Network Science

Francesca Biagini is a Full Professor of Applied Mathematics and Head of the Department of Mathematics, Ludwig-Maximilians-Univerität München (LMU Munich), Germany. Her main research interests include martingale methods for insurance markets, quadratic hedging methods, mathematical models for the formation of financial bubbles, and stochastic calculus for fractional Brownian motion.Göran Kauermann is a Full Professor of Statistics at the Department of Statistics, Ludwig-Maximilians-Universität München (LMU Munich), Germany. His main research interests include applied statistics in general, including semi- and nonparametric regression models, network data analysis and  data science.Thilo Meyer-Brandis is Professor of Applied Mathematics at the Department of Mathematics, Ludwig-Maximilians-Universität München (LMU Munich), Germany. His main research interests are within the field of probability theory with applications in financial and insurance mathematics, including stochastic (partial) differential equations, Malliavin calculus, mathematical models for systemic risk, pricing and hedging in commodity and electricity markets.

• Preface.- Introduction (Francesca Biagini, Göran Kauermann, Thilo Meyer-Brandis).- Network Visualization (Ulrik Brandes and Michael Sedlmair).- A Statistician’s View of Network Modeling (David R. Hunter).- The Rank-one and the Preferential Attachment Paradigm (Steffen Dereich).- Systemic Risk in Networks (Nils Detering, Thilo Meyer-Brandis, Konstantinos Panagiotou, Daniel Ritter).- Bayesian Networks for Max-linear Models (Claudia Klüppelberg, Steffen Lauritzen).- Introduction to Network Inference in Genomics (Ernst C. Wit).