Estimation of First Returning Speed in Null Recurrent Continuous-Time Markov Chains
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909975712890880 |
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| author | Wang, Huixi Zhao, Minzhi |
| author_facet | Wang, Huixi Zhao, Minzhi |
| contents | This paper establishes a novel connection between null-recurrent CTMCs and electric networks, offering a systematic classification of null-recurrent behavior based on the first returning speed. By leveraging techniques from electric network theory, we present a general method for estimating the first returning speed of null recurrent birth-death processes and provide some important examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17190 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Estimation of First Returning Speed in Null Recurrent Continuous-Time Markov Chains Wang, Huixi Zhao, Minzhi Probability 60J27 This paper establishes a novel connection between null-recurrent CTMCs and electric networks, offering a systematic classification of null-recurrent behavior based on the first returning speed. By leveraging techniques from electric network theory, we present a general method for estimating the first returning speed of null recurrent birth-death processes and provide some important examples. |
| title | Estimation of First Returning Speed in Null Recurrent Continuous-Time Markov Chains |
| topic | Probability 60J27 |
| url | https://arxiv.org/abs/2512.17190 |