Scaling limits of the Bouchaud and Dean trap model on Parisi's tree in ergodic and aging time scales
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| Format: | Preprint |
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2025
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| _version_ | 1866909846669885440 |
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| author | Fontes, Luiz Renato Hernández, Andrea |
| author_facet | Fontes, Luiz Renato Hernández, Andrea |
| contents | We take scaling limits of the Bouchaud and Dean trap model on Parisi's tree in time scales where the dynamics is either ergodic (close to equilibrium) or aging (far from equilibrium). These results follow from a continuity theorem formulated for a certain kind of process on trees, which we call a cascading jump evolution, defined in terms of a collection of jump functions, with a cascading structure given by the tree. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_20083 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scaling limits of the Bouchaud and Dean trap model on Parisi's tree in ergodic and aging time scales Fontes, Luiz Renato Hernández, Andrea Probability 60K37, 82C44 We take scaling limits of the Bouchaud and Dean trap model on Parisi's tree in time scales where the dynamics is either ergodic (close to equilibrium) or aging (far from equilibrium). These results follow from a continuity theorem formulated for a certain kind of process on trees, which we call a cascading jump evolution, defined in terms of a collection of jump functions, with a cascading structure given by the tree. |
| title | Scaling limits of the Bouchaud and Dean trap model on Parisi's tree in ergodic and aging time scales |
| topic | Probability 60K37, 82C44 |
| url | https://arxiv.org/abs/2505.20083 |