122 citations · 349 across the 22 of their papers we have counts for
Showing 2014 · math.APShow all
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math.AP2014
Average-distance problem for parameterized curves
Xin Yang Lu, Dejan Slepčev
We consider approximating a measure by a parameterized curve subject to length penalization. That is for a given finite positive compactly supported measure , for and…
math.AP2014★ 2 cited
Nonlocal-interaction equations on uniformly prox-regular sets
José A. Carrillo, Dejan Slepčev, Lijiang Wu
We study the well-posedness of a class of nonlocal-interaction equations on general domains , including nonconvex ones. We show that under mild assumptions o…
math.AP2014★ 68 cited
Existence of Ground States of Nonlocal-Interaction Energies
Robert Simione, Dejan Slepčev, Ihsan Topaloglu
We investigate which nonlocal-interaction energies have a ground state (global minimizer). We consider this question over the space of probability measures and establish a sharp co…