108 citations · 294 across the 20 of their papers we have counts for
4 papers · 1 filter
Torsion of digraphs and path complexes
Alexander Grigor'yan, Yong Lin, Shing-Tung Yau
We define the notions of Reidemeister torsion and analytic torsion for directed graphs by means of the path homology theory introduced by the authors in \cite{Grigoryan-Lin-Muranov…
Geometric analysis on manifolds with ends
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste
In this survey article, we discuss some recent progress on geometric analysis on manifold with ends. In the final section, we construct manifolds with ends with oscillating volume…
On the spectrum of the hierarchical Schrödinger type operators
Alexander Bendikov, Alexander Grigor'yan, Stanislav Molchanov
The goal of this paper is the spectral analysis of the Schrödinger type operator , the perturbation of the Taibleson-Vladimirov multiplier by a potential…
Hierarchical Schrödinger-type operators: the case of potentials with local singularities
Alexander Bendikov, Alexander Grigor'yan, Stanislav Molchanov
The goal of this paper is twofold. We prove that the operator , a perturbation of the Taibleson-Vladimirov multiplier by a potential $V(x)=b\left\Vert x\…