Luca Makowiec

collaborators

3 papers

math.PR2026

Critical curve of loop percolation on the $d$ -regular tree

Luca Makowiec, Artem Sapozhnikov

We consider clusters formed by a Poisson ensemble of random walk loops on the $d$ -regular tree with an intensity parameter $α > 0$ and a killing parameter $κ > - 1$ ; the latter penalize…

math.PR2025

Repeat times and a two-weight UST model

Umberto De Ambroggio, Luca Makowiec

We study a model of random weighted uniform spanning trees on the complete graph with $n$ vertices, where each edge is assigned a weight of $n^{1 + γ}$ with probability $1/ n$ and $1$ …

math.PR2025

Observables of random spanning trees in random environment

Luca Makowiec

In this thesis, we study a new disordered system called random spanning tree in random environment (RSTRE) across different families of graphs with varying disorder distributions.…

Critical curve of loop percolation on the d-regular tree

Repeat times and a two-weight UST model

Observables of random spanning trees in random environment

Critical curve of loop percolation on the $d$ -regular tree