Mathematics – Probability
Scientific paper
2009-04-30
Annals of Probability 2010, Vol. 38, No. 6, 2258-2294
Mathematics
Probability
Published in at http://dx.doi.org/10.1214/10-AOP537 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of
Scientific paper
10.1214/10-AOP537
We study the current of particles that move independently in a common static random environment on the one-dimensional integer lattice. A two-level fluctuation picture appears. On the central limit scale the quenched mean of the current process converges to a Brownian motion. On a smaller scale the current process centered at its quenched mean converges to a mixture of Gaussian processes. These Gaussian processes are similar to those arising from classical random walks, but the environment makes itself felt through an additional Brownian random shift in the spatial argument of the limiting current process.
Peterson Jonathon
Seppalainen Timo
No associations
LandOfFree
Current fluctuations of a system of one-dimensional random walks in random environment does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Current fluctuations of a system of one-dimensional random walks in random environment, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Current fluctuations of a system of one-dimensional random walks in random environment will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-442946