Jack Hanson

collaborators

3 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

Limiting distribution of the chemical distance in high dimensional critical percolation

Shirshendu Chatterjee, Pranav Chinmay, Jack Hanson +1

We identify the asymptotic distribution of the chemical distance in high-dimensional critical Bernoulli percolation. Namely, we show that the distance between the origin and a dist…

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

Limiting distribution of the chemical distance in high dimensional critical percolation

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

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