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math.CO2011★ 18 cited
Monotone Hurwitz numbers and the HCIZ integral II
Ian P. Goulden, Mathieu Guay-Paquet, Jonathan Novak
Motivated by results for the HCIZ integral in Part I of this paper, we study the structure of monotone Hurwitz numbers, which are a desymmetrized version of classical Hurwitz numbe…
math.CO2009
Avoiding Squares and Overlaps Over the Natural Numbers
Mathieu Guay-Paquet, Jeffrey Shallit
We consider avoiding squares and overlaps over the natural numbers, using a greedy algorithm that chooses the least possible integer at each step; the word generated is lexicograph…