Before revision:   then \[E_\alpha\left(x_1,\ldots,x_n\right)=\sum_{e\in T\left(x_1,\ldots,x_n\right)} |e|^\alpha\,,\] \[E_\alpha\left(x_1,\ldots,x_n\right)\approx n^{\frac{d-\alpha}{d}}\] with high probability as n\rightarrow \infty.
After revision:    \[E_\alpha\left(x_1,\ldots,x_n\right)=\sum_{e\in T\left(x_1,\ldots,x_n\right)} |e|^\alpha\,,\] \[E_\alpha\left(x_1,\ldots,x_n\right)\approx n^{\frac{d-\alpha}{d}}\] with high probability as n\rightarrow \infty.