Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.30737 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910271581192192 |
|---|---|
| author | Cruz-dela-Rosa, Marco Antonio Guerrero-Poblete, Fernando |
| author_facet | Cruz-dela-Rosa, Marco Antonio Guerrero-Poblete, Fernando |
| contents | In this work, we define the interaction graph for a continuous-time Markov chain to analyze its dynamic structure. Under certain assumptions, we demonstrate that verifying Kolmogorov's reversibility criterion reduces to checking it for a cycle basis of the incidence matrix kernel associated with the interaction graph. This result provides an efficient tool for verifying reversibility in Markov continuous chains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_30737 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Reducing Kolmogorov's Reversibility Criterion Via a Basis for the Interaction Graph Kernel Cruz-dela-Rosa, Marco Antonio Guerrero-Poblete, Fernando Probability 60J27 In this work, we define the interaction graph for a continuous-time Markov chain to analyze its dynamic structure. Under certain assumptions, we demonstrate that verifying Kolmogorov's reversibility criterion reduces to checking it for a cycle basis of the incidence matrix kernel associated with the interaction graph. This result provides an efficient tool for verifying reversibility in Markov continuous chains. |
| title | Reducing Kolmogorov's Reversibility Criterion Via a Basis for the Interaction Graph Kernel |
| topic | Probability 60J27 |
| url | https://arxiv.org/abs/2605.30737 |