Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Zeindler, Dirk"'
Let $\mathbb{P}$ denote the set of primes and $\mathcal{N}\subset \mathbb{N}$ be a set with arbitrary weights attached to its elements. Set $\mathfrak{p}_{\mathcal{N}}(n)$ to be the restricted partition function which counts partitions of $n$ with al
Externí odkaz:
http://arxiv.org/abs/2212.12489
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 May 2024 533(1)
We consider Ewens random permutations of length $n$ conditioned to have no cycle longer than $n^\beta$ with $0<\beta<1$ and to study the asymptotic behaviour as $n\to\infty$. We obtain very precise information on the joint distribution of the lengths
Externí odkaz:
http://arxiv.org/abs/2004.09904
Autor:
Zeindler, Dirk
We study the asymptotic behavior of the long cycles of a random permutation of $n$ objects with respect to multiplicative measures with polynomial growing cycle weights. We show that the longest cycle and the length differences between the longest cy
Externí odkaz:
http://arxiv.org/abs/1911.06649
Autor:
Robles, Nicolas, Zeindler, Dirk
We consider random permutations on $\Sn$ with logarithmic growing cycles weights and study asymptotic behavior as the length $n$ tends to infinity. We show that the cycle count process converges to a vector of independent Poisson variables and also c
Externí odkaz:
http://arxiv.org/abs/1806.04700
Publikováno v:
Research in the Mathematical Sciences, Volume 7, article number 2, (2020)
The second moment of the Riemann zeta-function twisted by a normalized Dirichlet polynomial with coefficients of the form $(\mu \star \Lambda_1^{\star k_1} \star \Lambda_2^{\star k_2} \star \cdots \star \Lambda_d^{\star k_d})$ is computed uncondition
Externí odkaz:
http://arxiv.org/abs/1802.10521
We consider uniform random permutations of length $n$ conditioned to have no cycle longer than $n^\beta$ with $0<\beta<1$, in the limit of large $n$. Since in unconstrained uniform random permutations most of the indices are in cycles of macroscopic
Externí odkaz:
http://arxiv.org/abs/1712.04738
Publikováno v:
The Annals of Applied Probability, 2020 Jun 01. 30(3), 1484-1505.
Externí odkaz:
https://www.jstor.org/stable/26965980
We study the second moment of the L-function associated to a holomorphic primitive cusp form of even weight perturbed by a new family of mollifiers. This family is a natural extension of the mollifers considered by Conrey and by Bui, Conrey and Young
Externí odkaz:
http://arxiv.org/abs/1609.03738
The mollification $\zeta(s) + \zeta'(s)$ put forward by Feng is computed by analytic methods coming from the techniques of the ratios conjectures of $L$-functions. The current situation regarding the percentage of non-trivial zeros of the Riemann zet
Externí odkaz:
http://arxiv.org/abs/1605.02604