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. |
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| + | Take home messages: | ||
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| + | - 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 | - 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 | |Post-meeting notes=- dynamics: if we think at aging as the approach of critical transition we have specific predictions: critical slowing down, flickering, etc | ||
Revision as of 21:00, August 2, 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.
Take home messages:
- 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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