Outputs (2)

Brownian half‐plane excursion and critical Liouville quantum gravity (2022)
Journal Article
Aru, J., Holden, N., Powell, E., & Sun, X. (2023). Brownian half‐plane excursion and critical Liouville quantum gravity. Journal of the London Mathematical Society, 107(1), 441-509. https://doi.org/10.1112/jlms.12689

In a groundbreaking work, Duplantier, Miller and Sheffield showed that subcritical Liouville quantum gravity (LQG) coupled with Schramm–Loewner evolutions (SLE) can be obtained by gluing together a pair of Brownian motions. In this paper, we study th... Read More about Brownian half‐plane excursion and critical Liouville quantum gravity.

A characterisation of the continuum Gaussian free field in arbitrary dimensions (2022)
Journal Article
Aru, J., & Powell, E. (2022). A characterisation of the continuum Gaussian free field in arbitrary dimensions. Journal de l’École polytechnique — Mathématiques, 9, 1101-1120. https://doi.org/10.5802/jep.201

e prove that under certain mild moment and continuity assumptions, the d-dimensional continuum Gaussian free field is the only stochastic process satisfying the usual domain Markov property and a scaling assumption. Our proof is based on a decomposit... Read More about A characterisation of the continuum Gaussian free field in arbitrary dimensions.