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RanMatRanGraCircEl SIGNED

Random Matrices, Random Graphs and Circular Elements

Total Cost €

0

EC-Contrib. €

0

Partnership

0

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Project "RanMatRanGraCircEl" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITE DE GENEVE 

Organization address
address: RUE DU GENERAL DUFOUR 24
city: GENEVE
postcode: 1211
website: www.unige.ch

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Switzerland [CH]
 Total cost 178˙207 €
 EC max contribution 178˙207 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2019
 Funding Scheme MSCA-IF-GF
 Starting year 2020
 Duration (year-month-day) from 2020-09-01   to  2022-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITE DE GENEVE CH (GENEVE) coordinator 178˙207.00
2    NEW YORK UNIVERSITY US (NEW YORK) partner 0.00

Map

 Project objective

Random matrix statistics are a paradigm for the collective behaviour of many strongly correlated random variables. The proposed projects will fundamentally advance our knowledge about random matrices in novel directions.

We study spectral properties of random matrices when the matrix size becomes large. More specifically, we establish the universality of the fluctuations of the smallest singular value of almost square random matrices with independent entries. Moreover, we determine the asymptotic eigenvalue density of non-normal random matrices with correlated entries of general expectation and the Brown measure of operator-valued circular elements. We also obtain a central limit theorem for the difference of the linear statistics of a matrix with independent, identically distributed entries and its minor. Furthermore, we analyse the spectra of random graphs. Specifically, a transition in the eigenvalue fluctuations of very sparse Erdos-Renyi graphs, the eigenvector delocalisation of directed Erdos-Renyi graphs as well as the extreme eigenvalues and eigenvectors of preferential attachment graphs. Finally, we investigate a variational problem motivated by wireless communication.

The techniques proposed for these projects comprise a variety of tools from analysis (spectral theory, variational methods), probability theory (stochastic differential equations, large deviation bounds) and mathematical physics (self-consistent equations). For the purpose of these projects, the tools mentioned above will be developed further.

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The information about "RANMATRANGRACIRCEL" are provided by the European Opendata Portal: CORDIS opendata.

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lastchecktime (2021-05-17 4:25:29) correctly updated