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pro vyhledávání: '"Kammoun, Mohamed"'
Autor:
Féray, Valentin, Kammoun, Mohamed Slim
We prove, under mild conditions on fixed points and two cycles, the asymptotic normality of vincular pattern counts for a permutation chosen uniformly at random in a conjugacy class.Additionally, we prove that the limiting variance is always non-dege
Externí odkaz:
http://arxiv.org/abs/2312.08756
Autor:
Kammoun, Mohamed Slim
The work of Vershik and Kerov [1977], Logan and Shepp [1977] established that the shape of the scaled random young diagram in Russian notation, as determined by the Plancherel measure, converges to a deterministic shape. In this article, we focus on
Externí odkaz:
http://arxiv.org/abs/2305.04787
Autor:
Kammoun, Mohamed Slim, Maïda, Mylène
We study the cycle structure of words in several random permutations. We assume that the permutations are independent and that their distribution is conjugation invariant, with a good control on their short cycles. If, after successive cyclic simplif
Externí odkaz:
http://arxiv.org/abs/2204.04759
Autor:
Kammoun, Mohamed Slim
We present some Markovian approaches to prove universality results for some functions on the symmetric group. Some of those statistics are already studied in [Kammoun, 2018, 2020] but not the general case. We prove, in particular, that the number of
Externí odkaz:
http://arxiv.org/abs/2012.05845
Autor:
Kammoun, Mohamed Slim, Maïda, Mylène
We use moment method to understand the cycle structure of the composition of independent invariant permutations. We prove that under a good control on fixed points and cycles of length 2, the limiting joint distribution of the number of small cycles
Externí odkaz:
http://arxiv.org/abs/1910.04031
Autor:
Kammoun, Mohamed Slim
Bukh and Zhou conjectured that the expectation of the length of the longest common subsequence of two i.i.d random permutations of size $n$ is greater than $\sqrt{n}$. We prove in this paper that there exists a universal constant $n_1$ such that thei
Externí odkaz:
http://arxiv.org/abs/1904.00725
Akademický článek
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Autor:
Kammoun, Mohamed Slim
It is known from the work of Baik, Deift, and Johansson [1999] that we have Tracy-Widom fluctuations for the longest increasing subsequence of uniform permutations. In this paper, we prove that this result holds also in the case of the Ewens distribu
Externí odkaz:
http://arxiv.org/abs/1805.05253
Autor:
Nguyen, Linh Duy, Kammoun, Mohamed Ayman, Bui, Minh Quang, Sistat, Philippe, Deratani, André, Zaviska, François
Publikováno v:
In Journal of Cleaner Production 10 September 2022 365
Autor:
Kammoun, Mohamed Slim
Publikováno v:
In Stochastic Processes and their Applications May 2022 147:76-106