55 citations · 223 across the 31 of their papers we have counts for
39 papers
Convergence of -point functions in high dimensional percolation
Shirshendu Chatterjee, Pranav Chinmay, Jack Hanson +1
Consider critical Bernoulli percolation on for large; let be distinct points in . We prove that the probability that $\{\…
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…
Tail estimates for the stationary stochastic six vertex model and ASEP
Benjamin Landon, Philippe Sosoe
This work studies the tail exponents for the height function of the stationary stochastic six vertex model in the moderate deviations regime. For the upper tail of the height funct…
Global dynamics for the stochastic KdV equation with white noise as initial data
Tadahiro Oh, Jeremy Quastel, Philippe Sosoe
We study the stochastic Korteweg-de Vries equation (SKdV) with an additive space-time white noise forcing, posed on the one-dimensional torus. In particular, we construct global-in…
Tail bounds for the O'Connell-Yor polymer
Benjamin Landon, Philippe Sosoe
We derive upper and lower bounds for the upper and lower tails of the O'Connell-Yor polymer of the correct order of magnitude via probabilistic and geometric techniques in the mode…