Titus Lupu

collaborators

5 papers

math.PR2026

Renormalised two-point functions of CLE $_{4}$ gaskets

Juhan Aru, Titus Lupu

We first consider nested CLE $_{4}$ in a simply-connected domain and compute some exact renormalised probabilities: the probability that two points belong to the same CLE $_{4}$ gasket a…

math.PR2026

Intensity doubling for Brownian loop-soups in high dimensions

Titus Lupu, Wendelin Werner

We derive an intensity doubling feature of critical Brownian loop-soups on the cable-graphs of $Z^{d}$ for $d \geq 7$ that can be described as follows: In the box $[-N, N]^d…

math.PR2026

The height gap of planar Brownian motion is $\frac{5}{I ¨} $

Antoine Jego, Titus Lupu, Wei Qian

We show that the occupation measure of planar Brownian motion exhibits a constant height gap of $5/ I ¨ $ across its outer boundary. This property bears similarities with the celebrat…

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 $I^\pm > 0$ . We show the existence of a phase transition for the presence of unbounded clusters and stu…

math.PR2025

Relation between Wick powers and excursion clusters of the 2D GFF

Titus Lupu

We study the decomposition of the Wick powers of the continuum GFF in dimension $2$ via the first passage sets (FPS) and the excursion clusters (sign components) of the GFF. These…

Renormalised two-point functions of CLE4​ gaskets

Intensity doubling for Brownian loop-soups in high dimensions

The height gap of planar Brownian motion is I¨5​

Three-dimensional Brownian loop soup clusters

Relation between Wick powers and excursion clusters of the 2D GFF

Renormalised two-point functions of CLE $_{4}$ gaskets

The height gap of planar Brownian motion is $\frac{5}{I ¨} $