Titus Lupu

collaborators

4 papers

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 $α > 0$ . We show the existence of a phase transition for the presence of unbounded clusters and stud…

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…

math.PR2018

The first passage sets of the 2D Gaussian free field: convergence and isomorphisms

Juhan Aru, Titus Lupu, Avelio Sepúlveda

In a previous article, we introduced the first passage set (FPS) of constant level $- a$ of the two-dimensional continuum Gaussian free field (GFF) on finitely connected domains. In…

math.PR2018

Fine mesh limit of the VRJP in dimension one and Bass-Burdzy flow

Titus Lupu, Christophe Sabot, Pierre Tarrès

We introduce a continuous space limit of the Vertex Reinforced Jump Process (VRJP) in dimension one, which we call Linearly Reinforced Motion (LRM) on $R$ . It is constructed out o…