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arXiv · 2403.05269

Patricia's Bad Distributions

Louigi Addario-Berry·Pat Morin·Ralph Neininger
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Abstract

The height of a random PATRICIA tree built from independent, identically distributed infinite binary strings with arbitrary diffuse probability distribution $\mu$ on $\{0,1\}^\mathbb{N}$ is studied. We show that the expected height grows asymptotically sublinearly in the number of leaves for any such $\mu$, but can be made to exceed any specific sublinear growth rate by choosing $\mu$ appropriately.

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Louigi Addario-Berry, Pat Morin, Ralph Neininger. 2024-03-08. Patricia's Bad Distributions. https://doi.org/10.4230/lipics.aofa.2024.9

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