Restriction and mixing properties of interacting particle systems with unbounded range
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908906888888320 |
|---|---|
| author | Jahnel, Benedikt Köppl, Jonas |
| author_facet | Jahnel, Benedikt Köppl, Jonas |
| contents | We consider interacting particle systems with unbounded interaction range on general countably infinite graphs $S$ and prove explicit non-asymptotic error bounds for approximations of the infinite-volume dynamics by systems of finitely many interacting particles. Moreover, we also provide non-asymptotic quantitative bounds on the spatial decay of correlations at times $t>0$ and then apply these results to show that interacting particle systems on $\mathbb{Z}$ whose interaction strengths decays exponentially fast cannot spontaneously break the time-translation symmetry, neither in the strong, nor in the weak sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21817 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Restriction and mixing properties of interacting particle systems with unbounded range Jahnel, Benedikt Köppl, Jonas Probability Mathematical Physics Primary 82C22, Secondary 60K35 We consider interacting particle systems with unbounded interaction range on general countably infinite graphs $S$ and prove explicit non-asymptotic error bounds for approximations of the infinite-volume dynamics by systems of finitely many interacting particles. Moreover, we also provide non-asymptotic quantitative bounds on the spatial decay of correlations at times $t>0$ and then apply these results to show that interacting particle systems on $\mathbb{Z}$ whose interaction strengths decays exponentially fast cannot spontaneously break the time-translation symmetry, neither in the strong, nor in the weak sense. |
| title | Restriction and mixing properties of interacting particle systems with unbounded range |
| topic | Probability Mathematical Physics Primary 82C22, Secondary 60K35 |
| url | https://arxiv.org/abs/2603.21817 |