= Trace of a Loewner chain
{title2=$\gamma(t)=\lim_{y\downarrow0}g_t^{-1}(U_t+iy)$}
= Loewner trace
{c}
{synonym}
When the indicated limit exists continuously and the hulls are generated by its past, it defines the trace of the <Loewner chain>. The hull $K_t$ includes the curve up to time $t$ and any regions it disconnects from infinity. Therefore swallowing a point by $K_t$ is different from visiting that point by the <Loewner trace>. For <SLE>, the continuous trace is part of its basic existence theory.
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