3 papers
math.PR2026
Convergence of -point functions in high dimensional percolation
Shirshendu Chatterjee, Pranav Chinmay, Jack Hanson +1
We establish first-order asymptotics for the -point connectivity function in critical Bernoulli percolation on assuming and Hara's two-point asymptotic. For…
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 and other natural metrics (including the resistance) in high-dimensional critical percolation. When rescaled by the…
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…