Zobrazeno 1 - 10
of 133
pro vyhledávání: '"Laszlo Erdos"'
Autor:
Attila Torma, Miloš Popović, Péter Török, Nikolett Gallé-Szpisjak, Csaba Tölgyesi, András Kelemen, Tamas Vinko, Jelena Šeat, Laszlo Erdos, Róbert Gallé, Zoltán Bátori
Drainage canals are ubiquitous components of agricultural landscapes worldwide. Although canals have greatly contributed to biodiversity loss by desiccating wetlands, they have recently attracted conservation attention due to their potential to funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c212642ae6418de8a40f8cf9e2f8780c
We prove that the energy of any eigenvector of a sum of several independent large Wigner matrices is equally distributed among these matrices with very high precision. This shows a particularly strong microcanonical form of the equipartition principl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f1946a3645464be96db84f6679675c3
Publikováno v:
SIAM Journal on Mathematical Analysis. 50:3271-3290
We consider large random matrices $X$ with centered, independent entries but possibly different variances. We compute the normalized trace of $f(X) g(X^*)$ for $f,g$ functions analytic on the spectrum of $X$. We use these results to compute the long
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1da732dad5658d3a79bf32629869c2b
https://doi.org/10.1137/17m1143125
https://doi.org/10.1137/17m1143125
Publikováno v:
Ann. Probab. 47, no. 3 (2019), 1270-1334
Let $U$ and $V$ be two independent $N$ by $N$ random matrices that are distributed according to Haar measure on $U(N)$. Let $\Sigma$ be a non-negative deterministic $N$ by $N$ matrix. The single ring theorem [26] asserts that the empirical eigenvalue
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf4fa9302bc03a8b01c3bab8230795c4
https://doi.org/10.1214/18-aop1284
https://doi.org/10.1214/18-aop1284
Autor:
László Erdős
This book provides an introduction into the diversity of the environmental movement through great characters in the green sector. The book describes inspiring personal achievements, and at the same time it provides readers with information regarding
The authors consider the nonlinear equation $-\frac 1m=z+Sm$ with a parameter $z$ in the complex upper half plane $\mathbb H $, where $S$ is a positivity preserving symmetric linear operator acting on bounded functions. The solution with values in $
Publikováno v:
Journal of Statistical Physics
We prove optimal local law, bulk universality and non-trivial decay for the off-diagonal elements of the resolvent for a class of translation invariant Gaussian random matrix ensembles with correlated entries.
Comment: arXiv admin note: text ove
Comment: arXiv admin note: text ove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f3c13309ed7d504fc301056232c357c
http://europepmc.org/articles/PMC4926669
http://europepmc.org/articles/PMC4926669
Publikováno v:
Ann. Appl. Probab. 28, no. 1 (2018), 148-203
We consider large random matrices $X$ with centered, independent entries which have comparable but not necessarily identical variances. Girko's circular law asserts that the spectrum is supported in a disk and in case of identical variances, the limi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b34e64ca50ad74cb1aa3b53687044b8
https://doi.org/10.1214/17-aap1302
https://doi.org/10.1214/17-aap1302
Autor:
László Erdős, Horng-Tzer Yau
This book is a concise and self-contained introduction of recent techniques to prove local spectral universality for large random matrices. Random matrix theory is a fast expanding research area, and this book mainly focuses on the methods that the a
Publikováno v:
Ann. Inst. H. Poincaré Probab. Statist. 55, no. 2 (2019), 661-696
For a general class of large non-Hermitian random block matrices $\mathbf{X}$ we prove that there are no eigenvalues away from a deterministic set with very high probability. This set is obtained from the Dyson equation of the Hermitization of $\math
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ba89a7aa26199875661f9a51fea54ec
http://arxiv.org/abs/1706.08343
http://arxiv.org/abs/1706.08343