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On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry

Addressing a question of Gromov, we give a rate in Pansu’s theorem about the convergence to the asymptotic cone of a finitely generated nilpotent group equipped with a left-invariant word metric rescaled by a factor [Image: see text]. We obtain a convergence rate (measured in the Gromov–Hausdorff me...

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Hlavní autoři: Breuillard, Emmanuel, Le Donne, Enrico
Médium: Artigo
Jazyk:Inglês
Vydáno: National Academy of Sciences 2013
Témata:
On-line přístup:https://ncbi.nlm.nih.gov/pmc/articles/PMC3845139/
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1203854109
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