Crossing exponent in the Brownian loop soup
A Jego, T Lupu, W Qian - arXiv preprint arXiv:2303.03782, 2023 - arxiv.org
We study the clusters of loops in a Brownian loop soup in some bounded two-dimensional
domain with subcritical intensity $\theta\in (0, 1/2] $. We obtain an exact expression for the …
domain with subcritical intensity $\theta\in (0, 1/2] $. We obtain an exact expression for the …
Excursion decomposition of the 2D continuum GFF
J Aru, T Lupu, A Sepúlveda - arXiv preprint arXiv:2304.03150, 2023 - arxiv.org
In this note we show that the 2D continuum Gaussian free field (GFF) admits an excursion
decomposition that is on the one hand similar to the classical excursion decomposition of …
decomposition that is on the one hand similar to the classical excursion decomposition of …
Percolation of discrete GFF in dimension two II. Connectivity properties of two-sided level sets
We study percolation of two-sided level sets for the discrete Gaussian free field (DGFF) in
2D. For a DGFF $\varphi $ defined in a box $ B_N $ with side length $ N $, we show that …
2D. For a DGFF $\varphi $ defined in a box $ B_N $ with side length $ N $, we show that …
The height gap of planar Brownian motion is
A Jego, T Lupu, W Qian - arXiv preprint arXiv:2403.03040, 2024 - arxiv.org
We show that the occupation measure of planar Brownian motion exhibits a constant height
gap of $5/\pi $ across its outer boundary. This property bears similarities with the celebrated …
gap of $5/\pi $ across its outer boundary. This property bears similarities with the celebrated …
The height gap of planar Brownian motion is 5/π
A Jego, T Lupu, W Qian - 2024 - hal.science
We show that the occupation measure of planar Brownian motion exhibits a constant height
gap of 5/π across its outer boundary. This property bears similarities with the celebrated …
gap of 5/π across its outer boundary. This property bears similarities with the celebrated …