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SpTheoryGraphLim

Spectral Theory of Graph Limits

Total Cost €

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EC-Contrib. €

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Partnership

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Project "SpTheoryGraphLim" data sheet

The following table provides information about the project.

Coordinator
MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET 

Organization address
address: REALTANODA UTCA 13-15
city: Budapest
postcode: 1053
website: http://www.renyi.hu

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 Hungary [HU]
 Project website http://www.renyi.hu/
 Total cost 134˙239 €
 EC max contribution 134˙239 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2014
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2015
 Duration (year-month-day) from 2015-05-01   to  2017-04-30

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET HU (Budapest) coordinator 134˙239.00

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 Project objective

The need to understand the behavior of real-life networks made it necessary to work out non-standard graph theoretic tools capable of dealing with a large number of interacting nodes. New mathematical areas emerged, such as graph convergence or parallel algorithms.

The proposal suggests the study of the spectral aspects of these areas. The proposed research is built around two core problems that grew out of and are natural continuations of Harangi's previous work in spectral graph theory at the University of Toronto. One is a spectral version of the so-called soficity problem, a major open question in the area of Benjamini-Schramm convergence. The other is an ambitious conjecture of Harangi and Virag concerning eigenvectors of random regular graphs, stating that these eigenvectors converge to Gaussian wave functions.

In the past few years the Renyi Institute has become the European center for studying graph convergence with several experts of the field working there as well as many talented and motivated graduate students and postdoctoral fellows. Being a member of this research group will allow Harangi to collaborate with researchers from various different mathematical disciplines. The proposed research topic is at the meeting point of these areas. The host's expertise in groups and graph limits will complement Harangi's analytic skills.

The proposed fellowship would give Harangi an excellent oppurtinity to work with some of the top researchers in his field, to acquire the necessary tools to crack the exciting research problems proposed and to make the optimal next step in his career.

 Publications

year authors and title journal last update
List of publications.
2017 Balázs Gerencsér and Viktor Harangi
Mutual information decay for factors of IID
published pages: , ISSN: 0143-3857, DOI:
Ergodic Theory and Dynamical Systems accepted for publication, to ap 2019-07-24
2017 Ágnes Backhausz, Balázs Gerencsér, Viktor Harangi, Máté Vizer
Correlation bound for distant parts of factor of IID processes
published pages: , ISSN: 0963-5483, DOI:
Combinatorics, Probability and Computing accepted for publication, to ap 2019-07-24

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

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