Erik Davis

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20162025

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Showing math.PRShow all

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math.PR2017

Approximating geodesics via random points

Erik Davis, Sunder Sethuraman

Given a `cost' functional $F$ on paths $γ$ in a domain $D \subset R^{d}$ , in the form $F (γ) = \int_{0}^{1} f (γ (t), γ ˙ (t)) d t$ , it is of interest to approximate its minimum cost a…

math.PR2016

Consistency of modularity clustering on random geometric graphs

Erik Davis, Sunder Sethuraman

We consider a large class of random geometric graphs constructed from samples $X_{n} = {X_{1}, X_{2}, \dots, X_{n}}$ of independent, identically distributed observations of an un…