Area distribution of two-dimensional random walks on a square lattice

Details Area distribution of two-dimensional random walks on a square lattice Area distribution of two-dimensional random walks on a square lattice

2009-05-10

arxiv.org/abs/0905.1488v2

Physics

Condensed Matter

Statistical Mechanics

8 pages, LaTeX 2e. Reformulated in terms of q-commutators

Scientific paper

The algebraic area probability distribution of closed planar random walks of length N on a square lattice is considered. The generating function for the distribution satisfies a recurrence relation in which the combinatorics is encoded. A particular case generalizes the q-binomial theorem to the case of three addends. The distribution fits the L\'evy probability distribution for Brownian curves with its first-order 1/N correction quite well, even for N rather small.

Affiliated with

Also associated with

No associations

Rating

Area distribution of two-dimensional random walks on a square lattice 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 Area distribution of two-dimensional random walks on a square lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Area distribution of two-dimensional random walks on a square lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-570541