most citedPoincaré type inequalities on the discrete cube and in the CAR algebra

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math.FA2007★ 19 cited

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

Limor Ben-Efraim, Francoise Lust-Piquard

We 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…