The double-dimer model and skew Young diagrams Richard W. Kenyon David B. Wilson Brown University Microsoft Research TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAA A A A A AA A A A A
The double-dimer model
Kasteleyn matrix (bipartite version)
The double-dimer model
Assume (wlog) that nodes alternate in color
Probability of pairing in DD model
Other connection topologies For six nodes, get all 5 connection topologies
What if there are more nodes? With 2n nodes, # crossing types is n th Catalan number. Can we compute all their probabilities?