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• W2006360905 abstract "We use the traveling front approach to derive exact asymptotic results for the statistics of the number of particles in a class of directed diffusion-limited aggregation models on a Cayley tree. We point out that some aspects of these models are closely connected to two different problems in computer science, namely, the digital search tree problem in data structures and the Lempel-Ziv algorithm for data compression. The statistics of the number of particles studied here is related to the statistics of height in digital search trees which, in turn, is related to the statistics of the length of the longest word formed by the Lempel-Ziv algorithm. Implications of our results to these computer science problems are pointed out." @default.
• W2006360905 created "2016-06-24" @default.
• W2006360905 creator A5047748977 @default.
• W2006360905 date "2003-08-05" @default.
• W2006360905 modified "2023-09-30" @default.
• W2006360905 title "Traveling front solutions to directed diffusion-limited aggregation, digital search trees, and the Lempel-Ziv data compression algorithm" @default.
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• W2006360905 doi "https://doi.org/10.1103/physreve.68.026103" @default.
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