A. Jego

activity

20182026

most citedPlanar Brownian motion and Gaussian multiplicative chaos

20 citations · 72 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.PR2026

Three-dimensional Brownian loop soup clusters

Antoine Jego, Titus Lupu

We study Brownian loop soup clusters in $R^{3}$ for an arbitrary intensity $α > 0$ . 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 $X$ in $d$ dimensions. For all $γ \in (- 2 d, 2 d)$ , we show that the derivatives $\frac{\partial^k}{\partialγ^k} :e^{…