Poincaré type inequalities on the discrete cube and in the CAR algebra

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dc.creatorBen-Efraim, Limor
dc.creatorLust-Piquard, Francoise
dc.date2007-02-08
dc.date.accessioned2026-07-07T07:45:37Z
dc.date.available2026-07-07T07:45:37Z
dc.descriptionWe prove Lp Poincare inequalities for functions on the discrete cube and their discrete gradient. We thus recover an exponential inequality and the concentration phenomenon for the uniform probability on the cube first obtained by Bobkov and Gotze. Inequalities involving the discrete gradient and powers of the discrete Laplacian are also considered, for the Lp norm or more general ones. Similar results hold true, replacing functions on the cube by elements of the CAR algebra and considering the annihilation operators and the number operator.
dc.identifierhttps://arxiv.org/abs/math/0702233
dc.identifierhttp://arxiv.org/abs/math/0702233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123589
dc.subjectFunctional Analysis
dc.subject46E39, 46L57, 46L51
dc.titlePoincaré type inequalities on the discrete cube and in the CAR algebra
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