A discrete-time constant flux condition on the heat equation forces the domain to be a ball under suitable regularity.
Manifold learning in wasserstein space
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An efficient algorithm reconstructs manifold geometry from random geometric graphs under the manifold assumption with distance-dependent connection probabilities.
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A discrete-time overdetermined problem for the heat equation
A discrete-time constant flux condition on the heat equation forces the domain to be a ball under suitable regularity.
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Reconstructing the Geometry of Random Geometric Graphs
An efficient algorithm reconstructs manifold geometry from random geometric graphs under the manifold assumption with distance-dependent connection probabilities.