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The Cartographer
Uniqueness, Spatial Mixing, and Approximation for Ferromagnetic 2-Spin Systems
November 02, 2015 Β· Declared Dead Β· π TOCT
"No code URL or promise found in abstract"
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Authors
Heng Guo, Pinyan Lu
arXiv ID
1511.00493
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DM
Citations
19
Venue
TOCT
Last Checked
3 months ago
Abstract
We give fully polynomial-time approximation schemes (FPTAS) for the partition function of ferromagnetic 2-spin systems in certain parameter regimes. The threshold we obtain is almost tight up to an integrality gap. Our technique is based on the correlation decay framework. The main technical contribution is a new potential function, with which we establish a new kind of spatial mixing.
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