1,676 research outputs found
Hyperbolicity preservers and majorization
The majorization order on \RR^n induces a natural partial ordering on the
space of univariate hyperbolic polynomials of degree . We characterize all
linear operators on polynomials that preserve majorization, and show that it is
sufficient (modulo obvious degree constraints) to preserve hyperbolicity.Comment: 4 pages, Published as C. R. Math. Acad. Sci. Paris 348 (2010),
843-84
Auxetic regions in large deformations of periodic frameworks
In materials science, auxetic behavior refers to lateral widening upon
stretching. We investigate the problem of finding domains of auxeticity in
global deformation spaces of periodic frameworks. Case studies include planar
periodic mechanisms constructed from quadrilaterals with diagonals as periods
and other frameworks with two vertex orbits. We relate several geometric and
kinematic descriptions.Comment: Presented at the International Conference on "Interdisciplinary
Applications of Kinematics" (IAK18), Lima, Peru, March 201
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