Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Gruber, Moritz"'
Autor:
Pereira, Inês, Frässle, Stefan, Heinzle, Jakob, Schöbi, Dario, Do, Cao Tri, Gruber, Moritz, Stephan, Klaas E.
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 functional magnetic resonance imaging data, DCM has been extended to e
Externí odkaz:
http://arxiv.org/abs/2104.02957
Autor:
Gruber, Moritz
This article treats isoperimetric inequalities for integral currents in the setting of stratified nilpotent Lie groups equipped with left-invariant Riemannian metrics. We prove that for each such group there is a dimension in which no Euclidean isope
Externí odkaz:
http://arxiv.org/abs/1902.05469
Autor:
Gruber, Moritz
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 to the fillings. We prove that these additional requirements do not h
Externí odkaz:
http://arxiv.org/abs/1807.10305
Autor:
Gruber, Moritz
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 filling volume function in dimension n+1, which is strictly faster than the
Externí odkaz:
http://arxiv.org/abs/1702.00954
Autor:
Gruber, Moritz
Filling invariants are measurements of a metric space describing the behaviour of isoperimetric inequalities. In this article we examine filling functions and higher divergence functions. We prove for a class of stratified nilpotent Lie groups that i
Externí odkaz:
http://arxiv.org/abs/1507.04871
Autor:
Gruber, Moritz
We prove a Filling Theorem for the Heisenberg Groups $H^{2n+1}$: For a given $k$-cycle $a$ we construct a $(k+1)$-chain $b$ (the filling) with boundary $\partial b=a$ and controlled volume. For this filling $b$ we prove a uniform bound on the distanc
Externí odkaz:
http://arxiv.org/abs/1410.4064
Akademický článek
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Autor:
Gruber, Moritz1 moritz.gruber@kit.edu
Publikováno v:
Frontiers of Mathematics in China. Oct2016, Vol. 11 Issue 5, p1239-1258. 20p.
