On the public citation graph

For 2-D lattice spin systems weak mixing implies strong mixing

0 signed · 139 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-5500-0_9openalex-snapshot
The General Case
inferredcites →https://doi.org/10.1007/978-1-4613-8542-4openalex-snapshot
Interacting Particle Systems
inferredcites →https://doi.org/10.1007/978-1-4899-6653-7_20openalex-snapshot
Constructive Criterion for the Uniqueness of Gibbs Field
inferredcites →https://doi.org/10.1007/978-1-4899-6653-7_21openalex-snapshot
Completely Analytical Gibbs Fields
inferredcites →https://doi.org/10.1007/bf01007515openalex-snapshot
The phase transition in a general class of Ising-type models is sharp
inferredcites →https://doi.org/10.1007/bf01009344openalex-snapshot
Exponential decay of connectivities in the two-dimensional ising model
inferredcites →https://doi.org/10.1007/bf01011153openalex-snapshot
Completely analytical interactions: Constructive description
inferredcites →https://doi.org/10.1007/bf01015569openalex-snapshot
Cluster expansion ford-dimensional lattice systems and finite-volume factorization properties
inferredcites →https://doi.org/10.1007/bf01018227openalex-snapshot
Uniqueness and half-space nonuniqueness of gibbs states in Czech models
inferredcites →https://doi.org/10.1007/bf01019160openalex-snapshot
On a cluster expansion for lattice spin systems: A finite-size condition for the convergence
inferredcites →https://doi.org/10.1007/bf01048184openalex-snapshot
Some remarks on pathologies of renormalization-group transformations for the Ising model
inferredcites →https://doi.org/10.1007/bf01199310openalex-snapshot
Coexistence of infinite (*)-clusters II. Ising percolation in two dimensions
inferredcites →https://doi.org/10.1007/bf01645980openalex-snapshot
Remarks on the FKG inequalities
inferredcites →https://doi.org/10.1007/bf02096629openalex-snapshot
The logarithmic sobolev inequality for discrete spin systems on a lattice
inferredcites →https://doi.org/10.1007/bf02098489openalex-snapshot
Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
inferredcites →https://doi.org/10.1007/bf02099411openalex-snapshot
Slow droplet-driven relaxation of stochastic Ising models in the vicinity of the phase coexistence region
inferredcites →https://doi.org/10.1007/bf02101929openalex-snapshot
Approach to equilibrium of Glauber dynamics in the one phase region
inferredcites →https://doi.org/10.1007/bf02101930openalex-snapshot
Approach to equilibrium of Glauber dynamics in the one phase region
inferredcites →https://doi.org/10.1137/1115049openalex-snapshot
Prescribing a System of Random Variables by Conditional Distributions
inferredcites →https://doi.org/10.1201/9781315373140-16openalex-snapshot
Interacting Particle Systems
inferredcites →https://doi.org/10.2307/2373688openalex-snapshot
Logarithmic Sobolev Inequalities

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.5281/zenodo.23589070zenodo-depositor-declared
inferred← citeshttps://doi.org/10.1002/cpa.21489openalex-snapshot
Cutoff for General Spin Systems with Arbitrary Boundary Conditions
inferred← citeshttps://doi.org/10.1002/cpa.21718openalex-snapshot
Mixing Times of Critical Two‐Dimensional Potts Models
inferred← citeshttps://doi.org/10.1002/rsa.20004openalex-snapshot
Mixing in time and space for lattice spin systems: A combinatorial view
inferred← citeshttps://doi.org/10.1002/rsa.20431openalex-snapshot
Comparison of Swendsen‐Wang and heat‐bath dynamics
inferred← citeshttps://doi.org/10.1002/rsa.20844openalex-snapshot
Spatial Mixing and Non-local Markov chains
inferred← citeshttps://doi.org/10.1002/rsa.20858openalex-snapshot
Swendsen‐Wang dynamics for general graphs in the tree uniqueness region
inferred← citeshttps://doi.org/10.1002/rsa.21121openalex-snapshot
The Swendsen–Wang dynamics on trees
inferred← citeshttps://doi.org/10.1002/rsa.21131openalex-snapshot
Efficient sampling and counting algorithms for the Potts model on ℤd at all temperatures
inferred← citeshttps://doi.org/10.1002/rsa.21191openalex-snapshot
Spatial mixing and the random‐cluster dynamics on lattices
inferred← citeshttps://doi.org/10.1006/jcss.1998.1576openalex-snapshot
What Do We Know about the Metropolis Algorithm ?
inferred← citeshttps://doi.org/10.1007/11830924_27openalex-snapshot
The Effect of Boundary Conditions on Mixing Rates of Markov Chains
inferred← citeshttps://doi.org/10.1007/978-1-4612-0063-5_1openalex-snapshot
Randomly Coalescing Random Walk in Dimension ≥3
inferred← citeshttps://doi.org/10.1007/978-1-4612-0063-5_11openalex-snapshot
Spectral Gap and Logarithmic Sobolev Constant of Kawasaki Dynamics Under a Mixing Condition Revisited
inferred← citeshttps://doi.org/10.1007/978-3-031-93115-4_4openalex-snapshot
One-Dimensional Models
inferred← citeshttps://doi.org/10.1007/978-3-0348-8898-1_7openalex-snapshot
Metastability and Typical Exit Paths in Stochastic Dynamics
inferred← citeshttps://doi.org/10.1007/978-3-540-92796-9_7openalex-snapshot
Facilitated Spin Models: Recent and New Results
inferred← citeshttps://doi.org/10.1007/978-3-642-54251-0_6openalex-snapshot
Large Deviations in Monte Carlo Methods
inferred← citeshttps://doi.org/10.1007/978-3-662-09444-0_4openalex-snapshot
Relaxation Times of Markov Chains in Statistical Mechanics and Combinatorial Structures
inferred← citeshttps://doi.org/10.1007/978-94-015-8326-8_17openalex-snapshot
Theorems and Conjectures on the Droplet-Driven Relaxation of Stochastic Ising Models
inferred← citeshttps://doi.org/10.1007/bf01192197openalex-snapshot
Hypercontractivité pour des systèmes de spins de portée infinie
inferred← citeshttps://doi.org/10.1007/bf02101009openalex-snapshot
Logarithmic Sobolev inequality for lattice gases with mixing conditions
inferred← citeshttps://doi.org/10.1007/bf02101294openalex-snapshot
Decay to equilibrium in random spin systems on a lattice
inferred← citeshttps://doi.org/10.1007/bf02101929openalex-snapshot
Approach to equilibrium of Glauber dynamics in the one phase region
inferred← citeshttps://doi.org/10.1007/bf02102435openalex-snapshot
On the layering transition of an SOS surface interacting with a wall. II. The Glauber dynamics
inferred← citeshttps://doi.org/10.1007/bf02108338openalex-snapshot
Complete analyticity for 2D Ising completed
inferred← citeshttps://doi.org/10.1007/bf02175556openalex-snapshot
On the two-dimensional stochastic Ising model in the phase coexistence region near the critical point
inferred← citeshttps://doi.org/10.1007/bf02179301openalex-snapshot
On the ergodic properties of Glauber dynamics
inferred← citeshttps://doi.org/10.1007/bf02179382openalex-snapshot
Instability of renormalization-group pathologies under decimation
inferred← citeshttps://doi.org/10.1007/bf02179794openalex-snapshot
On the layering transition of an SOS surface interacting with a wall. I. Equilibrium results
inferred← citeshttps://doi.org/10.1007/bf02181489openalex-snapshot
Relaxed criteria of the Dobrushin-Shlosman mixing condition
inferred← citeshttps://doi.org/10.1007/bf02183617openalex-snapshot
Renormalization group at criticality and complete analyticity of constrained models: A numerical study
inferred← citeshttps://doi.org/10.1007/bf02183686openalex-snapshot
Some numerical results on the block spin transformation for the 2D Ising model at the critical point
inferred← citeshttps://doi.org/10.1007/bf02183748openalex-snapshot
Ill-defined block-spin transformations at arbitrarily high temperatures
inferred← citeshttps://doi.org/10.1007/bf02187060openalex-snapshot
On the two-dimensional dynamical Ising model in the phase coexistence region
inferred← citeshttps://doi.org/10.1007/pl00008788openalex-snapshot
The asymmetric random cluster model and comparison of Ising and Potts models
inferred← citeshttps://doi.org/10.1007/s00023-018-0702-6openalex-snapshot
Stability of the Uniqueness Regime for Ferromagnetic Glauber Dynamics Under Non-reversible Perturbations
inferred← citeshttps://doi.org/10.1007/s00220-004-1147-yopenalex-snapshot
Glauber Dynamics on Trees: Boundary Conditions and Mixing Time
inferred← citeshttps://doi.org/10.1007/s00220-005-1360-3openalex-snapshot
Graded Cluster Expansion for Lattice Systems
inferred← citeshttps://doi.org/10.1007/s00220-005-1399-1openalex-snapshot
Renormalization Group in the Uniqueness Region: Weak Gibbsianity and Convergence
inferred← citeshttps://doi.org/10.1007/s00220-012-1460-9openalex-snapshot
Critical Ising on the Square Lattice Mixes in Polynomial Time
inferred← citeshttps://doi.org/10.1007/s00220-015-2355-3openalex-snapshot
Stability of Local Quantum Dissipative Systems
inferred← citeshttps://doi.org/10.1007/s00220-016-2641-8openalex-snapshot
Quantum Gibbs Samplers: The Commuting Case
inferred← citeshttps://doi.org/10.1007/s00220-018-3150-8openalex-snapshot
Finite Correlation Length Implies Efficient Preparation of Quantum Thermal States
inferred← citeshttps://doi.org/10.1007/s00220-019-03606-1openalex-snapshot
Weak Mixing and Analyticity of the Pressure in the Ising Model
inferred← citeshttps://doi.org/10.1007/s00220-019-03633-yopenalex-snapshot
Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature
inferred← citeshttps://doi.org/10.1007/s00220-021-04093-zopenalex-snapshot
Random-Cluster Dynamics on Random Regular Graphs in Tree Uniqueness
inferred← citeshttps://doi.org/10.1007/s00220-021-04237-1openalex-snapshot
Block Factorization of the Relative Entropy via Spatial Mixing
inferred← citeshttps://doi.org/10.1007/s002200050202openalex-snapshot
Phase Diagram of Ising Systems with Additional Long Range Forces
inferred← citeshttps://doi.org/10.1007/s002200050203openalex-snapshot
Exponential Relaxation of Glauber Dynamics with Some Special Boundary Conditions
inferred← citeshttps://doi.org/10.1007/s002200050205openalex-snapshot
Relaxation to Equilibrium for Two Dimensional Disordered Ising Systems in the Griffiths Phase
inferred← citeshttps://doi.org/10.1007/s002200050208openalex-snapshot
Complete Analyticity of the 2D Potts Model above the Critical Temperature
inferred← citeshttps://doi.org/10.1007/s002200050210openalex-snapshot
Non-Perturbative Criteria for Gibbsian Uniqueness
inferred← citeshttps://doi.org/10.1007/s00222-012-0404-5openalex-snapshot
Cutoff for the Ising model on the lattice
inferred← citeshttps://doi.org/10.1007/s00440-016-0725-1openalex-snapshot
Random-cluster dynamics in $${{\mathrm{\mathbb {Z}}}}^2$$
inferred← citeshttps://doi.org/10.1007/s00440-022-01132-1openalex-snapshot
A new correlation inequality for Ising models with external fields
inferred← citeshttps://doi.org/10.1007/s00440-024-01328-7openalex-snapshot
Metastability cascades and prewetting in the SOS model
inferred← citeshttps://doi.org/10.1007/s00440-025-01395-4openalex-snapshot
Sparse reconstruction in spin systems II: Ising and other factor of IID measures
inferred← citeshttps://doi.org/10.1007/s004400050155openalex-snapshot
On weak mixing in lattice models
inferred← citeshttps://doi.org/10.1007/s00453-025-01353-5openalex-snapshot
Rapid Mixing of Global Markov Chains via Spectral Independence: The Unbounded Degree Case
inferred← citeshttps://doi.org/10.1007/s10955-006-9214-8openalex-snapshot
Perturbative Analysis of Disordered Ising Models Close to Criticality
inferred← citeshttps://doi.org/10.1007/s10955-012-0561-3openalex-snapshot
Scaling Relations for Two-Dimensional Ising Percolation
inferred← citeshttps://doi.org/10.1007/s10955-017-1880-1openalex-snapshot
Mixing Length Scales of Low Temperature Spin Plaquettes Models
inferred← citeshttps://doi.org/10.1007/s10955-019-02352-xopenalex-snapshot
Mixing Time of Markov Chains for the 1–2 Model
inferred← citeshttps://doi.org/10.1007/s10955-020-02658-1openalex-snapshot
Gaussian Concentration and Uniqueness of Equilibrium States in Lattice Systems
inferred← citeshttps://doi.org/10.1007/s11232-007-0132-yopenalex-snapshot
Ising model in half-space: A series of phase transitions in low magnetic fields
inferred← citeshttps://doi.org/10.1016/0304-4149(94)00015-lopenalex-snapshot
Quite weak Bernoulli with exponential rate and percolation for random fields
inferred← citeshttps://doi.org/10.1016/j.jctb.2020.10.001openalex-snapshot
Dismantlability, connectedness, and mixing in relational structures
inferred← citeshttps://doi.org/10.1016/s0246-0203(02)01106-8openalex-snapshot
Glauber dynamics of spin glasses at low and high temperature
inferred← citeshttps://doi.org/10.1017/etds.2016.107openalex-snapshot
The topological strong spatial mixing property and new conditions for pressure approximation
inferred← citeshttps://doi.org/10.1017/jpr.2024.102openalex-snapshot
Perturbation analysis of Markov chain Monte Carlo for graphical models
inferred← citeshttps://doi.org/10.1023/a:1004581512343openalex-snapshot
The Spectral Gap for the Kawasaki Dynamics at Low Temperature
inferred← citeshttps://doi.org/10.1023/a:1004620929047openalex-snapshot
Renormalization-Group Transformations Under Strong Mixing Conditions: Gibbsianness and Convergence of Renormalized Interactions
inferred← citeshttps://doi.org/10.1023/a:1010301525937openalex-snapshot
The Spectral Gap of the 2-D Stochastic Ising Model with Nearly Single-Spin Boundary Conditions
inferred← citeshttps://doi.org/10.1023/b:joss.0000019813.58778.bfopenalex-snapshot
A Combinatorial Proof of Tree Decay of Semi-Invariants
inferred← citeshttps://doi.org/10.1063/1.4932612openalex-snapshot
Area law for fixed points of rapidly mixing dissipative quantum systems
inferred← citeshttps://doi.org/10.1063/1.533192openalex-snapshot
On the spectral gap of Kawasaki dynamics under a mixing condition revisited
inferred← citeshttps://doi.org/10.1088/1742-5468/aaa793openalex-snapshot
Divide and conquer method for proving gaps of frustration free Hamiltonians
inferred← citeshttps://doi.org/10.1090/jams/841openalex-snapshot
Information percolation and cutoff for the stochastic Ising model
inferred← citeshttps://doi.org/10.1093/biomet/84.1.1openalex-snapshot
Computational complexity of Markov chain Monte Carlo methods for finite Markov random fields
inferred← citeshttps://doi.org/10.1103/physrevlett.116.080503openalex-snapshot
Rapid Adiabatic Preparation of Injective Projected Entangled Pair States and Gibbs States
inferred← citeshttps://doi.org/10.1103/physrevlett.96.220601openalex-snapshot
Criticality, the Area Law, and the Computational Power of Projected Entangled Pair States
inferred← citeshttps://doi.org/10.1103/physrevx.15.021017openalex-snapshot
Accuracy Guarantees and Quantum Advantage in Analog Open Quantum Simulation with and without Noise
inferred← citeshttps://doi.org/10.1109/sfcs.2003.1238235openalex-snapshot
The Ising model on trees: boundary conditions and mixing time
inferred← citeshttps://doi.org/10.1137/16m1066178openalex-snapshot
Strong Spatial Mixing in Homomorphism Spaces
inferred← citeshttps://doi.org/10.1137/18m1219722openalex-snapshot
Sampling in Uniqueness from the Potts and Random-Cluster Models on Random Regular Graphs
inferred← citeshttps://doi.org/10.1137/21m1437433openalex-snapshot
Perfect Sampling in Infinite Spin Systems Via Strong Spatial Mixing
inferred← citeshttps://doi.org/10.1140/epjh/e2012-10050-xopenalex-snapshot
From the seminar on Mathematical Statistical Physics in Moscow State University, 1962–1994. Constructive criteria
inferred← citeshttps://doi.org/10.1142/9789812832962_0008openalex-snapshot
ANALYSIS IN OPERATOR SPACES
inferred← citeshttps://doi.org/10.1142/s0129055x03001746openalex-snapshot
PHASE TRANSITION FROM THE VIEWPOINT OF RELAXATION PHENOMENA
inferred← citeshttps://doi.org/10.1145/225058.225095openalex-snapshot
What do we know about the Metropolis algorithm?
inferred← citeshttps://doi.org/10.1145/3357713.3384271openalex-snapshot
Efficient sampling and counting algorithms for the Potts model on ℤᵈ at all temperatures
inferred← citeshttps://doi.org/10.1145/3406325.3451095openalex-snapshot
Entropy decay in the Swendsen–Wang dynamics on ℤ d
inferred← citeshttps://doi.org/10.1214/16-aop1146openalex-snapshot
Universality of cutoff for the Ising model
inferred← citeshttps://doi.org/10.1214/19-aap1505openalex-snapshot
Random-cluster dynamics in $\mathbb{Z}^{2}$: Rapid mixing with general boundary conditions
inferred← citeshttps://doi.org/10.1214/19-aop1405openalex-snapshot
Finitary codings for spatial mixing Markov random fields
inferred← citeshttps://doi.org/10.1214/21-aap1702openalex-snapshot
Entropy decay in the Swendsen–Wang dynamics on Zd
inferred← citeshttps://doi.org/10.1214/23-ejp1013openalex-snapshot
Coupling from the past for exponentially ergodic one-dimensional probabilistic cellular automata
inferred← citeshttps://doi.org/10.1214/aop/1019160122openalex-snapshot
On the speed of convergence for two-dimensional first passage Ising percolation
inferred← citeshttps://doi.org/10.1214/aop/1024404515openalex-snapshot
A constructive mixing condition for 2-D Gibbs measures with random interactions
inferred← citeshttps://doi.org/10.1214/aop/1078415842openalex-snapshot
Mixing properties and exponential decay for lattice systems in finite volumes
inferred← citeshttps://doi.org/10.3929/ethz-b-000384647openalex-snapshot
Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature
inferred← citeshttps://doi.org/10.4213/tmf6136openalex-snapshot
Модель Изинга в полупространстве. Серия фазовых переходов при малых магнитных полях
inferred← citeshttps://doi.org/10.4230/lipics.approx-random.2017.34openalex-snapshot
Mixing times of critical 2D Potts models
inferred← citeshttps://doi.org/10.4230/lipics.approx-random.2018.33openalex-snapshot
Sampling in Uniqueness from the Potts and Random-Cluster Models on Random Regular Graphs
inferred← citeshttps://doi.org/10.4310/ajm.1997.v1.n4.a1openalex-snapshot
Diffusive limit of lattice gas with mixing conditions
inferred← citeshttps://doi.org/10.48550/arxiv.1001.1613openalex-snapshot
Critical Ising on the square lattice mixes in polynomial time
inferred← citeshttps://doi.org/10.48550/arxiv.1004.1602openalex-snapshot
Tensorizing maximal correlations
inferred← citeshttps://doi.org/10.48550/arxiv.1110.6032openalex-snapshot
Gibbsian properties and convergence of the iterates for the Block Averaging Transformation
inferred← citeshttps://doi.org/10.48550/arxiv.1202.4246openalex-snapshot
Cutoff for general spin systems with arbitrary boundary conditions
inferred← citeshttps://doi.org/10.48550/arxiv.1202.6321openalex-snapshot
Rapid mixing of Swendsen-Wang and single-bond dynamics in two dimensions
inferred← citeshttps://doi.org/10.48550/arxiv.1510.01453openalex-snapshot
Strong spatial mixing in homomorphism spaces
inferred← citeshttps://doi.org/10.48550/arxiv.1510.06762openalex-snapshot
Random-Cluster Dynamics in $\mathbb{Z}^2$
inferred← citeshttps://doi.org/10.48550/arxiv.1612.01576openalex-snapshot
Spatial Mixing and Systematic Scan Markov chains
inferred← citeshttps://doi.org/10.48550/arxiv.1909.09298openalex-snapshot
Efficient sampling and counting algorithms for the Potts model on $\mathbb Z^d$ at all temperatures
inferred← citeshttps://doi.org/10.48550/arxiv.2003.05879openalex-snapshot
Weak mixing and analyticity in Random Cluster and low temperature Ising models
inferred← citeshttps://doi.org/10.48550/arxiv.math/0210015openalex-snapshot
Separated-occurrence inequalities for dependent percolation and Ising models
inferred← citeshttps://doi.org/10.70675/ac2422e1za412z4271zafa9z1c42a1752a60openalex-snapshot
On concentration inequalities for equilibrium states in lattice and symbolic dynamical systems
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.