7 citations · 8 across the 5 of their papers we have counts for
6 papers
Precise asymptotics of longest cycles in random permutations without macroscopic cycles
Volker Betz, Julian Mühlbauer, Helge Schäfer +1
We consider Ewens random permutations of length conditioned to have no cycle longer than with and to study the asymptotic behaviour as . We obtain ver…
Long cycle of random permutations with polynomially growing cycle weights
Dirk Zeindler
We study the asymptotic behavior of the long cycles of a random permutation of objects with respect to multiplicative measures with polynomial growing cycle weights. We show th…
Random permutations with logarithmic cycle weights
Nicolas Robles, Dirk Zeindler
We consider random permutations on $\Sn$ with logarithmic growing cycles weights and study asymptotic behavior as the length tends to infinity. We show that the cycle count pro…
The order of large random permutations with cycle weights
Julia Storm, Dirk Zeindler
The order of a permutation of objects is the smallest integer such that the -th iterate of gives the identity. A remarkable result about the orde…
Large cycles and a functional central limit theorem for generalized weighted random permutations
Ashkan Nikeghbali, Julia Storm, Dirk Zeindler
The objects of our interest are the so-called -permutations, which are permutations whose cycle length lie in a fixed set . They have been extensively studied with respect to…
The generalized weighted probability measure on the symmetric group and the asymptotic behavior of the cycles
Ashkan Nikeghbali, Dirk Zeindler
The goal of this paper is to analyse the asymptotic behavior of the cycle process and the total number of cycles of weighted and generalized weighted random permutations which are…