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arXiv · 2312.08149

Optimal convergence rates for the spectrum of the graph Laplacian on Poisson point clouds

Scott Armstrong·Raghavendra Venkatraman
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Abstract

We prove optimal convergence rates for eigenvalues and eigenvectors of the graph Laplacian on Poisson point clouds. Our results are valid down to the critical percolation threshold, yielding error estimates for relatively sparse graphs.

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Scott Armstrong, Raghavendra Venkatraman. 2023-12-13. Optimal convergence rates for the spectrum of the graph Laplacian on Poisson point clouds. https://arxiv.org/abs/2312.08149

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