A specific KPZ height function is shown to match a stochastic Loewner equation whose entropy scales as negative log of time over kappa.
Corwin, ”Some recent progress on the stationary measure for the open kpz equation,” Toeplitz Operators and Random Matrices: In Memory of Harold Wisdom, 321-360 (2022)
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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.