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Keynote Lecture

 

Communicability in Networked Systems. Implications for Stability, Spatial Efficiency and Dynamical Process

Ernesto Estrada
University of Strathclyde
United Kingdom
 

Brief Bio
Professor Estrada has an internationally leading reputation for shaping and developing the study of complex networks. His expertise ranges in the areas of network structure, algebraic network theory, dynamical systems on networks and the study of random models of networks. He has a distinguished track record of high-quality publications, which has attracted more than 8,000 citations. His h-index (number of papers with at least h citations) is 51. His publications are in the areas of network theory and its applications to social, ecological, engineering, physical, chemical and biological real-world problems. Professor Estrada has published two text books on network sciences both published by Oxford University Press in 2011 and 2015, respectively. He has demonstrated a continuous international leadership in his field where he has been invited and plenary speaker at the major conferences in network sciences and applied mathematics.


Abstract
This keynote lecture will motivate and introduce the concept of network communicability. It will give a few examples of applications of this concept to biological, social, infrastructural and engineering networked systems. Building on this concept we will show how a Euclidean geometry emerges naturally from the communicability patterns in networked complex systems. This communicability geometry characterises the spatial efficiency of networks. We will show how the communicability function allows a natural characterization of network stability and their robustness to external perturbations of the system. Finally, we will show that theoretical parameters derived from the communicability function determine the robustness of dynamical processes taking place on the networks, such as diffusion and synchronization. All the lecture will be characterized by a combination of rigorous results and illustrative examples from the real-world.



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