Jack Hanson

collaborators

2 papers

math.PR2026

Convergence of $k$ -point functions in high dimensional percolation

Shirshendu Chatterjee, Pranav Chinmay, Jack Hanson +1

Consider critical Bernoulli percolation on $Z^{d}$ for $d$ large; let $y_{0}, \dots, y_{k - 1}$ be $k$ distinct points in $R^{d}$ . We prove that the probability that $\{\…

math.PR2025

Robust construction of the incipient infinite cluster in high dimensional critical percolation

Shirshendu Chatterjee, Pranav Chinmay, Jack Hanson +1

We give a new construction of the incipient infinite cluster (IIC) associated with high-dimensional percolation in a broad setting and under minimal assumptions. Our arguments diff…

Convergence of k-point functions in high dimensional percolation

Robust construction of the incipient infinite cluster in high dimensional critical percolation

Convergence of $k$ -point functions in high dimensional percolation