Splitting polytopes
S Herrmann, M Joswig - arXiv preprint arXiv:0805.0774, 2008 - arxiv.org
… A polytopal complex is zonotopal if each face is zonotope. A zonotope is the Minkowski sum
of line segments or, equivalently, the affine projection of a regular cube. Any graph, that is, a …
of line segments or, equivalently, the affine projection of a regular cube. Any graph, that is, a …
[PDF][PDF] REARRANGEMENTS CONVEXES DES TRAJECTOIRES DE PRO. CESSUS STOCHASTIQUES
Y DAVYDOV, S COHEN, A PHILIPPE, Z SHI… - pepite-depot.univ-lille.fr
… En reprenant l'idée de Davydov et Vershik [32] nous avons considéré Zn, les zonotopes (d
+ 1)dime~~sionnels engendrés par les accroissements du processus sur la subdivision …
+ 1)dime~~sionnels engendrés par les accroissements du processus sur la subdivision …
Formal verification of hybrid systems
R Alur - Proceedings of the ninth ACM international conference …, 2011 - dl.acm.org
… Representation using zonotopes and support functions [22,26] has so far resulted in the
most scalable approach for the analysis of linear hybrid systems, leading to the tool SpaceEx …
most scalable approach for the analysis of linear hybrid systems, leading to the tool SpaceEx …
Control of constrained nonlinear uncertain discrete-time systems via robust controllable sets: a modal interval analysis approach
A general framework for computing robust controllable sets of constrained nonlinear
uncertain discrete-time systems as well as controlling such complex systems based on the …
uncertain discrete-time systems as well as controlling such complex systems based on the …
Non-coherent Components of the Toric Hilbert Scheme
R Birkner - arXiv preprint arXiv:1009.4321, 2010 - arxiv.org
We want to understand the geometry of all irreducible components of the toric Hilbert scheme.
Until now it is known that the coherent component is (up to normalisation) the toric variety …
Until now it is known that the coherent component is (up to normalisation) the toric variety …
Quantifying the precision of numerical abstract domains
P Sotin - 2010 - hal.inria.fr
In the context of the Abstract Interpretation framework, initiated by Cousot and Cousot to
model program static analyses, numerous numerical abstract domains have been proposed. …
model program static analyses, numerous numerical abstract domains have been proposed. …
Minimum volume semialgebraic sets for robust estimation
F Dabbene, D Henrion - arXiv preprint arXiv:1210.3183, 2012 - arxiv.org
… increased estimation accuracy, while zonotopes have been also recently studied in [1, 10]. …
Robust fault detection using zonotope-based set-membership consistency test. International …
Robust fault detection using zonotope-based set-membership consistency test. International …
Kostant partitions functions and flow polytopes
W Baldoni, M Vergne - Transformation Groups, 2008 - Springer
This paper discusses volumes and Ehrhart polynomials in the context of flow polytopes. The
general approach that studies these functions via rational functions with poles on …
general approach that studies these functions via rational functions with poles on …
[PDF][PDF] Contribution au pronostic des systèmes à base de modèles: théorie et application
D Gucik-Derigny - l'Université Paul Cézanne Aix-Marseille III …, 2011 - researchgate.net
Ce chapitre est constitué de généralités sur le pronostic. Le but est de donner des définitions
de base liées au diagnostic/pronostic et de situer le pronostic dans son environnement à la …
de base liées au diagnostic/pronostic et de situer le pronostic dans son environnement à la …
[HTML][HTML] A quasisymmetric function for matroids
LJ Billera, N Jia, V Reiner - European Journal of Combinatorics, 2009 - Elsevier
A new isomorphism invariant of matroids is introduced, in the form of a quasisymmetric
function. This invariant: • defines a Hopf morphism from the Hopf algebra of matroids to the …
function. This invariant: • defines a Hopf morphism from the Hopf algebra of matroids to the …