3 citations · 4 across the 2 of their papers we have counts for
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math.CO2016★ 3 cited
Asymptotic analysis of the cyclic structure of permutations
Robertas Petuchovas
This is my dissertation. Its research object is a symmetric group of permutations acting on a finite set. The density of permutations with a given cycle structure pattern is explor…
math.CO2016★ 1 cited
Recent results on permutations without short cycles
Robertas Petuchovas
The density, denoted by , of permutations having no cycles of length less than in a symmetric group is explored. New asymptotic formulas for a…
math.CO2014
Local probabilities for random permutations without long cycles
Eugenijus Manstavičius, Robertas Petuchovas
We explore the probability that a permutation sampled from the symmetric group of order n uniformly at random has cycles of lengths not exceeding r. Asymptotic formulas valid in sp…