PLEXMATH

Mathematical framework for multiplex networks

 Coordinatore UNIVERSITAT ROVIRA I VIRGILI 

 Organization address address: AVDA PAISOS CATALANS 26
city: TARRAGONA
postcode: 43007

contact info
Titolo: Prof.
Nome: ALEX
Cognome: ARENAS
Email: send email
Telefono: 34977559687
Fax: 34977559710

 Nazionalità Coordinatore Spain [ES]
 Totale costo 1˙975˙673 €
 EC contributo 1˙515˙000 €
 Programma FP7-ICT
Specific Programme "Cooperation": Information and communication technologies
 Code Call FP7-ICT-2011-8
 Funding Scheme CP
 Anno di inizio 2012
 Periodo (anno-mese-giorno) 2012-11-01   -   2015-10-31

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    UNIVERSITAT ROVIRA I VIRGILI

 Organization address address: AVDA PAISOS CATALANS 26
city: TARRAGONA
postcode: 43007

contact info
Titolo: Prof.
Nome: ALEX
Cognome: ARENAS
Email: send email
Telefono: 34977559687
Fax: 34977559710

ES (TARRAGONA) coordinator 0.00
2    COMMISSARIAT A L ENERGIE ATOMIQUE ET AUX ENERGIES ALTERNATIVES

 Organization address address: RUE LEBLANC
city: PARIS 15
postcode: 75015

contact info
Titolo: Mr.
Nome: Jean-Christophe
Cognome: Coste
Email: send email
Telefono: 33169089097
Fax: 33169082199

FR (PARIS 15) participant 0.00
3    THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD

 Organization address address: University Offices, Wellington Square
city: OXFORD
postcode: OX1 2JD

contact info
Titolo: Ms.
Nome: Linda
Cognome: Pialek
Email: send email
Telefono: +44 1865 289800
Fax: +44 1865 289801

UK (OXFORD) participant 0.00
4    UNIVERSIDAD DE ZARAGOZA

 Organization address address: CALLE PEDRO CERBUNA
city: Zaragoza
postcode: 50009

contact info
Titolo: Mr.
Nome: Oscar
Cognome: Lopez Lorente
Email: send email
Telefono: +34 97676100

ES (Zaragoza) participant 0.00
5    UNIVERSITY OF LIMERICK

 Organization address address: NATIONAL TECHNOLOGICAL PARK, PLASSEY
city: LIMERICK
postcode: -

contact info
Titolo: Ms.
Nome: Rosemary
Cognome: Fogarty
Email: send email
Telefono: +353 61 213136
Fax: +353 61 233642

IE (LIMERICK) participant 0.00

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rank    structure    networks    social    equations    mathematical    ict    plexmath    dynamical   

 Obiettivo del progetto (Objective)

The aim of PLEXMATH is that of formulating a brand new mathematical framework for the analysis of multi-level time-dependent complex networks in terms of tensor-like structures, in particular rank-four objects that represent with four indices the most general structure of possible connections. Generally speaking, our goal is similar to that of Maxwell equations when representing the foundation of classical electromagnetism, i.e. to provide a closed representation of the theory (of complex networks in our case) unifying notation and dynamical equations.nWe therefore will accommodate current and future theoretical and algorithmic needs by adopting a radically new point of view. Capitalizing on 4th-rank order algebra we will reformulate all network descriptors and will propose dynamical equations to represent diffusive processes on multiplex networks. In doing this, we will generate new mathematical models that will be validated on unparalleled amounts of ICT data that describe relevant socioeconomic and techno- social systems, like the structure and dynamics of social networks and transportation systems that operate at different levels. PLEXMATH constitutes a vital step towards a more general formalism for real-world networks, as the generated knowledge will substantially improve our understanding of complex systems, and will directly impact the way we deal with structural and dynamical patterns in many systems, including ICT.

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