3 papers
math.NA2026
A Higher Order Local Mesh Method for Approximating 1-Laplacians on Unknown Manifolds
John Wilson Peoples, John Harlim
We introduce a numerical method for approximating arbitrary differential operators on vector fields in the weak form given point cloud data sampled randomly from a dimensional…
math.OA2025
A Pile of Shifts II: Structure and -Theory
Shelley Hebert, Slawomir Klimek, Matt McBride +1
We discuss -algebras associated with several different natural shifts on the Hilbert space of the -adic tree, continuing the analysis from [Banach J. Math. Anal. 19 (2025),…
math.NA2025
Spectral Convergence of Symmetrized Graph Laplacian on manifolds with boundary
J. Wilson Peoples, John Harlim
We study the spectral convergence of a symmetrized Graph Laplacian matrix induced by a Gaussian kernel evaluated on pairs of embedded data, sampled from a manifold with boundary, a…