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math.CO2000
A Distribution Function Arising in Computational Biology
Craig A. Tracy, Harold Widom
Karlin and Altschul in their statistical analysis for multiple high-scoring segments in molecular sequences introduced a distribution function which gives the probability there are…
math.CO1999
Random Words, Toeplitz Determinants and Integrable Systems. I
Alexander R. Its, Craig A. Tracy, Harold Widom
It is proved that the limiting distribution of the length of the longest weakly increasing subsequence in an inhomogeneous random word is related to the distribution function for t…