SLE_kappa(rho) processes in the light cone regime on a sqrt(kappa)-LQG surface are a gluing of two trees encoded by a correlated alpha-stable Levy process with alpha = 1 - 2(rho+2)/kappa.
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SLE$_{\kappa}(\rho)$ processes in the light cone regime on Liouville quantum gravity
SLE_kappa(rho) processes in the light cone regime on a sqrt(kappa)-LQG surface are a gluing of two trees encoded by a correlated alpha-stable Levy process with alpha = 1 - 2(rho+2)/kappa.