Localization for a Class of Linear Systems

Details Localization for a Class of Linear Systems Localization for a Class of Linear Systems

2009-07-24

arxiv.org/abs/0907.4200v1

Mathematics

Probability

Scientific paper

We consider a class of continuous-time stochastic growth models on $d$-dimensional lattice with non-negative real numbers as possible values per site. The class contains examples such as binary contact path process and potlatch process. We show the equivalence between the slow population growth and localization property that the time integral of the replica overlap diverges. We also prove, under reasonable assumptions, a localization property in a stronger form that the spatial distribution of the population does not decay uniformly in space.

Affiliated with

Also associated with

No associations

Rating

Localization for a Class of Linear Systems 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 Localization for a Class of Linear Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localization for a Class of Linear Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-308840