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pro vyhledávání: '"Grillet, Lucien"'
Autor:
Grillet, Lucien, Souto, Juan
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.
Comment: 34 pages, 4 figures
Comment: 34 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/2209.01839
Autor:
Grillet, Lucien
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.
Comment: 22 pages, 6 figures
Comment: 22 pages, 6 figures
Externí odkaz:
http://arxiv.org/abs/2202.07294
Autor:
Grillet, Lucien1 (AUTHOR) grillet.lucien@gmail.com
Publikováno v:
Journal of Topology. Sep2023, Vol. 16 Issue 3, p1093-1112. 20p.
Autor:
Grillet, Lucien
In 1939, Paul Althaus Smith proved that the fixed set of a continuous self-map of finite order of the 3-sphere was homeomorphic to a lower dimensional sphere. However, his results do not give any information about the nature of the embedding of this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::5c1bbaa75f526b61f2d3a0f5faf831f5
https://theses.hal.science/tel-03956430
https://theses.hal.science/tel-03956430