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math.PR2012★ 1 cited
Geodesics of Random Riemannian Metrics: Supplementary Material
Tom LaGatta, Jan Wehr
This is supplementary material for the main Geodesics article by the authors. In Appendix A, we present some general results on the construction of Gaussian random fields. In Appen…
math.PR2012★ 8 cited
Geodesics of Random Riemannian Metrics
Tom LaGatta, Jan Wehr
We analyze the disordered Riemannian geometry resulting from random perturbations of the Euclidean metric. We focus on geodesics, the paths traced out by a particle traveling in th…