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arxiv: 0910.3129 · v1 · submitted 2009-10-16 · 🧮 math.PR · math-ph· math.MP

Lectures on Dimers

classification 🧮 math.PR math-phmath.MP
keywords lecturesaspectsbipartitecitycoverdimerdimersfluctuations
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These are lecture notes for lectures at the Park City Math Institute, summer 2007. We cover aspects of the dimer model on planar, periodic bipartite graphs, including local statistics, limit shapes and fluctuations.

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  1. Group Convolutional Neural Network for the Low-Energy Spectrum in the Quantum Dimer Model

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    GCNN variational states optimized with directed-loop sampling yield a 4-fold degenerate ground state for V ≤ 0.4 in the quantum dimer model, with benchmarks matching ED and QMC up to L=32.