Difference between revisions of "Cognitive Regime Shift I - When the Brain Breaks/On the Stability of Large Ecological Communities"
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|Presenter=JacopoGrilli | |Presenter=JacopoGrilli | ||
| − | |Pre-meeting notes=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. | + | |Pre-meeting notes=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 | ||
| + | |Post-meeting notes=- dynamics: if we think at aging as the approach of critical transition we have specific predictions: critical slowing down, flickering, etc | ||
| − | + | - information: where is information in this dynamical / tipping point picture? Do we need it? | |
| − | - | + | - scales and information: at what scale should we look at the brain to "explain" the interesting (information) phenomena? |
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Revision as of 18:03, July 25, 2018
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
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