3 problems

Let $\gamma$ belong to the glassy phase ${{\mathcal P}} _{\mathrm {II}}$, and let $M^{(\gamma)}_\varepsilon$ be the regularized complex Gaussian multiplicative chaos distribution a…

Let ${\sf O\hspace{-0.1em}T}^{_\mathrm{aff}}_{\!n}$ and ${\sf L\hspace{-0.1em}O\hspace{-0.1em}T}^{_\mathrm{aff}}_{\!n}$ denote the sets of simple and simple labeled $n$-point order…

Let $I$ be an index set, let $D_\iota\in[0,d/2)$ for every $\iota\in I$, and let…