Zobrazeno 1 - 10
of 2 565
pro vyhledávání: '"Erdős, P"'
We consider the standard overlap $\mathcal{O}_{ij}: =\langle \mathbf{r}_j, \mathbf{r}_i\rangle\langle \mathbf{l}_j, \mathbf{l}_i\rangle$ of any bi-orthogonal family of left and right eigenvectors of a large random matrix $X$ with centred i.i.d. entri
Externí odkaz:
http://arxiv.org/abs/2411.16572
We study the sensitivity of the eigenvectors of random matrices, showing that even small perturbations make the eigenvectors almost orthogonal. More precisely, we consider two deformed Wigner matrices $W+D_1$, $W+D_2$ and show that their bulk eigenve
Externí odkaz:
http://arxiv.org/abs/2410.10718
We consider two Hamiltonians that are close to each other, $H_1 \approx H_2 $, and analyze the time-decay of the corresponding Loschmidt echo $\mathfrak{M}(t) := |\langle \psi_0, \mathrm{e}^{\mathrm{i} t H_2} \mathrm{e}^{-\mathrm{i} t H_1} \psi_0 \ra
Externí odkaz:
http://arxiv.org/abs/2410.08108
For correlated real symmetric or complex Hermitian random matrices, we prove that the local eigenvalue statistics at any cusp singularity are universal. Since the density of states typically exhibits only square root edge or cubic root cusp singulari
Externí odkaz:
http://arxiv.org/abs/2410.06813
For general large non-Hermitian random matrices $X$ and deterministic normal deformations $A$, we prove that the local eigenvalue statistics of $A+X$ close to the critical edge points of its spectrum are universal. This concludes the proof of the thi
Externí odkaz:
http://arxiv.org/abs/2409.17030
Autor:
Chandrashekar, Mayanka, Goethert, Ian, Haque, Md Inzamam Ul, McMahon, Benjamin, Dhaubhadel, Sayera, Knight, Kathryn, Erdos, Joseph, Reagan, Donna, Taylor, Caroline, Kuzmak, Peter, Gaziano, John Michael, McAllister, Eileen, Costa, Lauren, Ho, Yuk-Lam, Cho, Kelly, Tamang, Suzanne, Fodeh-Jarad, Samah, Ovchinnikova, Olga S., Justice, Amy C., Hinkle, Jacob, Danciu, Ioana
Objectives: This study aims to assess the impact of domain shift on chest X-ray classification accuracy and to analyze the influence of ground truth label quality and demographic factors such as age group, sex, and study year. Materials and Methods:
Externí odkaz:
http://arxiv.org/abs/2407.21149
Publikováno v:
Advances in Applied Mathematics 2025
The notion of $P$-stability of an infinite set of degree sequences plays influential role in approximating the permanents, rapidly sampling the realizations of graphic degree sequences, or even studying and improving network privacy. While there exis
Externí odkaz:
http://arxiv.org/abs/2405.12013
Autor:
Knight, Kathryn, Danciu, Ioana, Ovchinnikova, Olga, Hinkle, Jacob, Shekar, Mayanka Chandra, Mukherjee, Debangshu, McAllister, Eileen, Rizy, Caitlin, Cho, Kelly, Justice, Amy C., Erdos, Joseph, Kuzmak, Peter, Costa, Lauren, Ho, Yuk-Lam, Madipadga, Reddy, Tamang, Suzanne, Goethert, Ian
The compilation and analysis of radiological images poses numerous challenges for researchers. The sheer volume of data as well as the computational needs of algorithms capable of operating on images are extensive. Additionally, the assembly of these
Externí odkaz:
http://arxiv.org/abs/2404.18842
For general non-Hermitian random matrices $X$ and deterministic deformation matrices $A$, we prove that the local eigenvalue statistics of $A+X$ close to the typical edge points of its spectrum are universal. Furthermore, we show that under natural a
Externí odkaz:
http://arxiv.org/abs/2404.17512
Autor:
Riabov, Volodymyr, Erdős, László
We prove the Eigenstate Thermalization Hypothesis for general Wigner-type matrices in the bulk of the self-consistent spectrum, with optimal control on the fluctuations for observables of arbitrary rank. As the main technical ingredient, we prove ran
Externí odkaz:
http://arxiv.org/abs/2403.10359