Physics – Condensed Matter
Scientific paper
1996-09-02
Physics
Condensed Matter
34 pages, LaTeX, uses amstex and righttag, figure available upon request at fvw@stat.th.u-psud.fr
Scientific paper
We study the support (i.e. the set of visited sites) of a t step random walk on a two-dimensional square lattice in the large t limit. A broad class of global properties M(t) of the support is considered, including, e.g., the number S(t) of its sites; the length of its boundary; the number of islands of unvisited sites that it encloses; the number of such islands of given shape, size, and orientation; and the number of occurrences in space of specific local patterns of visited and unvisited sites. On a finite lattice we determine the scaling functions that describe the averages
Caser S.
Hilhorst Hendrik-Jan
Wijland van F.
No associations
LandOfFree
Topology of the support of the two-dimensional random walk 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 Topology of the support of the two-dimensional random walk, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topology of the support of the two-dimensional random walk will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-63033