9 citations · 18 across the 3 of their papers we have counts for
7 papers
Ergodicity and synchronization of the Kardar-Parisi-Zhang equation
Christopher Janjigian, Firas Rassoul-Agha, Timo Seppäläinen
The Kardar-Parisi-Zhang (KPZ) equation on the real line is well-known to admit Brownian motion with a linear drift as a stationary distribution (modulo additive constants). We show…
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…
Flats, spikes and crevices: the evolving shape of the inhomogeneous corner growth model
Elnur Emrah, Christopher Janjigian, Timo Seppäläinen
We study the macroscopic evolution of the growing cluster in the exactly solvable corner growth model with independent exponentially distributed waiting times. The rates of the exp…
Uniqueness and ergodicity of stationary directed polymers on
Christopher Janjigian, Firas Rassoul-Agha
We study the ergodic theory of stationary directed nearest-neighbor polymer models on , with i.i.d. weights. Such models are equivalent to specifying a stationary dist…
Upper tail large deviations in Brownian directed percolation
Christopher Janjigian
This paper presents a new, short proof of the computation of the upper tail large deviation rate function for the Brownian directed percolation model. Through a distributional equi…