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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
Autor:
Hugues Maxime, Hopkinson Mark, Chaqmaqchee Faten, Mazzucato Simone, Oduncuoglu Murat, Balkan Naci, Sun Yun, Gunes Mustafa
Publikováno v:
Nanoscale Research Letters, Vol 6, Iss 1, p 104 (2011)
Abstract Hot electron light emission and lasing in semiconductor heterostructure (Hellish) devices are surface emitters the operation of which is based on the longitudinal injection of electrons and holes in the active region. These devices can be de
Externí odkaz:
https://doaj.org/article/6f6ff4faa97d4601ac4515b639a3c916
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