GENERALIZED FIBONACCI NUMBERS AND DIMER STATISTICS
Copyright policy )GENERALIZED FIBONACCI NUMBERS AND DIMER STATISTICS
We establish new product identities involving the q-analogue of the Fibonacci numbers. We show that the identities lead to alternate expressions of generating functions for close-packed dimers on non-orientable surfaces.
- Northwestern University United States
- Northwestern University United States
- Northeastern University United States
Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics, Statistical Mechanics (cond-mat.stat-mech), Exact enumeration problems, generating functions, FOS: Physical sciences, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, FOS: Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, Mathematics - Combinatorics, Combinatorics (math.CO), Condensed Matter - Statistical Mechanics
Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics, Statistical Mechanics (cond-mat.stat-mech), Exact enumeration problems, generating functions, FOS: Physical sciences, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, FOS: Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, Mathematics - Combinatorics, Combinatorics (math.CO), Condensed Matter - Statistical Mechanics
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