21 citations · 21 across the 3 of their papers we have counts for
8 papers
Second-order fluctuations and current across characteristic for a one-dimensional growth model of independent random walks
Timo Seppalainen
Fluctuations from a hydrodynamic limit of a one-dimensional asymmetric system come at two levels. On the central limit scale n^{1/2} one sees initial fluctuations transported along…
Behavior dominated by slow particles in a disordered asymmetric exclusion process
Ilie Grigorescu, Min Kang, Timo Seppalainen
We study the large space and time scale behavior of a totally asymmetric, nearest-neighbor exclusion process in one dimension with random jump rates attached to the particles. When…
An upper bound on the fluctuations of a second class particle
Timo Seppalainen
This note proves an upper bound for the fluctuations of a second-class particle in the totally asymmetric simple exclusion process. The proof needs a lower tail estimate for the la…
Transience of second-class particles and diffusive bounds for additive functionals in one-dimensional asymmetric exclusion processes
Timo Seppalainen, Sunder Sethuraman
Consider a one-dimensional exclusion process with finite-range translation-invariant jump rates with non-zero drift. Let the process be stationary with product Bernoulli invariant…
Hydrodynamic profiles for the totally asymmetric exclusion process with a slow bond
Timo Seppalainen
We study a totally asymmetric simple exclusion process where jumps happen at rate one, except at the origin where the rate is lower. We prove a hydrodynamic scaling limit to a macr…
Perturbation of the equilibrium for a totally asymmetric stick process in one dimension
Timo Seppalainen
We study the evolution of a small perturbation of the equilibrium of a totally asymmetric one-dimensional interacting system. The model we take as example is Hammersley's process a…