1 citations · 1 across the 12 of their papers we have counts for
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Statistical Field Theory and Neural Structures Dynamics III: Effective Action for Connectivities, Interactions and Emerging Collective States
Pierre Gosselin, Aïleen Lotz
This paper elaborates on the effective field theory for the connectivity field previously introduced in ([7]). We demonstrate that dynamic interactions among connectivities induce…
Statistical Field Theory and Neural Structures Dynamics II: Signals Propagation, Interferences, Bound States
Pierre Gosselin, Aïleen Lotz
We continue our study of a field formalism for large sets of interacting neurons, together with their connectivity functions. Expanding upon the foundation laid in ([9]), we formul…
Statistical Field Theory and Neural Structures Dynamics I: Action Functionals, Background States and External Perturbations
Pierre Gosselin, Aïleen Lotz
This series of papers models the dynamics of a large set of interacting neurons within the framework of statistical field theory. The system is described using a two-field model. T…
Statistical Field Theory and Neural Structures Dynamics IV: Field-Theoretic Formalism for Interacting Collective States
Pierre Gosselin, Aïleen Lotz
Building upon the findings presented in the first three papers of this series, we formulate an effective field theory for interacting collective states. These states consist of a l…