A specific KPZ height function is shown to match a stochastic Loewner equation whose entropy scales as negative log of time over kappa.
Kennedy, ”Computing the Loewner driving process of random curves in the half plane,” Journal of Statistical Physics, 131(5), 803-819 (2008)
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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.