An Introduction to Complex Systems in Environment

The environment is a social issue that continues to grow in importance. Its complexity, both cross-disciplinary and multi-scale, has given rise to a large number of scientific and technological locks, that can be solved using a complex systems approaches. Through this courses we will give some examples of complex systems that can be found in environment and their observable, we will highlight the variability of these fields over a wide range of scales. We will focus on the fractal/multifractal behaviour of the environnemental fields and introduce some tools that allow us to charchterize their spatial/temporal variability. The courses is devided in 11 modules as follows:

• Introduction
• Source of Complexity
• Dynamical Systems
• Cascade Phenomenology
• Spectral Analysis
• MultiScale Analysis: Fractal
• MultiScale Analysis :Multifractal
• Multiscale Analysis: Methods of Analysis
• MultiScale Simulations
• Extremes
• Resilience

Author : yacine.mezemate@enpc.fr
Project Manager : daniel.schertzer@enpc.fr