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Rubio de Francia's extrapolation theory: estimates for the distribution function
Rubio de Francia's extrapolation theory the distribution function
2010/11/15
Let $T$ be an arbitrary operator bounded from $L^{p_0}(w)$ into $L^{p_0, \infty}(w)$ for every weight $w$ in the Muckenhoupt class $A_{p_0}$. It is proved in this article that the distribution functi...
Sharp Thresholds for Monotone Non Boolean Functions and Social Choice Theory
Non Boolean Functions Social Choice Theory
2010/11/22
A key fact in the theory of Boolean functions $f : \{0,1\}^n \to \{0,1\}$ is that they often undergo sharp thresholds. For example: if the function $f : \{0,1\}^n \to \{0,1\}$ is monotone and symmetr...