Counting dimer coverings on self-similar Schreier graphs

Mathematics – Combinatorics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

29 pages. Final version, to appear in European Journal of Combinatorics

Scientific paper

We study partition functions for the dimer model on families of finite graphs converging to infinite self-similar graphs and forming approximation sequences to certain well-known fractals. The graphs that we consider are provided by actions of finitely generated groups by automorphisms on rooted trees, and thus their edges are naturally labeled by the generators of the group. It is thus natural to consider weight functions on these graphs taking different values according to the labeling. We study in detail the well-known example of the Hanoi Towers group $H^{(3)}$, closely related to the Sierpi\'nski gasket.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Counting dimer coverings on self-similar Schreier graphs 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 Counting dimer coverings on self-similar Schreier graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Counting dimer coverings on self-similar Schreier graphs will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-93711

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.