Uniqueness, Spatial Mixing, and Approximation for Ferromagnetic 2-Spin Systems

Heng Guo, Pinyan Lu

Research output: Contribution to journalArticlepeer-review

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
Original languageEnglish
Number of pages27
JournalACM Transactions on Computation Theory
Publication statusAccepted/In press - 5 Jul 2018

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