SCALES: Statistical ChAracterization of multi-scaLE complex Systems with information theory

OSE (Observations Signal & Environment)

Carlos GRANERO BELINCHON

Title: SCALES: Statistical ChAracterization of multi-scaLE complex Systems with information theory

Abstract: In nature, a large number of systems and processes present non-linear and multi-scale structures and behaviors, and are thus considered as complex systems. Because of these properties, models aiming at describing or predicting the behavior of complex systems need to take into account high-order statistics in a whole range of scales. In this talk, I propose to develop a new statistical description of multi-scale coupling and interactions based on Information Theory, which can be directly linked to complexity and then to the structure and state of this kind of systems. Such a framework will be able to characterize high order statistics across scales, and so, non-linear multi-scale behaviors. I will focus on the characterization of scale invariance and long range dependencies as well as on the study of regularity and stationarity across scales.

Keywords: Information Theory; Multiscale; Turbulence; Scale invariance, Regularity