A specific KPZ height function is shown to match a stochastic Loewner equation whose entropy scales as negative log of time over kappa.
Dotsenko, ”Bethe ansatz derivation of the tracy-wisdom distribution for one-dimensional directed polymers,” Europhysics Letters 90, 20003 (2010)
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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.