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math.PR2026
Three-dimensional Brownian loop soup clusters
Antoine Jego, Titus Lupu
We study Brownian loop soup clusters in for an arbitrary intensity . We show the existence of a phase transition for the presence of unbounded clusters and stud…
math.PR2026
Derivatives of Gaussian multiplicative chaos
Antoine Jego
Consider a logarithmically-correlated Gaussian field in dimensions. For all , we show that the derivatives $\frac{\partial^k}{\partialγ^k} :e^{…