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We study the complex zeros of the partition function of the Ising model, viewed as a polynomial in the "interaction parameter"; these are known as Fisher zeros in light of their introduction by Fisher in 1965.
Deterministic polynomial-time approximation algorithms for partition functions and graph polynomials
Patel, V., and Regts, G · 1919
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Beitrag zur Theorie des Ferromagnetismus
Ising, E · 1925
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Statistical theory of equations of state and phase transitions. II. Lattice gas and Ising model
Lee, T. D., and Yang, C. N · 1952
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Statistical theory of equations of state and phase transitions. I. Theory of condensation
Yang, C. N., and Lee, T. D · 1952
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The nature of critical points
Fisher, M. E · 1965
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Matchings and walks in graphs
Godsil, C. D · 1981
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On a problem of Spencer
Shearer, J. B · 1985
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Gibbs Measures and Phase Transitions
Georgii, H.-O · 1988
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The Ising model and percolation on trees and tree-like graphs
Lyons, R · 1989
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Density of the Fisher Zeroes for the Ising Model
Lu, W. T., and Wu, F. Y · 2001
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The repulsive lattice gas, the independent-set polynomial, and the Lovász local lemma
Scott, A., and Sokal, A · 2004
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Counting independent sets up to the tree threshold
Weitz, D · 2006
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Counting without sampling: Asymptotics of the log-partition function for certain statistical physics models
Bandyopadhyay, A., and Gamarnik, D · 2008
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Partition function zeros of the antiferromagnetic Ising model on triangular lattice in the complex temperature plane for nonzero magnetic field
Kim, S.-Y., Hwang, C.-O., and Kim, J. M · 2008
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Approximating partition functions of the two-state spin system
Zhang, J., Liang, H., and Bai, F · 2011
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Correlation decay up to uniqueness in spin systems
Li, L., Lu, P., and Yin, Y · 2013
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Computing the partition function for graph homomorphisms with multiplicities
Barvinok, A., and Soberón, P · 2016
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A generalization of permanent inequalities and applications in counting and optimization
Anari, N., and Gharan, S. O · 2017
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Combinatorics and Complexity of Partition Functions
Barvinok, A · 2017
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Computing the partition function for graph homomorphisms
Barvinok, A., and Soberón, P · 2017
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The Ising partition function: Zeros and deterministic approximation
Liu, J., Sinclair, A., and Srivastava, P · 2017
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Counting in two-spin models on d d -regular graphs
Sly, A., and Sun, N · 2014
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Bencs, F., and Csikvári, P · 2018
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