Radix sort trees in the large

@article{Evans2016RadixST,
  title={Radix sort trees in the large},
  author={Steven N. Evans and A. Wakolbinger},
  journal={arXiv: Probability},
  year={2016}
}
The trie-based radix sort algorithm stores pairwise different infinite binary strings in the leaves of a binary tree in a way that the Ulam-Harris coding of each leaf equals a prefix (that is, an initial segment) of the corresponding string, with the prefixes being of minimal length so that they are pairwise different. We investigate the {\em radix sort tree chains} -- the tree-valued Markov chains that arise when successively storing infinite binary strings $Z_1,\ldots, Z_n$, $n=1,2,\ldots… 
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