A specific KPZ height function is shown to match a stochastic Loewner equation whose entropy scales as negative log of time over kappa.
Sasamoto, ”The 1d kardar-parisi-zhang equation: height distribution and universality,” Progress of Theoretical and Experimental Physics 2016, 022A01 (2016)
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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.