86 citations · 86 across the 2 of their papers we have counts for
5 papers
Almost sure functional central limit theorem for non-nestling random walk in random environment
Firas Rassoul-Agha, Timo Seppalainen
We consider a non-nestling random walk in a product random environment. We assume an exponential moment for the step of the walk, uniformly in the environment. We prove an invarian…
Existence of the zero range process and a deposition model with superlinear growth rates
M. Balázs, F. Rassoul-Agha, T. Seppäläinen +1
We give a construction of the zero range and bricklayers' processes in the totally asymmetric, attractive case. The novelty is that we allow jump rates to grow exponentially. Earli…
Ballistic Random Walk in a Random Environment with a Forbidden Direction
F. Rassoul-Agha, T. Seppalainen
We consider a ballistic random walk in an i.i.d. random environment that does not allow retreating in a certain fixed direction. Homogenization and regeneration techniques combine…
The random average process and random walk in a space-time random environment in one dimension
Marton Balazs, Firas Rassoul-Agha, Timo Seppalainen
We study space-time fluctuations around a characteristic line for a one-dimensional interacting system known as the random average process. The state of this system is a real-value…
An almost sure invariance principle for random walks in a space-time random environment
F. Rassoul-Agha, T. Seppalainen
We consider a discrete time random walk in a space-time i.i.d. random environment. We use a martingale approach to show that the walk is diffusive in almost every fixed environment…