Characterizes positive critical Hardy weights for Laplacians on weighted graphs and identifies an optimal Hardy weight for fractional Laplacians under suitable assumptions, with examples on Cayley, curvature, and fractal graphs.
Groups of polynomial growth and expanding maps
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
UNVERDICTED 2representative citing papers
A proper metric space quasi-isometric to a finitely generated group and a horoball space over such a group must be quasi-isometric to a rank-one symmetric space or the real line.
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Positive Criticality and Optimal Hardy Inequality for Fractional Laplacians
Characterizes positive critical Hardy weights for Laplacians on weighted graphs and identifies an optimal Hardy weight for fractional Laplacians under suitable assumptions, with examples on Cayley, curvature, and fractal graphs.
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Hyperbolic spaces with geometric and geometrically finite quasi-actions are symmetric
A proper metric space quasi-isometric to a finitely generated group and a horoball space over such a group must be quasi-isometric to a rank-one symmetric space or the real line.