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

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

2007-02-08

arxiv.org/abs/math/0702233v1

Mathematics

Functional Analysis

Scientific paper

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 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.

Affiliated with

Also associated with

No associations

Rating

Poincaré type inequalities on the discrete cube and in the CAR algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Poincaré type inequalities on the discrete cube and in the CAR algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poincaré type inequalities on the discrete cube and in the CAR algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-8270