Mean number of visits to sites in Levy flights

Details Mean number of visits to sites in Levy flights Mean number of visits to sites in Levy flights

2006-05-15

arxiv.org/abs/physics/0605119v1

Physics

Data Analysis, Statistics and Probability

9 pages 3 figures. Accepted for publication on Physical Review E

Scientific paper

10.1103/PhysRevE.73.057102

Formulas are derived to compute the mean number of times a site has been visited during symmetric Levy flights. Unrestricted Levy flights are considered first, for lattices of any dimension: conditions for the existence of finite asymptotic maps of the visits over the lattice are analysed and a connection is made with the transience of the flight. In particular it is shown that flights on lattices of dimension greater than one are always transient. For an interval with absorbing boundaries the mean number of visits reaches stationary values, which are computed by means of numerical and analytical methods; comparisons with Monte Carlo simulations are also presented.

Affiliated with

Also associated with

No associations

Rating

Mean number of visits to sites in Levy flights 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 Mean number of visits to sites in Levy flights, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mean number of visits to sites in Levy flights will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-622602