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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.03537 |
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| _version_ | 1866908575470714880 |
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| author | Carter, Rebecca Murty, M. Ram |
| author_facet | Carter, Rebecca Murty, M. Ram |
| contents | After a brief review of the key theorems concerning recurrent sequences, we give an explicit computation of the inverse of the Vandermonde matrix. This will then be used to derive sub-exponential decay error terms in the ergodic theorem of Markov chains. Finally, we apply these results to give estimates for the diameters of directed graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03537 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linear Recurrent Sequences, Markov Chains and Their Applications in Graph Theory Carter, Rebecca Murty, M. Ram Combinatorics 60J10, 60J20 After a brief review of the key theorems concerning recurrent sequences, we give an explicit computation of the inverse of the Vandermonde matrix. This will then be used to derive sub-exponential decay error terms in the ergodic theorem of Markov chains. Finally, we apply these results to give estimates for the diameters of directed graphs. |
| title | Linear Recurrent Sequences, Markov Chains and Their Applications in Graph Theory |
| topic | Combinatorics 60J10, 60J20 |
| url | https://arxiv.org/abs/2510.03537 |