Random Polymers and Generalized Urn Processes
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2018
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| _version_ | 1866915374571716608 |
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| author | Franchini, Simone Balzan, Riccardo |
| author_facet | Franchini, Simone Balzan, Riccardo |
| contents | We describe a microcanonical approach for polymer models that combines atmospheric methods with urn theory. We show that Large Deviation Properties of urn models can provide quite deep mathematical insight by analyzing the Random Walk Range problem in $\mathbb{Z}^{d}$. We also provide a new mean field theory for the Range Problem that is exactly solvable by analogy with the Bagchi-Pal urn model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_03461 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Random Polymers and Generalized Urn Processes Franchini, Simone Balzan, Riccardo Statistical Mechanics 82B41, 60F05, 60K35 We describe a microcanonical approach for polymer models that combines atmospheric methods with urn theory. We show that Large Deviation Properties of urn models can provide quite deep mathematical insight by analyzing the Random Walk Range problem in $\mathbb{Z}^{d}$. We also provide a new mean field theory for the Range Problem that is exactly solvable by analogy with the Bagchi-Pal urn model. |
| title | Random Polymers and Generalized Urn Processes |
| topic | Statistical Mechanics 82B41, 60F05, 60K35 |
| url | https://arxiv.org/abs/1807.03461 |