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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2205.12928 |
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| _version_ | 1866918418146394112 |
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| author | Lees, Benjamin |
| author_facet | Lees, Benjamin |
| contents | We prove Griffiths inequalities for the $O(N)$-spin model with inhomogeneous coupling constants and external magnetic field for any $N\geq 2$. This is achieved by using a representation of $O(N)$-spins in terms of random paths that reduces to the random current representation of the Ising model for $N=1$ and an identity that is analogous to the switching lemma for random currents. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_12928 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Griffiths inequalities for the $O(N)$-spin model Lees, Benjamin Probability Mathematical Physics We prove Griffiths inequalities for the $O(N)$-spin model with inhomogeneous coupling constants and external magnetic field for any $N\geq 2$. This is achieved by using a representation of $O(N)$-spins in terms of random paths that reduces to the random current representation of the Ising model for $N=1$ and an identity that is analogous to the switching lemma for random currents. |
| title | Griffiths inequalities for the $O(N)$-spin model |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2205.12928 |