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math.CO2026
Asymptotic probability of irreducibles III: Anti-SEQ
Thierry Monteil, Khaydar Nurligareev
In this paper, we study the structure of the complete asymptotic expansion of the probability that a large combinatorial object is connected or consists of a given number of connec…
math.CO2025
Asymptotic probability of irreducibles II: sequence
Thierry Monteil, Khaydar Nurligareev
This paper is devoted to the structure of the complete asymptotic expansion of the probability that a large combinatorial object is irreducible or consists of a given number of irr…
math.CO2024★ 1 cited
Asymptotic probability for connectedness
Thierry Monteil, Khaydar Nurligareev
We study the structure of the asymptotic expansion of the probability that a combinatorial object is connected. We show that the coefficients appearing in those asymptotics are int…