6533b833fe1ef96bd129ca61

RESEARCH PRODUCT

Poincare Inequalities and Spectral Gap, Concentration Phenomenon for G-Measures

Bernard Schmitt

subject

symbols.namesakeDirichlet formMathematical analysissymbolsSpectral gapProduct topologyGibbs measureType (model theory)ConstructiveMixing (physics)MathematicsExponential function

description

We produce a new approach based upon inequalities of Poincare’s type for giving constructive estimates of the mixing rate for a family of mixing stationary processes continuously depending on their past called g-measures. We establish also exponential inequalities of Hoeffding’s type leading to a concentration phenomenon for a large class of observables; this last property permits in particular to give the typical behaviour of the n-orbits of a g-measure.

yearjournalcountryeditionlanguage
2002-01-01
https://doi.org/10.1007/978-94-010-0345-2_8