2 papers
math.AP2023
Optimal convergence rates for the spectrum of the graph Laplacian on Poisson point clouds
Scott Armstrong, Raghavendra Venkatraman
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…
math.PR2023
Quantitative homogenization and large-scale regularity of Poisson point clouds
Scott Armstrong, Raghavendra Venkatraman
We prove quantitative homogenization results for harmonic functions on supercritical continuum percolation clusters--that is, Poisson point clouds with edges connecting points whic…