2 problems

Let $f_\infty(|{\bf x}|)$ be an isotropic probability density on ${\mathcal I}=\{ |{\bf x}|\leq i_+\}$, with $f_\infty>0$, and define the diffusion coefficient … For a constant $c$…

A down transformation is the operation described in the paper that maps a density to its transformed density with exponent parameter $\alpha$. The paper considers decreasing power…