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Convergence of graph Dirichlet energies and graph Laplacians on intersecting manifolds of varying dimensions
Leon Bungert, Dejan Slepčev
We study -convergence of graph Dirichlet energies and spectral convergence of graph Laplacians on unions of intersecting manifolds of potentially different dimensions. Our inves…
Geometry and analytic properties of the sliced Wasserstein space
Sangmin Park, Dejan Slepčev
The sliced Wasserstein metric compares probability measures on by taking averages of the Wasserstein distances between projections of the measures to lines. The dist…
The nonlocal-interaction equation near attracting manifolds
Francesco S. Patacchini, Dejan Slepčev
We study the approximation of the nonlocal-interaction equation restricted to a compact manifold embedded in , and more generally compact sets with posi…
Nonlinear mobility continuity equations and generalized displacement convexity
José Antonio Carrillo, Stefano Lisini, Giuseppe Savaré +1
We consider the geometry of the space of Borel measures endowed with a distance that is defined by generalizing the dynamical formulation of the Wasserstein distance to concave, no…