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Existing approaches to analyzing the asymptotics of graph Laplacians typically assume a well-behaved kernel function with smoothness assumptions.
A nonparametric estimate of a multivariate density function
Loftsgaarden, D.O. and Quesenberry, C.P · 1965
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The strong uniform consistency of nearest neighbor density estimates
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An Introduction to Differentiable Manifolds and Riemannian Geometry
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Laplacian eigenmaps for dimensionality reduction and data representation
Belkin, M. and Niyogi, P · 2003
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Limit Theorems for Stochastic Processes
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Heat kernels on weighted manifolds and applications
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Singer, A · 2006
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Graph Laplacians and their convergence on random neighborhood graphs
Hein, M., Audibert, J.-Y., and von Luxburg, U · 2007
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