Patricia's Bad Distributions
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909206633775104 |
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| author | Addario-Berry, Louigi Morin, Pat Neininger, Ralph |
| author_facet | Addario-Berry, Louigi Morin, Pat Neininger, Ralph |
| contents | The height of a random PATRICIA tree built from independent, identically distributed infinite binary strings with arbitrary diffuse probability distribution $μ$ on $\{0,1\}^\mathbb{N}$ is studied. We show that the expected height grows asymptotically sublinearly in the number of leaves for any such $μ$, but can be made to exceed any specific sublinear growth rate by choosing $μ$ appropriately. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05269 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Patricia's Bad Distributions Addario-Berry, Louigi Morin, Pat Neininger, Ralph Probability 68P05, 60C05, 68R15, 68P10 The height of a random PATRICIA tree built from independent, identically distributed infinite binary strings with arbitrary diffuse probability distribution $μ$ on $\{0,1\}^\mathbb{N}$ is studied. We show that the expected height grows asymptotically sublinearly in the number of leaves for any such $μ$, but can be made to exceed any specific sublinear growth rate by choosing $μ$ appropriately. |
| title | Patricia's Bad Distributions |
| topic | Probability 68P05, 60C05, 68R15, 68P10 |
| url | https://arxiv.org/abs/2403.05269 |