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math.PR2000
A growth model in a random environment
Janko Gravner, Craig A. Tracy, Harold Widom
We consider a model of interface growth in two dimensions, given by a height function on the sites of the one--dimensional integer lattice. According to the discrete time update ru…
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…