Fluctuations of a Surface Submitted to a Random Average Process
نویسندگان
چکیده
منابع مشابه
Fluctuations of a surface submitted to a random average process
We consider a hypersurface of dimension d imbedded in a d + 1 dimensional space. For each x 2 Z d , let t (x) 2 R be the height of the surface at site x at time t. At rate 1 the x-th height is updated to a random convex combination of the heights of thèneighbors' of x. The distribution of the convex combination is translation invariant and does not depend on the heights. This motion, named the ...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 1998
ISSN: 1083-6489
DOI: 10.1214/ejp.v3-28