The emergence of order in many element systems
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909208447811584 |
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| author | Einav, Amit |
| author_facet | Einav, Amit |
| contents | Our work is dedicated to the introduction and investigation of a new asymptotic correlation relation in the field of mean field models and limits. This new notion, order (as opposed to chaos), revolves around a tendency for self organisation in a given system and is expected to be observed in biological and societal models. Beyond the definition of this new notion, our work will show its applicability, and propagation, in the so-called Choose the Leader model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01187 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The emergence of order in many element systems Einav, Amit Mathematical Physics Statistical Mechanics Analysis of PDEs Probability 82C22, 60F99, 92-10, 35Q82, 35B40 Our work is dedicated to the introduction and investigation of a new asymptotic correlation relation in the field of mean field models and limits. This new notion, order (as opposed to chaos), revolves around a tendency for self organisation in a given system and is expected to be observed in biological and societal models. Beyond the definition of this new notion, our work will show its applicability, and propagation, in the so-called Choose the Leader model. |
| title | The emergence of order in many element systems |
| topic | Mathematical Physics Statistical Mechanics Analysis of PDEs Probability 82C22, 60F99, 92-10, 35Q82, 35B40 |
| url | https://arxiv.org/abs/2309.01187 |