The stability o f n onm onoton ic equilibria o f the V lasov-Poisson equation is assessed by using nonlinear constants o f m otion . The constants o f m otion m ake up the free energy o f the system , which upon variation y ields nonm onotonic equ ilibria . Such equilibria have not previously been obtainable from a variation principle, but here this is accom plished by the inclusion o f a passi...

We focus on the class of regular models defined by Várady et al. for reverse engineering purposes. Given a 3D surfaceM represented through a dense set of points, we present a novel algorithm that convertsM to a hierarchical representationHM. InHM, the surface is encoded through patches of various shape and size, which form a hierarchical atlas. IfM belongs to the class of regular models, thenHM...

We present a new numerical abstract domain. This domain automatically detects and proves bounds on the values of program variables. For that purpose, it relates variable values to a clock counter. More precisely, it bounds these values with the i-th iterate of the function [X 7→ α×X+β] applied onM , where i denotes the clock counter and the floating-point numbers α, β, and M are discovered by t...

LetM = (M,OM) be a smooth supermanifold with connection ∇ and Batchelor model OM ∼= ΓΛE∗ . From (M,∇) we construct a connection on the total space of the vector bundle E →M . This reduction of∇ is well-defined independently of the isomorphism OM ∼= ΓΛE∗ . It erases information, but however it turns out that the natural identification of supercurves inM (as maps from R1|1 toM) with curves in E r...

OPSOMMING Daar bestaan ’n dringende behoefte aan ’n gesonde balans tussen wetenskap en die mensdom . Verpleging moet nie net suiwer tegnies of meganies wees nie; die verpleegster moet haarself noodwendig as versorgende mens gee. Die verpleegproses behels ’n verandering in die aard van die verpleegster waardeur sy daartoe kom om haarself te gee, wetenskaplik te dink en die gewoonte aankweek om a...

The q; t-Macdonald polynomials are conjectured by Garsia and Haiman to have a representation theoretic interpretation in terms of the Sn-module M spanned by the derivatives of a certain polynomial (x1; x2; : : : ; xn; y1; y2; : : : ; yn). The diagonal action of a permutation 2 Sn on a polynomial P = P (x1; x2; : : : ; xn; y1; y2; : : : ; yn) is de ned by setting P = P (x 1 ; x 2 ; : : : ; x n; ...

Linker of nucleoskeleton and cytoskeleton (LINC) complexes span the double membrane of the nuclear envelope (NE) and physically connect nuclear structures to cytoskeletal elements. LINC complexes are envisioned as force transducers in the NE, which facilitate processes like nuclear anchorage and migration, or chromosome movements. The complexes are built from members of two evolutionary conserv...

Abstract. The Grassmann path integral approach is used to calculate exact partition functions of the Ising model onM×N square (sq), plane triangular (pt) and honeycomb (hc) lattices with periodic-periodic (pp), periodic-antiperiodic (pa), antiperiodicperiodic (ap) and antiperiodic-antiperiodic (aa) boundary conditions. The partition functions are used to calculate and plot the specific heat, C/...

In this paper we shall discuss hypersurfaces M of space forms of constant curvature; where curvature means one of the symmetric functions of curvature associated to the second fundamental form. The values of the constant will be chosen so that the linearized equation will be an elliptic equation onM . For example, for surfaces in 3 the two possible curvatures are the mean curvature H and the Ga...

We study Chern-Simons theory on 3-manifolds M that are circle-bundles over 2dimensional surfaces Σ and show that the method of Abelianisation, previously employed for trivial bundles Σ× S, can be adapted to this case. This reduces the non-Abelian theory onM to a 2-dimensional Abelian theory on Σ which we identify with q-deformed Yang-Mills theory, as anticipated by Vafa et al. We compare and co...