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Dynamics and Structure of Networks

Descripción del proyecto

Una teoría rigurosa para analizar el comportamiento complejo de redes dinámicas

Las redes están presentes en prácticamente todas las áreas de la ciencia y la tecnología, desde internet a las redes sociales, y las redes genéticas que determinan nuestra existencia. El proyecto DYNASNET, financiado con fondos europeos, se propone involucrar a los principales expertos en ciencia de redes y teoría de grafos para desarrollar una teoría matemática rigurosa de redes dinámicas. El objetivo es analizar, predecir y controlar mejor el comportamiento de las redes reales. Tanto la ciencia de redes como la teoría de grafos han logrado avances sobresalientes durante el último decenio: la ciencia de redes ha proporcionado un enfoque topológico basado en datos para modelizar redes complejas. El trabajo del proyecto podría redefinir la comprensión de los sistemas complejos, con aplicaciones en una amplia variedad de campos.

Objetivo

Networks define our life, being essential to cell biology, communications, social and economic systems, and impacting virtually all areas of science and technology. The aim of this proposal is to engage leading experts in network science and graph theory to build a mathematically sound theory of dynamical networks, which will be transformative to our understanding of complex systems, with applications in multiple disciplines.
Both fields have made major conceptual advances in the past decade: network science has offered a data-based basic topological description of complex networks, and has started to address the inherently dynamical nature of real networks, their reconstruction and control; in mathematics we have seen major advances in graph limit theory, the local-global dichotomy in observation, and promising steps in the theory of graphs with intermediate degrees, that capture real networks. While these concepts offer different formalisms to capture the same underlying reality, there has been no conversation between the two communities, limiting our understanding of real networks.
The proposed research aims to build on these advances to construct a coherent theory of dynamical networks, and to exploit its applications and predictive power to various real systems. We plan to offer a sound mathematical foundation of network science, helping us better analyze, predict and control the behavior of real networks. It will benefit mathematics in leading to an enriched, robust graph limit theory, with exciting applications in multiple areas of mathematics. To enhance the wider impact of the proposed mathematical advances, we plan to conduct a permanent conversation with experts from different domains that encounter and explore real networks, from cell biology to brain science and transportation and communication networks, inspiring with novel questions and helping the application of our advances in these domains.

Régimen de financiación

ERC-SyG - Synergy grant

Institución de acogida

HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
Aportación neta de la UEn
€ 3 484 324,00
Dirección
REALTANODA STREET 13-15
1053 Budapest
Hungría

Ver en el mapa

Región
Közép-Magyarország Budapest Budapest
Tipo de actividad
Other
Enlaces
Coste total
€ 3 484 324,00

Beneficiarios (4)