24 citations · 110 across the 18 of their papers we have counts for
3 papers · 2 filters
Estimates for the empirical distribution along a geodesic in first-passage percolation
Michael Damron, Jack Hanson, Christopher Janjigian +2
In first-passage percolation, we assign i.i.d.~nonnegative weights to the nearest-neighbor edges of and study the induced pseudometric . In this…
A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential
Christopher Janjigian, Sergazy Nurbavliyev, Firas Rassoul-Agha
We prove a shape theorem and derive a variational formula for the limiting quenched Lyapunov exponent and the Green's function of random walk in a random potential on a square latt…
Right-tail moderate deviations in the exponential last-passage percolation
Elnur Emrah, Chris Janjigian, Timo Seppäläinen
We study moderate deviations in the exponential corner growth model, both in the bulk setting and the increment-stationary setting. The main results are sharp right-tail bounds on…