3 papers
math.PR2026
Phase transition for strongly correlated percolation models on supercritical Bernoulli clusters
Alberto Chiarini, Zhizhou Liu, Maximilian Nitzschner
We consider the level sets of the Gaussian free field and the vacant set of random interlacements, both defined on a typical realization of the infinite cluster of supercritical Be…
math.PR2025
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 , , including Bernoulli percolation as well as models…
math.NA2024
Numerical Unique Ergodicity of Monotone SDEs driven by Nondegenerate Multiplicative Noise
Zhihui Liu, Zhizhou Liu
We first establish the unique ergodicity of the stochastic theta method (STM) with for monotone SODEs, without growth restriction on the coefficients, driven by non…