A specific KPZ height function is shown to match a stochastic Loewner equation whose entropy scales as negative log of time over kappa.
Spohn, ”The 1+1 dimensional kardar-parisi-zhang equation: more surprises,” Journal of Statistical Mechanics: Theory and Experiment 2020, 044001 (2020)
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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.