3 papers
q-bio.QM2021
Conductance-based Dynamic Causal Modeling: A mathematical review of its application to cross-power spectral densities
Inês Pereira, Stefan Frässle, Jakob Heinzle +4
Dynamic Causal Modeling (DCM) is a Bayesian framework for inferring on hidden (latent) neuronal states, based on measurements of brain activity. Since its introduction in 2003 for…
math.MG2019
Non-Euclidean isoperimetric inequalities for nilpotent Lie groups
Moritz Gruber
This article treats isoperimetric inequalities for integral currents in the setting of stratified nilpotent Lie groups equipped with left-invariant Riemannian metrics. We prove tha…
math.MG2018
Higher divergence for nilpotent groups
Moritz Gruber
The higher divergence of a metric space describes its isoperimetric behaviour at infinity. It is closely related to the higher-dimensional Dehn functions, but has more requirements…