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pro vyhledávání: '"Gunes, Mustafa"'
The joint moments of the derivatives of the characteristic polynomial of a random unitary matrix, and also a variant of the characteristic polynomial that is real on the unit circle, in the large matrix size limit, have been studied intensively in th
Externí odkaz:
http://arxiv.org/abs/2407.19233
Publikováno v:
Porto, Portugal: SIS-Symmetry (2022) pp. 96-104
This study integrates artificial intelligence and computational design tools to extract information from architectural heritage. Photogrammetry-based point cloud models of brick walls from the Anatolian Seljuk period are analysed in terms of the inte
Externí odkaz:
http://arxiv.org/abs/2210.12856
Autor:
Gunes, Mustafa Alper
Starting from Montgomery's conjecture, there has been a substantial interest on the connections of random matrix theory and the theory of L-functions. In particular, moments of characteristic polynomials of random matrices have been considered in var
Externí odkaz:
http://arxiv.org/abs/2208.08827
The problem of convergence of the joint moments, which depend on two parameters $s$ and $h$, of the characteristic polynomial of a random Haar-distributed unitary matrix and its derivative, as the matrix size goes to infinity, has been studied for tw
Externí odkaz:
http://arxiv.org/abs/2110.05406
A reverse H\'older inequality for first eigenfunctions of the Dirichlet Laplacian on RCD(K,N) spaces
Autor:
Gunes, Mustafa Alper, Mondino, Andrea
Publikováno v:
Proc. Amer. Math. Soc. 151 (2023), no. 1, 295--311
In the framework of (possibly non-smooth) metric measure spaces with Ricci curvature bounded below by a positive constant in a synthetic sense, we establish a sharp and rigid reverse-H\"older inequality for first eigenfunctions of the Dirichlet Lapla
Externí odkaz:
http://arxiv.org/abs/2110.00292
Publikováno v:
Prob. Math. Phys. 2 (2021) 613-642
A family of random variables $\mathbf{X}(s)$, depending on a real parameter $s>-\frac{1}{2}$, appears in the asymptotics of the joint moments of characteristic polynomials of random unitary matrices and their derivatives, in the ergodic decomposition
Externí odkaz:
http://arxiv.org/abs/2009.04760
In this paper we prove that, after an appropriate rescaling, the sum of moments $\mathbb{E}_{N}^{(s)} \left( Tr \left( |\mathbf{H}|^{2k+2}+|\mathbf{H}|^{2k}\right) \right)$ of an $N\times N$ Hermitian matrix $\mathbf{H}$ sampled according to the gene
Externí odkaz:
http://arxiv.org/abs/2009.04752
Publikováno v:
In Physica B: Condensed Matter 15 September 2023 665
Autor:
Kerimova, Shemshat, Donmez, Omer, Gunes, Mustafa, Kuruoglu, Furkan, Aydın, Mustafa, Gumus, Cebrail, Erol, Ayse
Publikováno v:
In Materials Science & Engineering B April 2023 290
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