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 Main Programme 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) Convocatoria de propuestas H2020-MSCA-IF-2015 Consulte otros proyectos de esta convocatoria Régimen de financiación MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF) 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 Ver en el mapa Región South East (England) Berkshire, Buckinghamshire and Oxfordshire Oxfordshire Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 251 857,80 Socios (1) Ordenar alfabéticamente Ordenar por aportación neta de la UE Ampliar todo Contraer todo Socio Las organizaciones asociadas contribuyen a la aplicación de la acción, pero no firman el acuerdo de subvención. MASSACHUSETTS INSTITUTE OF TECHNOLOGY Estados Unidos Aportación neta de la UEn € 0,00 Dirección MASSACHUSETTS AVENUE 77 02139 Cambridge Ver en el mapa Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 160 130,40
