Higher-order interactions and Laplacian dynamics in complex networks: structure, dynamics and control

Información del proyecto

HIntNets

Identificador del acuerdo de subvención: 702410

DOI

10.3030/702410

Proyecto finalizado el 1 Junio 2020

Fecha de la firma de la CE 28 Septiembre 2016

Fecha de inicio 1 Julio 2017

Fecha de finalización 18 Agosto 2020

Financiado con arreglo a

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Coste total

€ 251 857,80

Aportación de la UE

€ 251 857,80

Coordinado por

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
United Kingdom

Objetivo

Complex networks are an essential ingredient of modern life, and underpin integral parts of our biological, physical, technological and socio-economic universe. Thus far, such networks have been mainly represented as graphs. However, while graphs can capture pairwise interactions between nodes, fundamental interactions in networks often take place between multiple nodes. For example, in socio-economic networks, the joint coordinated activity of several agents (e.g. buyer, seller, broker); the formation and interactions of coalitions; the emergence of peer pressure; and the existence of triadic closure are all prevalent.

The objective of this interdisciplinary project is to investigate such non-binary interactions in complex networks and their dynamical implications. Specifically, we will investigate how such interactions can be taken into account for the modelling, analysis and design of complex networks.

To achieve this, we will extend the geometrical framework of simplicial complexes to account systematically for weighted non-binary couplings of nodes, node-pairs, triplets, etc., allowing us to consistently assess and design higher-order interactions. Here, we will focus on consensus and random walks as prototypical examples of a range of other phenomena. Working at the interface of Network Science and Control Theory, we will combine recent tools from both fields and apply our results to real biological and socio-economic networks and data. We will investigate how the consideration of non-binary couplings can yield an improved understanding of the propagation of external shocks in socio-economic networks, and help to reveal dynamical groupings in networks emerging from systems biology experiments.

Providing a synergy between the applicant’s multidisciplinary background and the leading Systems, Optimization and Control research of the hosts, this proposal holds the potential to leverage the candidate’s career and yield scientific results of general relevance.

Palabras clave

• complex networks
• dynamics on networks
• non-binary interactions
• simplicial complexes
• consensus dynamics
• Graph Laplacian
• discrete potential theory

Programa(s)

• H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions PROGRAMA PRINCIPAL
  
• H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
  

Tema(s)

• MSCA-IF-2015-GF - Marie Skłodowska-Curie Individual Fellowships (IF-GF)
  

Régimen de financiación

MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)

Convocatoria de propuestas

H2020-MSCA-IF-2015

Coordinador

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD

• Aportación neta de la UEn: € 251 857,80
• Dirección: WELLINGTON SQUARE UNIVERSITY OFFICES ; OX1 2JD Oxford ; Reino Unido
• Región: South East (England) › Berkshire, Buckinghamshire and Oxfordshire › Oxfordshire
• Tipo de actividad: Higher or Secondary Education Establishments
• Coste total: € 251 857,80

Socios (1)

Socio

MASSACHUSETTS INSTITUTE OF TECHNOLOGY

Estados Unidos

• Aportación neta de la UEn: € 0,00
• Dirección: MASSACHUSETTS AVENUE 77 ; 02139 Cambridge
• Tipo de actividad: Higher or Secondary Education Establishments
• Coste total: Sin datos