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math.CO2018★ 4 cited
An asymptotic distribution theory for Eulerian recurrences with applications
Hsien-Kuei Hwang, Hua-Huai Chern, Guan-Huei Duh
We study linear recurrences of Eulerian type of the form \[ P_n(v) = (α(v)n+γ(v))P_{n-1}(v) +β(v)(1-v)P_{n-1}'(v)\qquad(n\ge1), \] with given, where and $γ(v)…
math.CO2018
Asymptotic Distribution of Parameters in Random Maps
Olivier Bodini, Julien Courtiel, Sergey Dovgal +1
We consider random rooted maps without regard to their genus, with fixed large number of edges, and address the problem of limiting distributions for six different parameters: vert…