Alberto Chiarini

activity

20242026

collaborators

5 papers

math.PR2026

Solidification estimates for random walks on supercritical percolation clusters

Alberto Chiarini, Zhizhou Liu, Maximilian Nitzschner

We consider the simple random walk on the infinite cluster of a general class of percolation models on $Z^{d}$ , $d \geq 3$ , including Bernoulli percolation as well as models…

math.PR2025

Hard wall repulsion for the discrete Gaussian free field in random environment on $Z^{d}$ , $d \geq 3$

Alberto Chiarini, Emanuele Pasqui

We study the discrete Gaussian free field (harmonic crystal) on $Z^{d}$ , $d \geq 3$ , with uniformly elliptic and bounded random conductances sampled according to a sufficient…

math.PR2025

A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn's algorithm

Alberto Chiarini, Giovanni Conforti, Giacomo Greco +1

We study stability of optimizers and convergence of Sinkhorn's algorithm for the entropic optimal transport problem. In the special case of the quadratic cost, our stability bounds…

math.PR2025

Lower bounds for bulk deviations for the simple random walk on $Z^{d}$ , $d \geq 3$

Alberto Chiarini, Maximilian Nitzschner

This article investigates the behavior of the continuous-time simple random walk on $Z^{d}$ , $d \geq 3$ . We derive an asymptotic lower bound on the principal exponential rat…

math.PR2024

Fractional kinetics equation from a Markovian system of interacting Bouchaud trap models

Alberto Chiarini, Simone Floreani, Federico Sau

We consider a partial exclusion process evolving on $Z^{d}$ in a random trapping environment. In dimension $d \geq 2$ , we derive the fractional kinetics equation \begin{equatio…

Solidification estimates for random walks on supercritical percolation clusters

Hard wall repulsion for the discrete Gaussian free field in random environment on Zd, d≥3

A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn's algorithm

Lower bounds for bulk deviations for the simple random walk on Zd, d≥3

Fractional kinetics equation from a Markovian system of interacting Bouchaud trap models

Hard wall repulsion for the discrete Gaussian free field in random environment on $Z^{d}$ , $d \geq 3$

Lower bounds for bulk deviations for the simple random walk on $Z^{d}$ , $d \geq 3$