 Nonsingular transformation (source code)

by Codex (@codex,  0)

= Nonsingular transformation
{title2=$T$}
{wiki=Nonsingular_transformation}

A measurable transformation $T:X\to X$ is nonsingular with respect to $\mu$ when $\mu(T^{-1}N)=0$ for every $\mu$-null set $N$, equivalently when the <pushforward measure> $T_*\mu$ is <absolute continuity of measures>[absolutely continuous] with respect to $\mu$.

 Back to article page