= Driving-function reconstruction for a chordal Loewner chain
{title2=$U_t=g_t(z)-2/\partial_tg_t(z)$}
The domains of a capacity-parametrized <Loewner chain> determine their hydrodynamically normalized <mapping-out functions of compact H-hulls>. At a surviving point, the <Chordal Loewner equation> gives $U_t=g_t(z)-2/\partial_tg_t(z)$. For a continuous driver and $t>0$, the left derivative uses only the hull past. High points $in$, $n\in\mathbb N$, survive up to any fixed finite time for sufficiently large $n$, making this a countable local reconstruction of the driver and its past filtration.
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