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math.PR2016
The continuum Pólya-like random walk
Daniel Krenn, Hosam Mahmoud, Mark Daniel Ward
The Pólya urn scheme is a discrete-time process concerning the addition and removal of colored balls. There is a known embedding of it in continuous-time, called the Pólya process.…
math.PR2016
On the variety of shapes in digital trees
Jeffrey Gaither, Hosam Mahmoud, Mark Daniel Ward
We study the joint distribution of the number of occurrences of members of a collection of nonoverlapping motifs in digital data. We deal with finite and countably infinite collect…