Conformally Invariant Fields Out of Brownian Loop Soups

Antoine Jego, Universite Paris Dauphina, France, Titus Lupu, Sorbonne Universite, Paris, France, and Wei Qian, The University of Hong Kong, People's Republic of China

Chapters 1. Introduction and main results 2. Preliminaries 3. Convergence of renormalised crossing probabilities and coupling of clusters 4. Construction of $h_\theta $: Proof of Theorems , and 5. $h_\theta $ as a sum of Minkowski measures: Proof of Theorems and 6. Excursions from the boundary of a cluster 7. Properties of $h_\theta $ and height gap 8. Approximation of $\mathcal {M}_a^ $ from the discrete 9. Wick powers and expansion of $\mathcal {M}_a^ $