A method to study the effect of renewable resource variability on power system dynamics

YC Chen, AD Dominguez-Garcia - IEEE Transactions on Power …, 2012 - ieeexplore.ieee.org
… sum; however as time increases, the order of bounding zonotope increases by a factor equal
to the order of the zonotope describing the initial conditions divided by . On the other hand, …

A Salvetti complex for toric arrangements and its fundamental group

G d'Antonio, E Delucchi - International Mathematics Research …, 2012 - ieeexplore.ieee.org
We describe a combinatorial model for the complement of a complexified toric arrangement
by using nerves of acyclic categories. This generalizes recent work of Moci and Settepanella …

A generalization of p-boxes to affine arithmetic

O Bouissou, E Goubault, J Goubault-Larrecq, S Putot - Computing, 2012 - Springer
… are zonotopes (particular central symmetric polytopes), parametrized by affine forms. These
might … to higher-order Taylor models [12] instead of order one models such as zonotopes. …

Finiteness properties of Chevalley groups over the Laurent polynomial ring over a finite field

S Witzel - arXiv preprint arXiv:1007.5216, 2010 - arxiv.org
… We are interested in the situation where Z is a zonotope. For our purpose a zonotope is
described by a … The zonotopes we will be concerned with have the following interesting property: …

On the conjecture of King for smooth toric Deligne–Mumford stacks

L Borisov, Z Hua - Advances in Mathematics, 2009 - Elsevier
… For arbitrary Picard numbers and dimension two, P is a zonotope, ie a Minkowski sum of …
We define the zonotope ̂P in ̂ PicR(PΣ) which is the Minkowski sum of segments [̂ti,−̂ti] …

Non-archimedean coamoebae

M Nisse, F Sottile - arXiv preprint arXiv:1110.1033, 2011 - arxiv.org
… The non-archimedean coamoeba of a tropically simple variety is essentially an object of
polyhedral combinatorics and may be realized as a union of products of zonotope complements …

Wonderful models for toric arrangements

L Moci - International Mathematics Research Notices, 2012 - ieeexplore.ieee.org
We build a wonderful model for toric arrangements. We develop the “toric analog” of the
combinatorics of nested sets, which allows us to define a family of smooth open sets covering …

[BOOK][B] Multivariate nonparametric methods with R: an approach based on spatial signs and ranks

H Oja - 2010 - books.google.com
This book offers a new, fairly efficient, and robust alternative to analyzing multivariate data.
The analysis of data based on multivariate spatial signs and ranks proceeds very much as …

[PDF][PDF] Zonoids induced by Gauss measure with an application to risk aversion

C Borell - ALEA Lat. Am. J. Probab. Math. Stat, 2009 - alea.impa.br
Suppose E is a real, separable Banach space and for each x∈ E denote by co {0,(1, x)} the
line segment joining the two points 0 and (1, x) in R× E. The aim of this paper is to discuss …

Sharp upper and lower bounds for nestohedra

VM Buchstaber, VD Volodin - Izvestiya: Mathematics, 2011 - iopscience.iop.org
We obtain sharp upper and lower bounds for the coefficients of the enumerative polynomials
of all flag nestohedra as well as for certain important subclasses including graph-…