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20112025
most citedOn the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target

3 citations · 3 across the 10 of their papers we have counts for

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Showing 2021Show all

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math.MG2021

Projection theorems for linear-fractional families of projections

Anton Lukyanenko, Annina Iseli

Marstrand's theorem states that applying a generic rotation to a planar set before projecting it orthogonally to the -axis almost surely gives an image with the maximal poss…

cs.RO2021

Probabilistic motion planning for non-Euclidean and multi-vehicle problems

Anton Lukyanenko, Damoon Soudbakhsh

Trajectory planning tasks for non-holonomic or collaborative systems are naturally modeled by state spaces with non-Euclidean metrics. However, existing proofs of convergence for s…