1 citations · 2 across the 5 of their papers we have counts for
6 papers
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…
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…
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…
The growth of the first non-Euclidean filling function of the quaternionic Heisenberg Group
Moritz Gruber
The filling volume functions of the n-th quaternionic Heisenberg group grow, up to dimension n, as fast as the ones of the Euclidean space. We identify the growth rate of the filli…
Filling Invariants of Stratified Nilpotent Lie Groups
Moritz Gruber
Filling invariants are measurements of a metric space describing the behaviour of isoperimetric inequalities. In this article we examine filling functions and higher divergence fun…
Higher Divergence Functions for Heisenberg Groups
Moritz Gruber
We prove a Filling Theorem for the Heisenberg Groups : For a given -cycle we construct a -chain (the filling) with boundary and controlle…