Mathematics – Probability
Scientific paper
2010-03-29
Mathematics
Probability
8 pages
Scientific paper
In \cite{J} M. Jara has presented a method, reducing the proof of the hydrodynamic limit of symmetric exclusion processes to an homogenization problem, as unified approach to recent works on the field as \cite{N}, \cite{F1}, \cite{F2} and \cite{FJL}. Although not stated in \cite{J}, the reduction of the hydrodynamic limit to an homogenization problem was already obtained (in a different way) in \cite{N}, \cite{F1}. This alternative and very simple relation between the two problems goes back to an idea of K.\ Nagy \cite{N}, is stated in \cite{F1}[Section B] for exclusion processes on $\bbZ^d$ and, as stressed in \cite{F2}, is completely general. The above relation has been applied to \cite{N}, \cite{F1}, \cite{F2} and \cite{FJL} and could be applied to other symmetric exclusion processes, mentioned in \cite{J}. In this short note we briefly recall this unified approach in a complete general setting. Finally, we recall how the homogenization problem has been solved in the above previous works.
No associations
LandOfFree
Hydrodynamic limit of symmetric exclusion processes in inhomogeneous media 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 Hydrodynamic limit of symmetric exclusion processes in inhomogeneous media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hydrodynamic limit of symmetric exclusion processes in inhomogeneous media will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-499707