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arXiv · 2408.10840

A complete characterization of monotonicity equivalence for continuous-time Markov processes

Motoya Machida
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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.

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Motoya Machida. 2024-08-20. A complete characterization of monotonicity equivalence for continuous-time Markov processes. https://arxiv.org/abs/2408.10840

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