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math.PR2022★ 9 cited
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…
math.PR2022★ 1 cited
The Green's function of the parabolic Anderson model and the continuum directed polymer
Tom Alberts, Christopher Janjigian, Firas Rassoul-Agha +1
We build a regular version of the field which describes the Green's function, or fundamental solution, of the parabolic Anderson model (PAM) with white noise forcing…