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Pfaffian method for solving dimer and Ising problems for finite lattice graphs

Mathematical Physics & Probability

Speaker: Martin Loebl, Charles University, Prague & Georgia Tech, Atlanta
Location: 593 Kerr
Start time: Thu, Oct 19 2000, 2:10PM

A Pfaffian method to express the partition functions of the dimer problem and the Ising problem for arbitrary finite lattice graphs will be introduced. As a consequence I present new formulas for 3-dimensional problems and computation results for 2-dimensional problems.