A symbolic computational approach to the generalized gambler's ruin problem in one and two dimensions
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911420079144960 |
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| author | Martinez, Lucy |
| author_facet | Martinez, Lucy |
| contents | The power of symbolic computation, as opposed to mere numerical computation, is illustrated with efficient algorithms for studying the generalized gambler's ruin problem in one and two dimensions. We also consider a new generalization of the classical gambler's ruin where we add a third step which we call the mirror step. In this scenario, we provide closed formulas for the probability and expected duration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07667 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A symbolic computational approach to the generalized gambler's ruin problem in one and two dimensions Martinez, Lucy Combinatorics Probability 05 The power of symbolic computation, as opposed to mere numerical computation, is illustrated with efficient algorithms for studying the generalized gambler's ruin problem in one and two dimensions. We also consider a new generalization of the classical gambler's ruin where we add a third step which we call the mirror step. In this scenario, we provide closed formulas for the probability and expected duration. |
| title | A symbolic computational approach to the generalized gambler's ruin problem in one and two dimensions |
| topic | Combinatorics Probability 05 |
| url | https://arxiv.org/abs/2412.07667 |