Publication: Weighted dependency graphs and the Ising model
Weighted dependency graphs and the Ising model
Date
Date
Date
2019
Journal Article
Published version
Citations
Dousse, J., & Féray, V. (2019). Weighted dependency graphs and the Ising model. Annales de l’Institut Henri Poincare D, 6(4), 533–571. https://doi.org/10.4171/aihpd/78
Abstract
Abstract
Abstract
Weighted dependency graphs have been recently introduced by the second author, as a toolbox to prove central limit theorems. In this paper, we prove that spins in the d-dimensional Ising model display such a weighted dependency structure. We use this to obtain various central limit theorems for the number of occurrences of local and global patterns in a growing box.
Metrics
Downloads
64 since deposited on 2020-01-23
Acq. date: 2025-11-11
Views
82 since deposited on 2020-01-23
Acq. date: 2025-11-08
Additional indexing
Creators (Authors)
- Dousse, Jehanne
- Féray, Valentin
Journal/Series Title
Journal/Series Title
Journal/Series Title
Volume
Volume
Volume
6
Number
Number
Number
4
Page Range
Page Range
Page Range
533
Page end
Page end
Page end
571
Item Type
Item Type
Item Type
Journal Article
In collections
Dewey Decimal Classifikation
Dewey Decimal Classifikation
Dewey Decimal Classifikation
Language
Language
Language
English
Publication date
Publication date
Publication date
2019-09-04
Date available
Date available
Date available
2020-01-23
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
2308-5827
OA Status
OA Status
OA Status
Green
Publisher DOI
Metrics
Downloads
64 since deposited on 2020-01-23
Acq. date: 2025-11-11
Views
82 since deposited on 2020-01-23
Acq. date: 2025-11-08
Citations
Dousse, J., & Féray, V. (2019). Weighted dependency graphs and the Ising model. Annales de l’Institut Henri Poincare D, 6(4), 533–571. https://doi.org/10.4171/aihpd/78
Green Open Access
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