2025/10/25 by Maitra, Sayantan
#FOS: Mathematics #Probability (math.PR)
paper · doi:10.48550/arxiv.2510.22165
We consider the random field defined by the layering numbers of the Brownian loop soup in a bounded simply connected domain in the complex plane. We call this the layering field and show that, after a suitable renormalization, it converges to the subcritical Gaussian multiplicative chaos. The main technique for our proof is the Wiener-Itô chaos expansion. We also calculate the n-point functions of the layering field, show their conformal covariance and discuss their behavior near the boundary of the domain.