Mathematical Technology of Networks

Delio Mugnolo is an assistant professor at the Institute of Applied Analysis at Ulm University. He completed his postdoctoral studies at the Department of Mathematics at the University of Bari, Italy, and earned his Ph.D. in Mathematics at the University of Tübingen, Germany. Since 2009, he has been a Fellow of the Young ZiF (Zentrum für interdisziplinäre Forschung) at Bielefeld University.

Lack of ground state for NLSE on bridge-type graphs.- Dynamics on a graph as the limit of the dynamics of a "fat graph".- Instability of stationary solutions of evolution.- Statistical characterization of a small world network applied to forest fires.- Network dynamics of an inverse problem.- Spectral inequalities for quantum graphs.- Intrinsic metrics on graphs - a survey.- Spectral gap for complete graphs: upper and lower estimates.- Sharp spectral estimates for periodic matrix-valued Jacobi operators.- Identifying key nodes in social networks using multi-criteria decision-making tools.- On band-gap structure of spectrum.- Spectra, energy and Laplacian energy of strong double graphs.- System/environment duality of nonequilibrium network observables.