Existence of generalized Busemann functions and Gibbs measures for random walks in random potentials
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866915103382700032 |
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| author | Groathouse, Sean Janjigian, Christopher Rassoul-Agha, Firas |
| author_facet | Groathouse, Sean Janjigian, Christopher Rassoul-Agha, Firas |
| contents | We establish the existence of generalized Busemann functions and Gibbs-Dobrushin-Landford-Ruelle measures for a general class of lattice random walks in random potential with finitely many admissible steps. This class encompasses directed polymers in random environments, first- and last-passage percolation, and elliptic random walks in both static and dynamic random environments in all dimensions and with minimal assumptions on the random potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_17714 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Existence of generalized Busemann functions and Gibbs measures for random walks in random potentials Groathouse, Sean Janjigian, Christopher Rassoul-Agha, Firas Probability We establish the existence of generalized Busemann functions and Gibbs-Dobrushin-Landford-Ruelle measures for a general class of lattice random walks in random potential with finitely many admissible steps. This class encompasses directed polymers in random environments, first- and last-passage percolation, and elliptic random walks in both static and dynamic random environments in all dimensions and with minimal assumptions on the random potential. |
| title | Existence of generalized Busemann functions and Gibbs measures for random walks in random potentials |
| topic | Probability |
| url | https://arxiv.org/abs/2306.17714 |