On the public citation graph
Mixing in time and space for lattice spin systems: A combinatorial view
0 signed · 121 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.
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known work and none has been retracted — and get a dated CiteStamped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.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4613-8734-3_1openalex-snapshot
Rapid Convergence to Equilibrium of Stochastic Ising Models in the Dobrushin Shlosman Regime
inferredcites →https://doi.org/10.1007/978-1-4899-6653-7_21openalex-snapshot
Completely Analytical Gibbs Fields
inferredcites →https://doi.org/10.1007/978-3-540-48115-7_2openalex-snapshot
Lectures on Glauber Dynamics for Discrete Spin Models
inferredcites →https://doi.org/10.1007/bf00398360openalex-snapshot
On log-Sobolev inequalities for infinite lattice systems
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/bf02097061openalex-snapshot
A uniqueness condition for Gibbs measures, with application to the 2-dimensional Ising antiferromagnet
inferredcites →https://doi.org/10.1007/bf02099735openalex-snapshot
For 2-D lattice spin systems weak mixing implies strong mixing
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/10.1007/bf02175556openalex-snapshot
On the two-dimensional stochastic Ising model in the phase coexistence region near the critical point
inferredcites →https://doi.org/10.1007/pl00008792openalex-snapshot
Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields
inferredcites →https://doi.org/10.1007/s00440-004-0369-4openalex-snapshot
Glauber dynamics on trees and hyperbolic graphs
inferredcites →https://doi.org/10.1016/s1062-7901(01)80008-2openalex-snapshot
The random geometry of equilibrium phases
inferredcites →https://doi.org/10.1017/s0305004100077288openalex-snapshot
Random growth in a tessellation
inferredcites →https://doi.org/10.1090/conm/041/814713openalex-snapshot
Possible rates of convergence in finite range, attractive spin systems
inferredcites →https://doi.org/10.1109/sfcs.1997.646111openalex-snapshot
Path coupling: A technique for proving rapid mixing in Markov chains
inferredcites →https://doi.org/10.1109/sfcs.2001.959933openalex-snapshot
Glauber dynamics on trees and hyperbolic graphs
inferredcites →https://doi.org/10.1214/aop/1008956698openalex-snapshot
Stochastic Monotonicity and Realizable Monotonicity
inferredcites →https://doi.org/10.1515/9783110850147openalex-snapshot
Gibbs Measures and Phase Transitions
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/cpa.21489openalex-snapshot
Cutoff for General Spin Systems with Arbitrary Boundary Conditions
inferred← citeshttps://doi.org/10.1002/cplx.20125openalex-snapshot
Complexity, parallel computation and statistical physics
inferred← citeshttps://doi.org/10.1002/rsa.20073openalex-snapshot
Combinatorial criteria for uniqueness of Gibbs measures
inferred← citeshttps://doi.org/10.1002/rsa.20276openalex-snapshot
Rapid mixing of Gibbs sampling on graphs that are sparse on average
inferred← citeshttps://doi.org/10.1002/rsa.20386openalex-snapshot
Sampling colourings of the triangular lattice
inferred← citeshttps://doi.org/10.1002/rsa.20560openalex-snapshot
Randomly coloring planar graphs with fewer colors than the maximum degree
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.21079openalex-snapshot
Perfect sampling from spatial mixing
inferred← citeshttps://doi.org/10.1002/rsa.21121openalex-snapshot
The Swendsen–Wang dynamics on trees
inferred← citeshttps://doi.org/10.1002/rsa.21191openalex-snapshot
Spatial mixing and the random‐cluster dynamics on lattices
inferred← citeshttps://doi.org/10.1007/978-3-540-74456-6_25openalex-snapshot
Dobrushin Conditions for Systematic Scan with Block Dynamics
inferred← citeshttps://doi.org/10.1007/s00220-013-1776-0openalex-snapshot
Can Extra Updates Delay Mixing?
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/s00440-012-0421-8openalex-snapshot
Improved mixing condition on the grid for counting and sampling independent sets
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/s00440-024-01289-xopenalex-snapshot
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics
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/s10955-006-9103-1openalex-snapshot
On the Dynamics of the Glass Transition on Bethe Lattices
inferred← citeshttps://doi.org/10.1007/s10955-006-9175-yopenalex-snapshot
Rigorous Inequalities Between Length and Time Scales in Glassy Systems
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/s10955-022-02969-5openalex-snapshot
Strong Spatial Mixing for Repulsive Point Processes
inferred← citeshttps://doi.org/10.1007/s11460-012-0193-zopenalex-snapshot
Algorithmic challenges in structure-based drug design and NMR structural biology
inferred← citeshttps://doi.org/10.1016/j.jctb.2020.10.001openalex-snapshot
Dismantlability, connectedness, and mixing in relational structures
inferred← citeshttps://doi.org/10.1017/apr.2025.10030openalex-snapshot
Uniqueness of locally stable Gibbs point processes via spatial birth–death dynamics
inferred← citeshttps://doi.org/10.1017/apr.2025.10036openalex-snapshot
On approximating the Potts model with contracting Glauber dynamics
inferred← citeshttps://doi.org/10.1063/1.4822481openalex-snapshot
Rapid mixing implies exponential decay of correlations
inferred← citeshttps://doi.org/10.1080/10236190902976889openalex-snapshot
Robustness of Markov processes on large networks
inferred← citeshttps://doi.org/10.1088/1742-5468/2005/10/p10012openalex-snapshot
Rapid mixing for lattice colourings with fewer colours
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.001.0001openalex-snapshot
The Nature of Computation
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.002.0003openalex-snapshot
Copyright Page
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.002.0006openalex-snapshot
Figure Credits
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0003openalex-snapshot
Insights and Algorithms
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0004openalex-snapshot
Needles in a Haystack: the Class NP
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0005openalex-snapshot
Who is the Hardest One of All? NP-Completeness
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0006openalex-snapshot
The Deep Question: P vs. NP
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0007openalex-snapshot
The Grand Unified Theory of Computation
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0008openalex-snapshot
Memory, Paths, and Games
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0009openalex-snapshot
Optimization and Approximation
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0010openalex-snapshot
Randomized Algorithms
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0011openalex-snapshot
Interaction and Pseudorandomness
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0012openalex-snapshot
Random Walks and Rapid Mixing
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0013openalex-snapshot
Counting, Sampling, and Statistical Physics
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0014openalex-snapshot
When Formulas Freeze: Phase Transitions in Computation
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0015openalex-snapshot
Quantum Computation
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.005.0001openalex-snapshot
Mathematical Tools
inferred← citeshttps://doi.org/10.1103/physreva.104.032602openalex-snapshot
Quantum sampling algorithms, phase transitions, and computational complexity
inferred← citeshttps://doi.org/10.1103/physrevlett.127.100504openalex-snapshot
Quantum Sampling Algorithms for Near-Term Devices
inferred← citeshttps://doi.org/10.1109/allerton.2014.7028584openalex-snapshot
Learning Graphical Models From the Glauber Dynamics
inferred← citeshttps://doi.org/10.1109/focs.2004.63openalex-snapshot
Strong Spatial Mixing for Lattice Graphs with Fewer Colours
inferred← citeshttps://doi.org/10.1109/focs.2007.4389492openalex-snapshot
Reconstruction for Models on Random Graphs
inferred← citeshttps://doi.org/10.1109/focs.2007.58openalex-snapshot
Reconstruction for Models on Random Graphs
inferred← citeshttps://doi.org/10.1109/focs.2011.45openalex-snapshot
Improved Mixing Condition on the Grid for Counting and Sampling Independent Sets
inferred← citeshttps://doi.org/10.1109/focs52979.2021.00022openalex-snapshot
Rapid mixing of Glauber dynamics via spectral independence for all degrees
inferred← citeshttps://doi.org/10.1109/focs57990.2023.00122openalex-snapshot
Sampling from the Potts model at low temperatures via Swendsen–Wang dynamics
inferred← citeshttps://doi.org/10.1109/sfcs.2003.1238234openalex-snapshot
A non-Markovian coupling for randomly sampling colorings
inferred← citeshttps://doi.org/10.1109/sfcs.2005.6openalex-snapshot
A general lower bound for mixing of single-site dynamics on graphs
inferred← citeshttps://doi.org/10.1112/s1461157000001169openalex-snapshot
Improved Mixing Bounds for the Anti-Ferromagnetic Potts Model on Z 2
inferred← citeshttps://doi.org/10.1112/s1461157000001492openalex-snapshot
Strong Spatial Mixing and Rapid Mixing with Five Colours for the Kagome Lattice
inferred← citeshttps://doi.org/10.1137/120885498openalex-snapshot
Phase Transition for Glauber Dynamics for Independent Sets on Regular Trees
inferred← citeshttps://doi.org/10.1137/16m1066178openalex-snapshot
Strong Spatial Mixing in Homomorphism Spaces
inferred← citeshttps://doi.org/10.1137/21m1437433openalex-snapshot
Perfect Sampling in Infinite Spin Systems Via Strong Spatial Mixing
inferred← citeshttps://doi.org/10.1137/22m1474734openalex-snapshot
Rapid Mixing of Glauber Dynamics via Spectral Independence for All Degrees
inferred← citeshttps://doi.org/10.1137/23m1545203openalex-snapshot
Testing Thresholds for High-Dimensional Sparse Random Geometric Graphs
inferred← citeshttps://doi.org/10.1137/s0097539704445470openalex-snapshot
Strong Spatial Mixing with Fewer Colors for Lattice Graphs
inferred← citeshttps://doi.org/10.1145/1132516.1132538openalex-snapshot
Counting independent sets up to the tree threshold
inferred← citeshttps://doi.org/10.1145/1250790.1250809openalex-snapshot
Simple deterministic approximation algorithms for counting matchings
inferred← citeshttps://doi.org/10.1145/1250790.1250857openalex-snapshot
Randomly coloring planar graphs with fewer colors than the maximum degree
inferred← citeshttps://doi.org/10.1145/2746539.2746631openalex-snapshot
Efficiently Learning Ising Models on Arbitrary Graphs
inferred← citeshttps://doi.org/10.1145/3357713.3384322openalex-snapshot
Classical algorithms, correlation decay, and complex zeros of partition functions of Quantum many-body systems
inferred← citeshttps://doi.org/10.1145/3519935.3519989openalex-snapshot
Testing thresholds for high-dimensional sparse random geometric graphs
inferred← citeshttps://doi.org/10.1214/07-aap508openalex-snapshot
Uniqueness thresholds on trees versus graphs
inferred← citeshttps://doi.org/10.1214/09-bjps027openalex-snapshot
Gibbs measures and phase transitions on sparse random graphs
inferred← citeshttps://doi.org/10.1214/105051606000000330openalex-snapshot
Coupling with the stationary distribution and improved sampling for colorings and independent sets
inferred← citeshttps://doi.org/10.1214/105051607000000104openalex-snapshot
A general lower bound for mixing of single-site dynamics on graphs
inferred← citeshttps://doi.org/10.1214/11-aop737openalex-snapshot
Exact thresholds for Ising–Gibbs samplers on general graphs
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/10.1214/21-aap1728openalex-snapshot
Correlation decay for hard spheres via Markov chains
inferred← citeshttps://doi.org/10.1214/24-aop1743openalex-snapshot
Fast relaxation of the random field Ising dynamics
inferred← citeshttps://doi.org/10.1214/ecp.v9-1116openalex-snapshot
Ergodicity of PCA: Equivalence between Spatial and Temporal Mixing Conditions
inferred← citeshttps://doi.org/10.1515/9783110293586.223openalex-snapshot
Chapter 24. Exact Sampling for the Ising Model at All Temperatures
inferred← citeshttps://doi.org/10.17169/refubium-19539openalex-snapshot
Rapid mixing implies exponential decay of correlations
inferred← citeshttps://doi.org/10.3389/fphy.2024.1507250openalex-snapshot
Damage spreading and coupling in spin glasses and hard spheres
inferred← citeshttps://doi.org/10.48550/arxiv.0706.0489openalex-snapshot
Sampling Colourings of the Triangular Lattice
inferred← citeshttps://doi.org/10.48550/arxiv.0706.1530openalex-snapshot
Randomly coloring planar graphs with fewer colors than the maximum degree
inferred← citeshttps://doi.org/10.48550/arxiv.1105.0914openalex-snapshot
Improved Mixing Condition on the Grid for Counting and Sampling Independent Sets
inferred← citeshttps://doi.org/10.48550/arxiv.1112.0603openalex-snapshot
Can extra updates delay mixing?
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.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.1909.07059openalex-snapshot
Improved Strong Spatial Mixing for Colorings on Trees
inferred← citeshttps://doi.org/10.48550/arxiv.2001.11566openalex-snapshot
Three lectures on random proper colorings of $\mathbb{Z}^d$
inferred← citeshttps://doi.org/10.48550/arxiv.math-ph/0507067openalex-snapshot
Improved mixing bounds for the anti-ferromagnetic Potts model on Z^2
inferred← citeshttps://doi.org/10.70675/b9a69b41z56efz40ccz814dza2639f67b149openalex-snapshot
Reconfiguration and combinatorial games
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.