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Algorithmic Pirogov-Sinai theory (Q2174663)

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scientific article

Language	Label	Description	Also known as
English	Algorithmic Pirogov-Sinai theory	scientific article

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scholarly article

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Algorithmic Pirogov-Sinai theory (English)

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publication date

21 April 2020

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zbMATH Keywords

approximate sampling

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approximation algorithms

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FPTAS

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discrete spin systems

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Pirogov-Sinai theory

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cluster expansion

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describes a project that uses

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s00440-019-00928-y

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Representation and poly-time approximation for pressure of \(\mathbb Z^2\) lattice models in the non-uniqueness region

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Computing the partition function for cliques in a graph

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Computing the permanent of (some) complex matrices

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Combinatorics and complexity of partition functions

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Weighted counting of solutions to sparse systems of equations

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Computing the partition function for graph homomorphisms with multiplicities

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Constant Time Generation of Rooted Trees

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Inapproximability of the independent set polynomial in the complex plane

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Phase Coexistence for the Hard-Core Model on ℤ<sup>2</sup>

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Random-cluster dynamics in \(\mathbb {Z}^2\)

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Left and right convergence of graphs with bounded degree

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Tight bounds for mixing of the Swendsen-Wang algorithm at the Potts transition point

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A unified approach to phase diagrams in field theory and statistical mechanics

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\(\#\)BIS-hardness for 2-spin systems on bipartite bounded degree graphs in the tree non-uniqueness region

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The relative complexity of approximate counting problems

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Cluster expansion for abstract polymer models. New bounds from an old approach

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Inapproximability of the Partition Function for the Antiferromagnetic Ising and Hard-Core Models

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Ferromagnetic Potts Model: Refined #BIS-hardness and Related Results

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On Phase Transition in the Hard-Core Model on ${\mathbb Z}^d$

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Sequential cavity method for computing free energy and surface pressure

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Mixing Times of Critical Two‐Dimensional Potts Models

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Approximating the Partition Function of the Ferromagnetic Potts Model

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The Random-Cluster Model

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Random cluster dynamics for the Ising model is rapidly mixing

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Computing the Independence Polynomial: from the Tree Threshold down to the Roots

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Algorithms for #BIS-hard problems on expander graphs

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Polynomial-Time Approximation Algorithms for the Ising Model

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Random generation of combinatorial structures from a uniform distribution

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On the hard-hexagon model and the theory of modular functions

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Cluster expansion for abstract polymer models

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Interfaces in the Potts model. I: Pirogov-Sinai theory of the Fortuin- Kasteleyn representation

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Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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FPTAS for #BIS with Degree Bounds on One Side

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The Ising partition function: zeros and deterministic approximation

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Quasi-polynomial mixing of the 2D stochastic Ising model with ``plus'' boundary up to criticality

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The number of trees

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Computing the number of induced copies of a fixed graph in a bounded degree graph

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Deterministic Polynomial-Time Approximation Algorithms for Partition Functions and Graph Polynomials

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Odd cutsets and the hard-core model on \(\mathbb{Z}^{d}\)

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On a conjecture of Sokal concerning roots of the independence polynomial

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Slow mixing of glauber dynamics via topological obstructions

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The repulsive lattice gas, the independent-set polynomial, and the Lovász local lemma

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On a problem of Spencer

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Approximate counting, uniform generation and rapidly mixing Markov chains

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Counting in two-spin models on \(d\)-regular graphs

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Boundary-connectivity via graph theory

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Modular properties of the hard hexagon model.

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Rapid mixing of Swendsen–Wang dynamics in two dimensions

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Counting independent sets up to the tree threshold

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00440-019-00928-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:2174663

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