More on zeros and approximation of the Ising partition function
From MaRDI portal
Publication:4992410
DOI10.1017/fms.2021.40zbMath1468.30019arXiv2005.11232OpenAlexW3028409222MaRDI QIDQ4992410
Nicholas Barvinok, Alexander I. Barvinok
Publication date: 8 June 2021
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.11232
Analysis of algorithms (68W40) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Approximation algorithms (68W25)
Related Items
Smoothed counting of 0–1 points in polyhedra, The Complexity of Approximating the Complex-Valued Ising Model on Bounded Degree Graphs
Cites Work
- Counting in two-spin models on \(d\)-regular graphs
- Combinatorics and complexity of partition functions
- Griffiths' singularities in diluted Ising models on the Cayley tree
- The Ising partition function: zeros and deterministic approximation
- Approximating partition functions of the two-state spin system
- Approximation algorithms for two-state anti-ferromagnetic spin systems on bounded degree graphs
- Polynomial-Time Approximation Algorithms for the Ising Model
- Location of zeros for the partition function of the Ising model on bounded degree graphs
- FPTAS for Hardcore and Ising Models on Hypergraphs
- Deterministic Polynomial-Time Approximation Algorithms for Partition Functions and Graph Polynomials
- Computing the Partition Function of a Polynomial on the Boolean Cube
- Zeros of ferromagnetic 2-spin systems
- Fisher zeros and correlation decay in the Ising model
- Mean-field approximation, convex hierarchies, and the optimality of correlation rounding: a unified perspective
- Approximating real-rooted and stable polynomials, with combinatorial applications
- Inapproximability of the Partition Function for the Antiferromagnetic Ising and Hard-Core Models
- Statistical Mechanics of Lattice Systems
- Correlation Decay up to Uniqueness in Spin Systems
- Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
- Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
- On the distribution and gap structure of Lee-Yang zeros for the Ising model: Periodic and aperiodic couplings
