- The bulk one‐arm exponent for the CLE κ′ percolations
2024/10/16 by Haoyu Liu, Liu, Haoyu, Xin Sun +8 · 2 citations
Mathematics · Physics and Astronomy · #Chiral Potts curve #Conformal field theory #Conformal map #Critical exponent #Exponent #Gaussian free field #Geometry #Kappa #Linguistics #Mathematics #Philosophy #Physics #Potts model #Random Matrices and Applications #Scaling #Scaling limit #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- Finite-m scaling analysis of Berezinskii-Kosterlitz-Thouless phase transitions and entanglement spectrum for the six-state clock model
2020/01/31 by Hiroshi Ueda, Kouichi Okunishi, Kenji Harada +4 · 1 citation
Mathematics · Physics and Astronomy · #Conformal field theory #Conformal map #Critical phenomena #Fixed point #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Potts model #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum field theory #Quantum many-body systems #Quantum mechanics #Renormalization group #Scaling #Scaling dimension #Transfer matrix #cond-mat.stat-mech #cond-mat.str-el #hep-lat
- Excitation spectrum and density matrix renormalization group iterations
2017/05/31 by Natalia Chepiga, Frédéric Mila · 1 citation
Mathematics · Physics and Astronomy · #Degenerate energy levels #Density matrix renormalization group #Eigenvalues and eigenvectors #Excitation #Excited state #Ground state #Hamiltonian (control theory) #Ising model #Mathematics #Matrix multiplication #Matrix product state #Physics #Physics of Superconductivity and Magnetism #Potts model #Quantum #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Renormalization group #cond-mat.str-el
- Applications of neural networks to the studies of phase transitions of two-dimensional Potts models
2017/03/31 by C.-D. Li, Chian-De Li, D.-R. Tan +3 · 1 citation
Materials Science · Physics and Astronomy · #Artificial neural network #Critical phenomena #Machine Learning in Materials Science #Monte Carlo method #Phase (matter) #Phase transition #Potts model #Quantum many-body systems #Simple (philosophy) #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech #hep-lat
- Universality aspects of the d=3 random-bond Blume-Capel model
2012/03/05 by A. Malakis, A. Nihat Berker, Malakis, A. +7 · 1 citation
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Condensed matter physics #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Geometry #Ising model #Lattice (music) #Mathematics #Opinion Dynamics and Social Influence #Phase transition #Physics #Potts model #Quantum mechanics #Randomness #Renormalization group #Scaling #Statistical Mechanics (cond-mat.stat-mech) #Statistical physics #Statistics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.dis-nn #cond-mat.stat-mech
- The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1
2011/03/17 by Vincent Beffara, Hugo Duminil-Copin, Hugo Duminil‐Copin · 1 citation
Mathematics · Physics and Astronomy · #Cluster (spacecraft) #Combinatorics #Conjecture #Critical point (mathematics) #Discrete mathematics #Exponential function #Hexagonal lattice #Ising model #Lattice (music) #Mathematical analysis #Mathematics #Phase transition #Physics #Point process #Potts model #Quantum mechanics #Random Matrices and Applications #Square lattice #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- Computing Tutte Polynomials
2010/09/01 by Gary Haggard, David J. Pearce, Gordon Royle · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Stochastic processes and statistical mechanics #Markov Chains and Monte Carlo Methods #Tutte polynomial #Chromatic polynomial #Potts model #Combinatorics #Mathematics #Discrete mathematics #Graph coloring #Bracket polynomial #Polynomial #Matrix polynomial #Graph #Voltage graph #Alternating polynomial #Line graph
- Computing the Tutte Polynomial in Vertex-Exponential Time
2008/10/01 by Andreas Björklund, Thore Husfeldt, Petteri Kaski +1 · 2 citations
Computer Science · Mathematics · #Advanced Graph Theory Research #Advanced Combinatorial Mathematics #Markov Chains and Monte Carlo Methods #Tutte polynomial #Chromatic polynomial #Combinatorics #Mathematics #Potts model #Discrete mathematics #Time complexity #Graph coloring #Ising model #Voltage graph #Graph #Line graph
- Detecting modules in dense weighted networks with the Potts method
2008/04/30 by Tapio Heimo, Jussi M Kumpula, Jussi Kumpula +3 · 1 citation
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Correlation #Modular design #Multiresolution analysis #Potts model #Random Matrices and Applications #Resolution (logic) #Theoretical and Computational Physics #physics.soc-ph
- Schramm–Loewner evolution in the three-state Potts model—a numerical study
2007/05/31 by Adam Gamsa, John Cardy · 1 citation
Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Chiral Potts curve #Domain (mathematical analysis) #Ising model #Limit (mathematics) #Opinion Dynamics and Social Influence #Potts model #Quantum many-body systems #Scaling #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP
- Duality and defects in rational conformal field theory
2006/07/31 by Jürg Fröhlich, Jürgen Fuchs, Ingo Runkel +1 · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Central charge #Condensed matter physics #Conformal field theory #Conformal map #Conformal symmetry #Duality (order theory) #Field (mathematics) #Field theory (psychology) #Geometry #Homogeneous space #Ising model #Mathematical analysis #Mathematical physics #Mathematics #Physics #Potts model #Pure mathematics #Quantum many-body systems #Symmetry (geometry) #Theoretical physics #hep-th #math.CT
- The multivariate Tutte polynomial (alias Potts model) for graphs and matroids
2005/03/25 by Alan D. Sokal · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Chromatic polynomial #Combinatorics #Discrete mathematics #Graph #Graphic matroid #Line graph #Mathematical analysis #Mathematics #Matroid #Matroid partitioning #Partition function (quantum field theory) #Phase transition #Physics #Polynomial #Potts model #Quantum mechanics #Spanning tree #Theoretical and Computational Physics #Topological and Geometric Data Analysis #Tutte polynomial #Voltage graph #cond-mat.stat-mech #math-ph #math.CO #math.MP #msc:05B35 #msc:05C99 #msc:82B20 #msc:94C15
- Chromatic roots are dense in the whole complex plane
2000/12/31 by Alan D. Sokal · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Alias #Chromatic polynomial #Chromatic scale #Combinatorics #Complex plane #Corollary #Discrete mathematics #Geometry #Graph #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Partition (number theory) #Physics #Planar #Planar graph #Plane (geometry) #Potts model #Pure mathematics #Topological and Geometric Data Analysis #cond-mat.stat-mech #math-ph #math.CO #math.CV #math.MP
- Ground State Entropy of the Potts Antiferromagnet on Triangular Lattice Strips
2000/04/13 by Shu-Chiuan Chang, Robert Shrock · 3 citations
Materials Science · Mathematics · Physics and Astronomy · #Antiferromagnetism #Boundary value problem #Exponent #Ground state #Hexagonal lattice #Lattice (music) #Physics of Superconductivity and Magnetism #Potts model #Quasicrystal Structures and Properties #STRIPS #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #math-ph #math.MP
- The Potts model and the Tutte polynomial
2000/03/01 by Dominic Welsh, Criel Merino · 4 citations
Mathematics · #Advanced Combinatorial Mathematics #Stochastic processes and statistical mechanics #Mathematical Dynamics and Fractals #Potts model #Tutte polynomial #Chiral Potts curve #Partition function (quantum field theory) #Mathematics #Combinatorics #Polynomial #Square lattice #Lattice (music) #Chromatic polynomial #Discrete mathematics #Statistical physics #Ising model #Graph #Physics #Mathematical analysis #Quantum mechanics
- Geometry, thermodynamics, and finite-size corrections in the critical Potts model
1999/05/31 by Chin-Kun Hu, Chin‐Kun Hu, Jau-Ann Chen +3 · 1 citation
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Connection (principal bundle) #Critical exponent #Critical point (mathematics) #Exponent #Geometry #Ising model #Mathematical physics #Mathematics #Percolation (cognitive psychology) #Physics #Potts model #Scaling #Singularity #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
- Nonexponential relaxation in fully frustrated models
1997/10/27 by A. Fierro, Annalisa Fierro, A. de Candia +2 · 1 citation
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · Psychology · #Complex Systems and Time Series Analysis #Condensed matter physics #Critical exponent #Directed percolation #Exponential function #Ferromagnetism #Frustration #Geometrical frustration #Ising model #Ising spin #Mathematics #Percolation (cognitive psychology) #Percolation threshold #Phase transition #Physics #Potts model #Psychology #Quantum many-body systems #Quantum mechanics #Renormalization group #Spin glass #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech
- Monte Carlo simulations of conformal theory predictions for the three-state Potts model
1995/10/27 by Gerard Barkema, G. T. Barkema, John McCabe · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Conformal field theory #Conformal map #Coulomb #Formalism (music) #Monte Carlo method #Monte Carlo method in statistical physics #Monte Carlo molecular modeling #Physics of Superconductivity and Magnetism #Potts model #Theoretical and Computational Physics #hep-lat
- Strict inequality for critical values of Potts models and random-cluster processes
1993/11/01 by C. E. Bezuidenhout, Carol Bezuidenhout, Geoffrey Grimmett +3 · 8 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Cluster (spacecraft) #Computer science #Concentration inequality #Context (archaeology) #Critical exponent #Critical point (mathematics) #Exponent #Geometry #Ising model #Mathematical analysis #Mathematics #Percolation (cognitive psychology) #Percolation critical exponents #Physics #Point process #Potts model #Pure mathematics #Random Matrices and Applications #Representation (politics) #Scaling #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- Virasoro characters from bethe equations for the critical ferromagnetic three-state potts model
1993/04/29 by S. Dasmahapatra, Srinandan Dasmahapatra, Rinat Kedem +5 · 2 citations
Mathematics · Physics and Astronomy · #Algorithm #Chiral Potts curve #Condensed matter physics #Ferromagnetism #Ising model #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Potts model #Quantum many-body systems #State (computer science) #Statistical physics #Theoretical and Computational Physics #hep-th
- DEFORMATIONS OF DYNAMICS ASSOCIATED TO THE CHIRAL POTTS MODEL
1992/07/31 by M. P. Bellon, Marc Bellon, J-M. Maillard +3 · 1 citation
Physics and Astronomy · #Chiral Potts curve #Dynamics (music) #Nonlinear Waves and Solitons #Physics #Potts model #Quantum chaos and dynamical systems #Statistical physics #Theoretical and Computational Physics #hep-th
- The Computational Complexity of the Tutte Plane: the Bipartite Case
1992/06/01 by Dirk Vertigan, Dominic Welsh · 2 citations
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Advanced Graph Theory Research #Bipartite graph #Chromatic polynomial #Combinatorics #Computer science #Discrete mathematics #Graph #Ising model #Markov Chains and Monte Carlo Methods #Mathematics #Partition (number theory) #Partition function (quantum field theory) #Physics #Planar #Planar graph #Potts model #Spanning tree #Statistical physics #Tutte polynomial #Voltage graph
- Zeroes of chromatic polynomials: A new approach to Beraha conjecture using quantum groups
1990/09/01 by Hubert Saleur, H. Saleur · 8 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Chiral Potts curve #Chromatic polynomial #Combinatorics #Conjecture #Discrete mathematics #Eigenvalues and eigenvectors #Graph #Graph coloring #Ising model #Mathematical analysis #Mathematics #Physics #Polynomial #Potts model #Quantum #Quantum mechanics #Random Matrices and Applications #Square lattice
- Superintegrable chiral Potts model: Thermodynamic properties, an ?inverse? model, and a simple associated Hamiltonian
1989/10/01 by R. J. Baxter · 18 citations
Mathematics · Physics and Astronomy · #Algebraic number #Chiral Potts curve #Eigenvalues and eigenvectors #Geometry #Hamiltonian (control theory) #Inverse #Ising model #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Partition function (quantum field theory) #Physics #Potts model #Quantum many-body systems #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #Theoretical and Computational Physics #Thermodynamic limit #Transfer matrix