A complete characterization of monotonicity equivalence for continuous-time Markov processes
Probability
2024-08-23 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2408.10840,
title = {A complete characterization of monotonicity equivalence for continuous-time Markov processes},
author = {Motoya Machida},
journal= {arXiv preprint arXiv:2408.10840},
year = {2024}
}
Comments
23 pages, 3 figures