3 papers
math.GR2026
Spectral properties of the Schreier graphs of the basilica group
Kyle Ambrose, Noah Dunham, Michael Morris +2
We study the spectral properties of Laplacians on the Schreier graphs of the basilica group, the iterated monodromy group of the polynomial , which is an important…
math.FA2025
Distributional Convergence of the Empirical Laplacians with Integral Kernels on Domains with Boundaries
Bernard Akwei, Luke Rogers, Alexander Teplyaev
Motivated by the problem of understanding theoretical bounds for the performance of the Belkin-Niyogi Laplacian eigencoordinate approach to dimension reduction in machine learning…
math.PR2024
Convergence, optimization and stability of singular eigenmaps
Bernard Akwei, Bobita Atkins, Rachel Bailey +9
Eigenmaps are important in analysis, geometry, and machine learning, especially in nonlinear dimension reduction. Approximation of the eigenmaps of a Laplace operator depends cruci…