansen

Journal:

Journal d'Analyse Mathématique

Year:

2008

Language:

english

File:

PDF, 346 KB

english, 2008

42

On stochastic completeness of jump processes

Alexander Grigor’yan, Xueping Huang, Jun Masamune

Journal:

Mathematische Zeitschrift

Year:

2012

Language:

english

File:

PDF, 531 KB

english, 2012

43

Escape rate of brownian motion on riemanian manifolds

Grigor'yan, Alexander

Journal:

Applicable Analysis

Year:

1998

Language:

english

File:

PDF, 938 KB

english, 1998

44

ISOPERIMETRIC INEQUALITIES: DIFFERENTIAL GEOMETRIC AND ANALYTIC PERSPECTIVES (Cambridge Tracts in Mathematics 145) By ISAAC CHAVEL: 268 pp., ??50.00, ISBN 0-521-80267-9 (Cambridge University Press, 2001).

Grigor'yan, Alexander

Journal:

Bulletin of the London Mathematical Society

Year:

2002

Language:

english

File:

PDF, 145 KB

english, 2002

45

Fundamental groupoids of digraphs and graphs

Grigor'yan, Alexander, Jimenez, Rolando, Muranov, Yuri

Journal:

Czechoslovak Mathematical Journal

Year:

2018

Language:

english

File:

PDF, 282 KB

english, 2018

46

Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities

Grigor'yan, Alexander, Ouyang, Shunxiang, Röckner, Michael

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2015

Language:

german

File:

PDF, 2.55 MB

german, 2015

47

A lower bound for the number of negative eigenvalues of Schrödinger operators

Grigor’yan, Alexander, Nadirashvili, Nikolai, Sire, Yannick

Journal:

Journal Of Differential Geometry

Year:

2016

Language:

english

File:

PDF, 174 KB

english, 2016

48

Local and non-local Dirichlet forms on the Sierpiński carpet

Grigor’yan, Alexander, Yang, Meng

Journal:

Transactions of the American Mathematical Society

Year:

2019

File:

PDF, 454 KB

2019

49

On a Class of Markov Semigroups on Discrete Ultra-Metric Spaces

Alexander Bendikov, Alexander Grigor’yan, Christophe Pittet

Journal:

Potential Analysis

Year:

2012

Language:

english

File:

PDF, 628 KB

english, 2012

50

Heat kernel and Lipschitz–Besov spaces

Grigor'yan, Alexander, Liu, Liguang

Journal:

Forum Mathematicum

Year:

2014

Language:

english

File:

PDF, 409 KB

english, 2014

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