5 papers
Inhomogeneous Long-Range First-Passage Percolation in a Random Vertex Environment
Shirshendu Chatterjee, Partha S. Dey, Daecheol Kim
We study inhomogeneous long-range first-passage percolation on with edge passage times , where vertex weights have polynomial uppe…
-Skewed Maximal Spanning Forests
Shirshendu Chatterjee, Yang Chen, Grigory Terlov
The Free -Maximal Spanning Forest (FMaxSF) is a weighted generalization of the classical Free Minimal Spanning Forest (FMSF) that is able to detect nonhyperfiniteness i…
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…
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…
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…