The DOI matches its Crossref record; 9 of the 10 references it cites were found in a registry or an index.
Correlation functions and computer simulations
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In the citing paper
“we propose two special methods not viable for general SDEs: (i) Predictor-Corrector (PC) samplers that combine numerical SDE solvers with score-based MCMC approaches, such as Langevin MCMC (Parisi, 1981) and HMC (Neal et al., 2011); and (ii) deterministic samplers based on the probability flow ordinary differential equation (ODE).”
From Score-Based Generative Modeling through Stochastic Differential Equations (2020) · cites this paper as Parisi, 1981
In the citing paper
“The theory of Langevin Monte Carlo [175] guarantees that as s t → 0 and N → ∞, x (N ) 0 becomes a valid sample from the data distribution q(x 0 ).”
From Diffusion Models: A Comprehensive Survey of Methods and Applications (2024) · cites this paper as [175]
Citations
Cites
Theory of dynamic critical phenomena
Hohenberg, P. C., & Halperin, B. I. (1977) · Reviews of Modern Physics · doi:10.1103/revmodphys.49.435 · Cited by 6,935
An introduction to lattice gauge theory and spin systems
Kogut, J. B. (1979) · Reviews of Modern Physics · doi:10.1103/revmodphys.51.659 · Cited by 2,029
Creutz, M. J. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.313 · Cited by 412
Experiments with a Gauge-Invariant Ising System
Creutz, M. J., Jacobs, L. J., & Rebbi, C. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.1390 · Cited by 344
?Thought-experiments? by molecular dynamics
Ciccotti, G., Jacucci, G., & McDonald, I. R. (1979) · Journal of Statistical Physics · doi:10.1007/bf01011477 · Cited by 281
Monte Carlo simulation of the massive Schwinger model
Marinari, E., Parisi, G., & Rebbi, C. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90048-1 · Cited by 188
Self-citationMethod for Performing Monte Carlo Calculations for Systems with Fermions
Scalapino, D. J., & Sugar, R. L. (1981) · Physical Review Letters · doi:10.1103/physrevlett.46.519 · Cited by 181
Nelson's stochastic mechanics on Riemannian manifolds
Dohrn, D., & Guerra, F. (1978) · Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento · doi:10.1007/bf02804667 · Cited by 69
What can we learn from boundary value effects in gauge theories on finite lattices?
Mütter, K.-H., & Schilling, K. (1982) · Nuclear Physics B · doi:10.1016/0550-3213(82)90093-1 · Cited by 27
Research works printed but not linked: 3
- Creutz, 1979, Phys. Rev., D20, 1915
- Parisi, 1980, Sci. Sin.
- Polyakov, 1969, JETP (Sov. Phys.), 28, 533
Cited by
Sorted by citations
Score-Based Generative Modeling through Stochastic Differential Equations
Song, Y., Sohl-Dickstein, J., Kingma, D. P., Kumar, A., Ermon, S., & Poole, B. (2020) · arXiv · doi:10.48550/arxiv.2011.13456 · Cited by 1,953
Diffusion Models: A Comprehensive Survey of Methods and Applications
Yang, L., Zhang, Z., Song, Y., Hong, S., Xu, R., Zhao, Y., Zhang, W., Cui, B., & Yang, M.-H. (2024) · ACM Computing Surveys · doi:10.1145/3626235 · Cited by 1,704
Exponential Convergence of Langevin Distributions and Their Discrete Approximations
Roberts, G. O., & Tweedie, R. L. (1996) · Bernoulli · doi:10.2307/3318418 · Cited by 1,044
Diffusion models in medical imaging: A comprehensive survey
Kazerouni, A., Aghdam, E. K., Heidari, M., Azad, R., Fayyaz, M., Hacihaliloglu, I., & Merhof, D. (2023) · Medical Image Analysis · doi:10.1016/j.media.2023.102846 · Cited by 1,006
Representations of Knowledge in Complex Systems
Grenander, U., & Miller, M. I. (1994) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.2517-6161.1994.tb02000.x · Cited by 619
Metadata
- Authors
- Parisi, G.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1981-05
- Volume
- 180
- Issue
- 3
- Pages
- 378-384
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W1971159979
- Cited by
- 243
- References
- 10
- Citations by year
- 2026: 12 · 2025: 35 · 2024: 25 · 2023: 20 · 2022: 17 · 2021: 13 · 2020: 9 · 2019: 3 · 2018: 10 · 2017: 1 · 2016: 2 · 2015: 1 · 2014: 1
- FWCI
- 6.13
- Type
- journal article
- Language
- en
- Open access
- green
- doi.org
- Locations
- Nuclear Physics B (publishedVersion)
- Istituto Nazionale di Fisica Nucleare. Centro Nazionale Analisi Fotogrammi
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- connected correlation functions, Langevin equation, convergence to equilibrium, statistical systems, computer simulation, equilibrium properties
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