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math.CO2022
The minimal sum of squares over partitions with a nonnegative rank
Sela Fried
Motivated by a question of Defant and Propp (2020) regarding the connection between the degrees of noninvertibility of functions and those of their iterates, we address the combina…
math.CO2022
The expected degree of noninvertibility of compositions of functions and a related combinatorial identity
Sela Fried
Recently, Defant and Propp [2020] defined the degree of noninvertibility of a function between two finite nonempty sets by $\text{deg}(f)=\frac{1}{|X|}\sum_{x\in X…