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- W4288410123 abstract "We investigate the longest common substring problem for encoded sequences and its asymptotic behaviour. The main result is a strong law of large numbers for a re-scaled version of this quantity, which presents an explicit relation with the R'enyi entropy of the source. We apply this result to the zero-inflated contamination model and the stochastic scrabble. In the case of dynamical systems, this problem is equivalent to the shortest distance between two observed orbits and its limiting relationship with the correlation dimension of the pushforward measure. An extension to the shortest distance between orbits for random dynamical systems is also provided." @default.
- W4288410123 created "2022-07-29" @default.
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- W4288410123 date "2019-03-22" @default.
- W4288410123 modified "2023-10-16" @default.
- W4288410123 title "Matching strings in encoded sequences" @default.
- W4288410123 doi "https://doi.org/10.48550/arxiv.1903.09625" @default.
- W4288410123 hasPublicationYear "2019" @default.
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