Directed Random Walk on the Lattices of Genus Two

Details Directed Random Walk on the Lattices of Genus Two Directed Random Walk on the Lattices of Genus Two

2011-12-10

arxiv.org/abs/1112.2278v1

Int. J. Mod. Phys. B, Vol. 25, No. 26 (2011) pp. 3415-3433

Physics

Mathematical Physics

17 pages, 8 figures

Scientific paper

The object of the present investigation is an ensemble of self-avoiding and directed graphs belonging to eight-branching Cayley tree (Bethe lattice) generated by the Fucsian group of a Riemann surface of genus two and embedded in the Pincar\'e unit disk. We consider two-parametric lattices and calculate the multifractal scaling exponents for the moments of the graph lengths distribution as functions of these parameters. We show the results of numerical and statistical computations, where the latter are based on a random walk model.

Affiliated with

Also associated with

No associations

Rating

Directed Random Walk on the Lattices of Genus Two 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 Directed Random Walk on the Lattices of Genus Two, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Directed Random Walk on the Lattices of Genus Two will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-381596