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- W1569054973 abstract "We derive sufficient conditions for a family $(X^n,rho_n,P_n)$ of metric probability spaces to have the measure concentration property. Specifically, if the sequence ${P_n}$ of probability measures satisfies a strong mixing condition (which we call $eta$-mixing) and the sequence of metrics ${rho_n}$ is what we call $Psi$-dominated, we show that $(X^n,rho_n,P_n)$ is a normal Levy family. We establish these properties for some metric probability spaces, including the possibly novel $X=[0,1]$, $rho_n=ell_1$ case." @default.
- W1569054973 created "2016-06-24" @default.
- W1569054973 creator A5022052669 @default.
- W1569054973 date "2006-10-13" @default.
- W1569054973 modified "2023-09-27" @default.
- W1569054973 title "Metric and Mixing Sufficient Conditions for Concentration of Measure" @default.
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