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Title of Journal: Probab Theory Relat Fields

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Abbravation: Probability Theory and Related Fields

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Springer-Verlag

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10.1007/s10851-014-0547-7

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1432-2064

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Poincaré type inequalities on the discrete cube an

Authors: L Ben Efraim F LustPiquard
Publish Date: 2007/08/18
Volume: 141, Issue: 3-4, Pages: 569-602
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Abstract

We prove L p Poincaré inequalities with suitable dimension free constants for functions on the discrete cube −1 1 n As well known such inequalities for p an even integer allow to recover an exponential inequality hence the concentration phenomenon first obtained by Bobkov and Götze We also get inequalities between the L p norms of leftvert nabla frightvert and Delta alpha falpha 0 moreover L p spaces may be replaced by more general ones Similar results hold true replacing functions on the cube by matrices in the algebra spanned by n fermions and the L p norm by the Schatten norm C p

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  2. On the Dirichlet problem for asymmetric zero-range process on increasing domains
  3. Propagation and conditional propagation of chaos for pressureless gas equations
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  9. The largest eigenvalue of small rank perturbations of Hermitian random matrices
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  14. Selector processes on classes of sets
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  16. A simple proof of exponential decay of subcritical contact processes
  17. Large deviations for many Brownian bridges with symmetrised initial-terminal condition
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