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math.PR2021
Subcritical Connectivity and Some Exact Tail Exponents in High Dimensional Percolation
Shirshendu Chatterjee, Jack Hanson, Philippe Sosoe
In high dimensional percolation at parameter , the one-arm probability is known to decay exponentially on scale . We show the same statement for…
math.PR2018
The effect of avoiding known infected neighbors on the persistence of a recurring infection process
Shirshendu Chatterjee, David Sivakoff, Matthew Wascher
We study a generalization of the classical contact process (SIS epidemic model) in a directed graph . Our model is a continuous-time interacting particle system in which at ever…
math.PR2018
Restricted percolation critical exponents in high dimensions
Shirshendu Chatterjee, Jack Hanson
Despite great progress in the study of critical percolation on for large, properties of critical clusters in high-dimensional fractional spaces and boxes remain…