*Iteration Theory* is a branch of mathematics and includes topics related to discrete dynamical systems and functional equations. The aim of these theoretical studies is to model, analyze and understand iterative processes, for example systems with discrete time. Such systems arise in many different fields of application: engineering (eg. control theory and electronics), physics, mechanics, economics, biology, ecology, and so on.

20th ECIT follows the sequence of meetings started in Toulouse 1973. The previous one was held on Innsbruck 2016.

I present my recent work entitled Visibility Graphs of Fractional Logistic Time Series, in collaboration withAinara Mira-Iglesias, Cristóbal Rodero-Gómez, and Carlos Lizama. There we received very interesting feedback from Prof. Mark Edelman.