A specific KPZ height function is shown to match a stochastic Loewner equation whose entropy scales as negative log of time over kappa.
Schramm, ”Scaling limits of loop-erased random walks and uniform spanning trees,” Israel Journal of Mathematics 118, 221-288 (2000)
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Description of KPZ interface growth by stochastic Loewner evolution
A specific KPZ height function is shown to match a stochastic Loewner equation whose entropy scales as negative log of time over kappa.