4 problems

Let $\overline{M}_0$ and $\overline{M}_{0'}$ be the two random measures defined in the probability space associated with Proposition, with the notation and eigenfunction constructi…

Let $M_1:=M^{\theta}_{[0,1]}$, and let $M'$ be the time-$[0,1]$ marginal of $M^{\theta}_{[0,2]}$. These are random measures arising from polymer measures on different time interval…

Let $M^{\theta}_{[s,t]}$ be the polymer measure on paths over the spacetime interval $[s,t]$ in $1+2$-dimensional Euclidean space. More precisely, paths sampled from…

Let $M^{\theta}$ denote the polymer measure associated with the stochastic heat flow at parameter $\theta$. A conditional Gaussian multiplicative chaos conjecture. If one takes…