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Published in 2021 at "Annals of Physics"
DOI: 10.1016/j.aop.2021.168735
Abstract: We construct the exact spectral parameter dependent vertex R-matrix for the classical 3D N -state chiral Potts models, convenient for considering the model in context of the Bethe ansatz. The R-matrix is defined on the…
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Keywords:
potts models;
action;
chiral potts;
explicit matrices ... See more keywords
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Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.100.032128
Abstract: Statistical models for families of evolutionary related proteins have recently gained interest: In particular, pairwise Potts models as those inferred by the direct-coupling analysis have been able to extract information about the three-dimensional structure of…
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Keywords:
hopfield potts;
potts;
sequence motifs;
potts models ... See more keywords
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Published in 2018 at "Physical review letters"
DOI: 10.1103/physrevlett.121.235302
Abstract: Classical spin models with discrete or continuous degrees of freedom arise in many studies of complex physical systems. A wide class of hard real-life optimization problems can be formulated as a minimization of a spin…
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Keywords:
state planar;
potts models;
planar potts;
ising state ... See more keywords
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Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3226622
Abstract: The limit sets of zeros of the partition function for $\lambda $ -state Potts models on diamond-like hierarchical lattice are the Julia sets of functions in a family of rational functions. In this paper, the…
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Keywords:
models diamond;
consensus;
julia;
diamond like ... See more keywords
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Published in 2020 at "PLoS Computational Biology"
DOI: 10.1371/journal.pcbi.1008085
Abstract: Most methods for biological sequence homology search and alignment work with primary sequence alone, neglecting higher-order correlations. Recently, statistical physics models called Potts models have been used to infer all-by-all pairwise correlations between sites in…
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Keywords:
potts models;
hidden potts;
homology;
homology search ... See more keywords