Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2312.02096 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908485779718144 |
|---|---|
| author | Kaur, Gursharn Sahasrabudhe, Neeraja |
| author_facet | Kaur, Gursharn Sahasrabudhe, Neeraja |
| contents | We consider interacting urns on a finite directed network, where both sampling and reinforcement processes depend on the nodes of the network. This extends previous research by incorporating node-dependent sampling and reinforcement. We classify the sampling and reinforcement schemes, as well as the networks on which the proportion of balls of either colour in each urn converges almost surely to a deterministic limit. We also investigate conditions for achieving synchronisation of the colour proportions across the urns and analyse fluctuations under specific conditions on the reinforcement scheme and network structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02096 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Interacting Urns on Directed Networks with Node-Dependent Sampling and Reinforcement Kaur, Gursharn Sahasrabudhe, Neeraja Probability We consider interacting urns on a finite directed network, where both sampling and reinforcement processes depend on the nodes of the network. This extends previous research by incorporating node-dependent sampling and reinforcement. We classify the sampling and reinforcement schemes, as well as the networks on which the proportion of balls of either colour in each urn converges almost surely to a deterministic limit. We also investigate conditions for achieving synchronisation of the colour proportions across the urns and analyse fluctuations under specific conditions on the reinforcement scheme and network structure. |
| title | Interacting Urns on Directed Networks with Node-Dependent Sampling and Reinforcement |
| topic | Probability |
| url | https://arxiv.org/abs/2312.02096 |