Concentration of 1-Lipschitz maps into an infinite dimensional $\ell^p$-ball with $\ell^q$-distance function

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dc.creatorFunano, Kei
dc.date2008-08-24
dc.date.accessioned2026-07-07T09:58:10Z
dc.date.available2026-07-07T09:58:10Z
dc.descriptionIn this paper, we study the Lévy-Milman concentration phenomenon of 1-Lipschitz maps into infinite dimensional metric spaces. Our main theorem asserts that the concentration to an infinite dimensional $\ell^p$-ball with the $\ell^q$-distance function for $1\leq p<q\leq +\infty$ is equivalent to the concentration to the real line.
dc.description11pages
dc.identifierhttps://arxiv.org/abs/0808.3238
dc.identifierhttp://arxiv.org/abs/0808.3238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167618
dc.subjectMetric Geometry
dc.subjectDifferential Geometry
dc.subject53C21; 53C23
dc.titleConcentration of 1-Lipschitz maps into an infinite dimensional $\ell^p$-ball with $\ell^q$-distance function
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