The occupation measure conjecture for radial SLE(2)

Let $\tilde{\Omega}$ be the space of equivalence classes of SLE(2) curves in $\mathbb{D}$, let $\mathcal{M}$ be the relevant space of measures, and let $G(z)=G_{\mathbb{D}}(z)$ denote the radial SLE Green's function. For an equivalence class $\tilde{\gamma}$, write $\tilde{\mathcal{F}}_t(\gamma)=\widetilde{\gamma[0,t]}$. The radial SLE(2) occupation measure conjecture. There exists a probability measure on $\tilde{\Omega}\times\mathcal{M}$ such that, for $(\tilde{\gamma},\mu)$, $\mu$ is measurable with respect to $\tilde{\gamma}$; for every $\gamma\in\tilde{\gamma}$, $\mu(\cdot\cap\gamma[0,t])$ is measurable with respect to $\tilde{\mathcal{F}}_t(\gamma)$; $\mathbf{E}[\mu(dz)]=G(z)\\,dz$, meaning that $\mathbf{E}[\mu(A)]=\int_A G(z)\\,dz$ for every Borel $\A\subset\mathbb{D}$; and the domain Markov property holds. The statement is expected to hold for all $\kappa\leq4$, with minor modifications for $4<\kappa<8$; the analogous chordal occupation-measure results are known, whereas the radial case had not been established in the source.