Acta mathematica scientia, Series B >
CONVEX CONCENTRATION INEQUALITIES FOR CONTINUOUS GAS AND STOCHASTIC DOMINATION
Received date: 2006-12-12
Online published: 2009-09-20
Supported by
Supported by the NSFC (10721091)
In this article, we consider the continuous gas in a bounded domain ∧of R+ or Rd described by a Gibbsian probability measure
μη∧ associated with a pair interaction Φ, the inverse temperature β, the activity z>0, and the boundary condition η. Define F=∫f(s)ω∧(ds). Applying the generalized Ito's formula for forward-backward martingales (see Klein et al. [5]), we obtain convex concentration inequalities for F
with respect to the Gibbs measure μη∧. On the other hand, by FKG inequality on the Poisson space, we also give a new simple argument for the stochastic domination for the Gibbs measure.
MA Yu Tao . CONVEX CONCENTRATION INEQUALITIES FOR CONTINUOUS GAS AND STOCHASTIC DOMINATION[J]. Acta mathematica scientia, Series B, 2009 , 29(5) : 1461 -1468 . DOI: 10.1016/S0252-9602(09)60118-1
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