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Information Flow in First-Order Potts Model Phase Transition
Joshua Brown, Terry Bossomaier, Lionel Barnett
Phase transitions abound in nature and society, and, from species extinction to stock market collapse, their prediction is of widespread importance. In earlier work we showed that…
Information Flow in Finite Flocks with Topological Interactions
Joshua Brown, Terry Bossomaier, Lionel Barnett
We simulate the Vicsek model utilising topological neighbour interactions and estimate information theoretic quantities as a function of noise, the variability in the extent to whi…
Information Flow in Finite Flocks
Joshua Brown, Terry Bossomaier, Lionel Barnett
We simulate the canonical Vicsek model and estimate the flow of information as a function of noise (the variability in the extent to which each animal aligns with its neighbours).…
Anomalous Behaviour of Mutual Information in Finite Flocks
Lionel Barnett, Joshua Brown, Terry Bossomaier
The existing consensus is that flocks are poised at criticality, entailing long correlation lengths and a maximal value of Shannon mutual information in the large-system limit. We…