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Project A6: Analysis and stochastic processes on metric measure spaces


Principal Investigator(s)
Alexander Grigor'yan

Summary:

The purpose of the project is to investigate the properties of reversible stochastic processes on metric measure spaces in relation with the geometric properties of these spaces.



Recent Preprints:

17017 Alexander Grigor'yan, Yong Lin, Yunyan Yang PDF

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

Project: A10, A6

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


Authors: Alexander Grigor'yan, Yong Lin, Yunyan Yang Projects: A10, A6
Submission Date: 2017-06-30 Submitter: Moritz Kaßmann
Download: PDF Link: 17017

17016 Alexander Grigor'yan, Yong Lin, Yunyan Yang PDF

Kazdan-Warner equation on graph

Project: A10, A6

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Kazdan-Warner equation on graph


Authors: Alexander Grigor'yan, Yong Lin, Yunyan Yang Projects: A10, A6
Submission Date: 2017-06-30 Submitter: Moritz Kaßmann
Download: PDF Link: 17016

17015 Alexander Grigor'yan, Yong Lin, Yunyan Yang PDF

Yamabe type equations on finite graphs

Project: A10, A6

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Yamabe type equations on finite graphs


Authors: Alexander Grigor'yan, Yong Lin, Yunyan Yang Projects: A10, A6
Submission Date: 2017-06-30 Submitter: Moritz Kaßmann
Download: PDF Link: 17015

17014 Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste PDF

Heat kernel estimates on connected sums of parabolic manifolds

Project: A6

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Heat kernel estimates on connected sums of parabolic manifolds


Authors: Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste Projects: A6
Submission Date: 2017-06-30 Submitter: Michael Röckner
Download: PDF Link: 17014

17013 Alexander Grigor'yan, Eryan Hu, Jiaxin Hu PDF

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

Project: A6

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


Authors: Alexander Grigor'yan, Eryan Hu, Jiaxin Hu Projects: A6
Submission Date: 2017-06-30 Submitter: Michael Röckner
Download: PDF Link: 17013

17012 Wolfhard Hansen, Ivan Netuka PDF

Nearly hyperharmonic functions and Jensen measures

Project: A6

To appear: Ann. Acad. Sci. Fenn. Math (2019)

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Nearly hyperharmonic functions and Jensen measures


Authors: Wolfhard Hansen, Ivan Netuka Projects: A6
Submission Date: 2017-05-17 Submitter: Alexander Grigor'yan
Download: PDF Link: 17012
To appear: Ann. Acad. Sci. Fenn. Math (2019)

16038 Wolfhard Hansen, Ivan Netuka PDF

Reduced functions and Jensen measures

Project: A6

Published: Proc. Amer. Math. Soc. 109 (2018), 153–160

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Reduced functions and Jensen measures


Authors: Wolfhard Hansen, Ivan Netuka Projects: A6
Submission Date: 2016-11-07 Submitter: Alexander Grigor'yan
Download: PDF Link: 16038
Published: Proc. Amer. Math. Soc. 109 (2018), 153–160

16005 Wolfhard Hansen PDF

Darning and gluing of diffusions

Project: A6

Published: Potential Anal. 46 (2017), 167–180

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Darning and gluing of diffusions


Authors: Wolfhard Hansen Projects: A6
Submission Date: 2016-01-27 Submitter: Alexander Grigor'yan
Download: PDF Link: 16005
Published: Potential Anal. 46 (2017), 167–180

15040 Alexander Grigor'yan, Igor Verbitsky PDF

Pointwise estimates of solutions to semilinear elliptic equations and inequalities

Project: A6

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Pointwise estimates of solutions to semilinear elliptic equations and inequalities


Authors: Alexander Grigor'yan, Igor Verbitsky Projects: A6
Submission Date: 2015-08-26 Submitter: Moritz Kaßmann
Download: PDF Link: 15040

15037 Alexander Grigor'yan, Rolando Jimenez, Yuri Muranov PDF

Fundamental groupoids of digraphs and graphs

Project: A6

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Fundamental groupoids of digraphs and graphs


Authors: Alexander Grigor'yan, Rolando Jimenez, Yuri Muranov Projects: A6
Submission Date: 2015-08-11 Submitter: Stefan Bauer
Download: PDF Link: 15037



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