arXiv subjects

E. Andjel

Publications and source records attributed to E. Andjel.

2 recordsLinked to original sources

arXiv2007

Ergodic behaviour of "signed voter models"

We consider some questions raised by the recent paper of Gantert, Löwe and Steif (2005) concerning ``signed'' voter models on locally finite graphs. These are voter model like processes with the difference that the edges are considered to be either positive or negative. If an edge between a site $x$ and a site $y$ is negative (respectively positive) the site $y$ will contribute towards the flip rate of $x$ if and only if the two current spin values are equal (respectively opposed).

math.PR↗

arXiv2003

Law of large numbers for the asymmetric simple exclusion process

We consider simple exclusion processes on Z for which the underlying random walk has a finite first moment and a non-zero mean and whose initial distributions are product measures with different densities to the left and to the right of the origin. We prove a strong law of large numbers for the number of particles present at time t in an interval growing linearly with t.

math.PR↗