The serial harness interacting with a wall

Details The serial harness interacting with a wall The serial harness interacting with a wall

2002-10-15

arxiv.org/abs/math/0210218v2

Stoch. Process. Appl. vol 114, 175-190 (2004)

Mathematics

Probability

18 pages. Version almost identical to the one published in SPA

Scientific paper

10.1016/j.spa.2004.05.003

The serial harnesses introduced by Hammersley describe the motion of a hypersurface of dimension d embedded in a space of dimension $d+1$. The height assigned to each site i of Z^d is updated by taking a weighted average of the heights of some of the neighbors of i plus a ``noise'' (a centered random variable). The surface interacts by exclusion with a ``wall'' located at level zero: the updated heights are not allowed to go below zero. We show that for any distribution of the noise variables and in all dimensions, the surface delocalizes. This phenomenon is related to the so called ``entropic repulsion''. For some classes of noise distributions, characterized by their tail, we give explicit bounds on the speed of the repulsion.

Affiliated with

Also associated with

No associations

Rating

The serial harness interacting with a wall 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 The serial harness interacting with a wall, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The serial harness interacting with a wall will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-150898