Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.18793 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917030667485184 |
|---|---|
| author | Karageorgiou, Lazaros Prodromidis, Kyprianos-Iason |
| author_facet | Karageorgiou, Lazaros Prodromidis, Kyprianos-Iason |
| contents | In this paper, we consider the Ising model on the complete graph, also known as the Curie-Weiss model, and establish the limit profile of the Glauber dynamics in the high-temperature regime. Our strategy is a two-dimensional analog of the method developed by Olesker-Taylor and Schmid for the Bernoulli-Laplace urn: The two-coordinate chain associated to the model evolves near-deterministically until just before the cutoff window, while afterwards it approximates a two-dimensional diffusion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18793 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Limit Profile for the high-temperature Curie-Weiss model Karageorgiou, Lazaros Prodromidis, Kyprianos-Iason Probability In this paper, we consider the Ising model on the complete graph, also known as the Curie-Weiss model, and establish the limit profile of the Glauber dynamics in the high-temperature regime. Our strategy is a two-dimensional analog of the method developed by Olesker-Taylor and Schmid for the Bernoulli-Laplace urn: The two-coordinate chain associated to the model evolves near-deterministically until just before the cutoff window, while afterwards it approximates a two-dimensional diffusion. |
| title | Limit Profile for the high-temperature Curie-Weiss model |
| topic | Probability |
| url | https://arxiv.org/abs/2510.18793 |