A complete characterization of monotonicity equivalence for continuous-time Markov processes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911998904631296 |
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| author | Machida, Motoya |
| author_facet | Machida, Motoya |
| contents | Dai Pra et al studied two notions of monotonicity for continuous-time Markov processes on a finite partially ordered set (poset), and conjectured that monotonicity equivalence holds for a poset of W-glued diamond, and that there is no other case when it has no acyclic extension. We proved their conjecture and were able to provide a complete characterization of posets for monotonicity equivalence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10840 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A complete characterization of monotonicity equivalence for continuous-time Markov processes Machida, Motoya Probability 60J27 (Primary) 60E05, 06A06 (Secondary) Dai Pra et al studied two notions of monotonicity for continuous-time Markov processes on a finite partially ordered set (poset), and conjectured that monotonicity equivalence holds for a poset of W-glued diamond, and that there is no other case when it has no acyclic extension. We proved their conjecture and were able to provide a complete characterization of posets for monotonicity equivalence. |
| title | A complete characterization of monotonicity equivalence for continuous-time Markov processes |
| topic | Probability 60J27 (Primary) 60E05, 06A06 (Secondary) |
| url | https://arxiv.org/abs/2408.10840 |