Explicit R-matrices for inhomogeneous 3D chiral Potts models: Integrability and the action formulation for IM
Sign Up to like & getrecommendations! 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… read more here.
Keywords: potts models; action; chiral potts; explicit matrices ... See more keywords
Selection of sequence motifs and generative Hopfield-Potts models for protein families.
Sign Up to like & getrecommendations! 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… read more here.
Keywords: hopfield potts; potts; sequence motifs; potts models ... See more keywords
Simulating Ising and n-State Planar Potts Models and External Fields with Nonequilibrium Condensates.
Sign Up to like & getrecommendations! 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… read more here.
Keywords: state planar; potts models; planar potts; ising state ... See more keywords
Consensus of Julia Sets of Potts Models on Diamond-Like Hierarchical Lattice
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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… read more here.
Keywords: models diamond; consensus; julia; diamond like ... See more keywords
Remote homology search with hidden Potts models
Sign Up to like & getrecommendations! 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… read more here.
Keywords: potts models; hidden potts; homology; homology search ... See more keywords