Noise sensitivity of crossings for high temperature Ising model
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908480023035904 |
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| author | Tassion, Vincent Vanneuville, Hugo |
| author_facet | Tassion, Vincent Vanneuville, Hugo |
| contents | Consider the event that there is a $+$ crossing from left to right in a box for the Ising model on the triangular lattice. We show that this event is noise sensitive under Glauber dynamics $t \mapsto σ_t$ in the subcritical regime $β<β_c$. We rely on the non-spectral approach from our previous work [TV23]. An important aspect in this more general setup is the study of the pair $(σ_0,σ_t)$ and in particular the establishment of properties such as finite-energy and spatial mixing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11457 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noise sensitivity of crossings for high temperature Ising model Tassion, Vincent Vanneuville, Hugo Probability Mathematical Physics Consider the event that there is a $+$ crossing from left to right in a box for the Ising model on the triangular lattice. We show that this event is noise sensitive under Glauber dynamics $t \mapsto σ_t$ in the subcritical regime $β<β_c$. We rely on the non-spectral approach from our previous work [TV23]. An important aspect in this more general setup is the study of the pair $(σ_0,σ_t)$ and in particular the establishment of properties such as finite-energy and spatial mixing. |
| title | Noise sensitivity of crossings for high temperature Ising model |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2505.11457 |