Cognitive Regime Shift I - When the Brain Breaks/On the Stability of Large Ecological Communities
July 23, 2018
4:20 pm - 5:10 am
- Presenter
Jacopo Grilli (ICTP)
- Abstract
Ecological communities (more generally, non-linear systems) often showmultiple regimes, which are separated by a sharp and rapid transition. I will discuss the scenario when the driver of the transition is the structure of interactions. Random matrix theory has a powerful set of tools that can be used to unveil the relation between interaction structure and dynamics.<brclass="mw_emptyline_first"><brclass="mw_emptyline">Take home messages:<brclass="mw_emptyline_first"><brclass="mw_emptyline">- universality: when many components interact many details do not matter (e.g. the distribution of interaction coefficients) and few global properties of the interactions determine the relevant dynamical properties - the effect of the structure (whether a given network structure is stabilizing or destabilizing compared to the null/random case) *depends* on the interaction strengths properties
- Presentation file(s)
- Download Presentation (Delete)
- Related files