5 citations · 15 across the 5 of their papers we have counts for
5 papers
Bolytrope orders
Yassine El Maazouz, Gabriele Nebe, Mima Stanojkovski
Bolytropes are bounded subsets of an affine building that consist of all points that have distance at most from some polytrope. We prove that the points of a bolytrope describe…
Orders and Polytropes: Matrix Algebras from Valuations
Yassine El Maazouz, Marvin Anas Hahn, Gabriele Nebe +2
We apply tropical geometry to study matrix algebras over a field with valuation. Using the shapes of min-max convexity, known as polytropes, we revisit the graduated orders introdu…
Valued rank-metric codes
Yassine El Maazouz, Marvin Anas Hahn, Alessandro Neri +1
In this paper, we study linear spaces of matrices defined over discretely valued fields and discuss their dimension and minimal rank drops over the associated residue fields. To th…
The Gaussian entropy map in valued fields
Yassine El Maazouz
We exhibit the analog of the entropy map for multivariate Gaussian distributions on local fields. As in the real case, the image of this map lies in the supermodular cone and it de…
Statistics and tropicalization of local field Gaussian measures
Yassine El Maazouz, Ngoc Mai Tran
This paper aims to lay the foundations for statistics over local fields, such as the field of -adic numbers. Over such fields, we give characterizations for maximum likelihood e…