Conformal Brownian clock
= Conformal Brownian clock
{title2=$A(t)=\int_0^t|\phi'(B_s)|^2ds$}
For a <conformal bijection> $\phi$ and <planar Brownian motion> $B$, this increasing clock measures the common <quadratic variation> of the two coordinates of $\phi(B)$. The transformed Brownian path is $\phi(B_{A^{-1}(t)})$. The inverse clock runs from image time to original time.