 The function "ζ" is thus identically zero almost surely and

Schramm–Loewner evolution is the random curve "γ" given by the Loewner equation as in the previous section, for the driving function

where "B"("t") is Brownian motion on the boundary of "D", scaled by some real "κ".In other words, Schramm–Loewner evolution is a probability measure on planar curves, given as the image of Wiener measure under this map.In general the curve γ need not be simple, and the domain "Dt" is not the complement of "γ"([0,"t"]) in "D", but is instead the unbounded component of the complement.