arXiv subjects

Lucien Grillet

Publications and source records attributed to Lucien Grillet.

2 recordsLinked to original sources

arXiv2022

Effective Estimation of the Dimensions of a Manifold from Random Samples

We give explicit theoretical and heuristical bounds for how big does a data set sampled from a reach-1 submanifold M of euclidian space need to be, to be able to estimate the dimension of M with 90% confidence.

cs.CG↗

arXiv2022

Smoothing finite-order bilipschitz homeomorphisms of 3-manifolds

We show that, for $\varepsilon=\dfrac{1}{4000}$, any action of a finite cyclic group by $(1+\varepsilon)$-bilipschitz homeomorphisms on a closed 3-manifold is conjugated to a smooth action.

math.GT↗