Browsing by Subject "partition function"

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    Dimer model: Full asymptotic expansion of the partition function
    (AIP, 2018) Bleher, Pavel; Elwood, Brad; Petrović, Dražen; Mathematical Sciences, School of Science
    We give a complete rigorous proof of the full asymptotic expansion of the partition function of the dimer model on a square lattice on a torus for general weights zh, zv of the dimer model and arbitrary dimensions of the lattice m, n. We assume m is even and we show that the asymptotic expansion depends on the parity of n. We review and extend the results of Ivashkevich et al. [J. Phys. A: Math. Gen. 35, 5543 (2002)] on the full asymptotic expansion of the partition function of the dimer model, and we give a rigorous estimate of the error term in the asymptotic expansion of the partition function.
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    Topological Expansion in the Complex Cubic Log–Gas Model: One-Cut Case
    (2017-02) Bleher, Pavel; Deaño, Alfredo; Yattselev, Maxim; Department of Mathematical Sciences, School of Science
    We prove the topological expansion for the cubic log–gas partition function ZN(t)=∫Γ⋯∫Γ ∏1≤j