skip to content

Faculty of Economics

Journal Cover

Salnikov, V., Cassese, D. and Lambiotte, R.

Simplicial complexes and complex systems

European Journal of Physics

Abstract: We provide a short introduction to the field of topological data analysis (TDA) and discuss its possible relevance for the study of complex systems. TDA provides a set of tools to characterise the shape of data, in terms of the presence of holes or cavities between the points. The methods, based on the notion of simplicial complexes, generalise standard network tools by naturally allowing for many-body interactions and providing results robust under continuous deformations of the data. We present strengths and weaknesses of current methods, as well as a range of empirical studies relevant to the field of complex systems, before identifying future methodological challenges to help understand the emergence of collective phenomena.

Author links: Daniele Cassese  

Publisher's Link: https://doi.org/10.1088/1361-6404/aae790



Papers and Publications



Recent Publications


Elliott, M. and Golub, B. A network approach to public goods accepted, Journal of Political Economy [2018]

Jochmans, K., and Weidner, M. Fixed-Effect Regressions on Network Data Econometrica, forthcoming [2019]

Carvalho, V. M. and Grassi, B. Large Firm Dynamics and the Business Cycle American Economic Review [2019]