activity
20102026
most citedExistence of positive solutions to some nonlinear equations on locally finite graphs

108 citations · 294 across the 20 of their papers we have counts for

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Showing 2012Show all

3 papers · 1 filter

math.PR2012

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

Alexander Grigor'yan, Shunxiang Ouyang, Michael Röckner

We prove upper and lower bounds of the heat kernel for the operator in $\mathbb{R}^{n}\setminus\{0} $ where . We obtain these bounds…

math.CO2012★ 36 cited

Homologies of path complexes and digraphs

Alexander Grigor'yan, Yong Lin, Yuri Muranov +1

In this paper we introduce a path complex that can be regarded as a generalization of the notion of a simplicial complex. The main motivation for considering path complexes comes f…

math.PR2012★ 91 cited

Two-sided estimates of heat kernels on metric measure spaces

Alexander Grigor'yan, Andras Telcs

We prove equivalent conditions for two-sided sub-Gaussian estimates of heat kernels on metric measure spaces.