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

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

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 conj...

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Bibliographic Details
Main Author: Machida, Motoya
Format: Journal Article
Language:English
Published: 20-08-2024
Subjects:
Mathematics - Probability
Online Access:Get full text
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Summary: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.
DOI:10.48550/arxiv.2408.10840