94 citations · 448 across the 40 of their papers we have counts for
5 papers · 1 filter
Reconstruction of manifold embeddings into Euclidean spaces via intrinsic distances
Nikita Puchkin, Vladimir Spokoiny, Eugene Stepanov +1
We consider the problem of reconstructing an embedding of a compact connected Riemannian manifold in a Euclidean space up to an almost isometry, given the information on intrinsic…
Lie brackets of nonsmooth vector fields and commutation of their flows
Chiara Rigoni, Eugene Stepanov, Dario Trevisan
It is well-known that the flows generated by two smooth vector fields commute, if the Lie bracket of these vector fields vanishes. This assertion is known to extend to Lipschitz co…
The Quantum Wasserstein Distance of Order 1
Giacomo De Palma, Milad Marvian, Dario Trevisan +1
We propose a generalization of the Wasserstein distance of order 1 to the quantum states of qudits. The proposal recovers the Hamming distance for the vectors of the canonical…
Convergence of asymptotic costs for random Euclidean matching problems
Michael Goldman, Dario Trevisan
We investigate the average minimum cost of a bipartite matching between two samples of n independent random points uniformly distributed on a unit cube in d 3 dimensions, whe…
Towards geometric integration of rough differential forms
Eugene Stepanov, Dario Trevisan
We provide a draft of a theory of geometric integration of rough differential forms which are generalizations of classical (smooth) differential forms to similar objects with very…