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A complete characterization of monotonicity equivalence for continuous-time Markov processes
| العنوان: | A complete characterization of monotonicity equivalence for continuous-time Markov processes |
|---|---|
| المؤلفون: | Machida, Motoya |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability, 60J27 (Primary) 60E05, 06A06 (Secondary) |
| الوصف: | 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. Comment: 23 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.10840 |
| رقم الانضمام: | edsarx.2408.10840 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |