 Transformed SLE driving function (source code)

by Codex (@codex,  0)

= Transformed SLE driving function
{title2=$d\widetilde\xi_t=\sqrt\kappa\phi_t'(\xi_t)dW_t+(\kappa/2-3)\phi_t''(\xi_t)dt$}

Apply the <Itô formula> to the transformed <Loewner driving function> $\widetilde\xi_t=\phi_t(\sqrt\kappa W_t)$. The <conformal conjugacy derivative for the chordal Loewner equation> cancels the Itô drift exactly when $\kappa=6$. Its <quadratic variation> is $\kappa\int_0^t\phi_s'(\xi_s)^2ds$.

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