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Showing 2007 · math.COShow all
3 papers · 2 filters
math.CO2007★ 11 cited
Theory of dimension for large discrete sets and applications
Alex Iosevich, Misha Rudnev, Ignacio Uriarte-Tuero
We define two notions of discrete dimension based on the Minkowski and Hausdorff dimensions in the continuous setting. After proving some basic results illustrating these definitio…
math.CO2007
Compositions inside a rectangle and unimodality
Bruce E. Sagan
Let c^{k,l}(n) be the number of compositions (ordered partitions) of the integer n whose Ferrers diagram fits inside a k-by-l rectangle. The purpose of this note is to give a simpl…
math.CO2007★ 2 cited
Set partition statistics and q-Fibonacci numbers
Adam Goyt, Bruce Sagan
We consider the set partition statistics ls and rb introduced by Wachs and White and investigate their distribution over set partitions avoiding certain patterns. In particular, we…